Abstract
The p–n diodes represent the most fundamental device building blocks for diverse optoelectronic functions, but are difficult to achieve in atomically thin transition metal dichalcogenides (TMDs) due to the challenges in selectively doping them into p- or n-type semiconductors. Here, we demonstrate that an atomically thin and sharp heterojunction p–n diode can be created by vertically stacking p-type monolayer tungsten diselenide (WSe2) and n-type few-layer molybdenum disulfide (MoS2). Electrical measurements of the vertically staked WSe2/MoS2 heterojunctions reveal excellent current rectification behavior with an ideality factor of 1.2. Photocurrent mapping shows rapid photoresponse over the entire overlapping region with a highest external quantum efficiency up to 12%. Electroluminescence studies show prominent band edge excitonic emission and strikingly enhanced hot-electron luminescence. A systematic investigation shows distinct layer-number dependent emission characteristics and reveals important insight about the origin of hot-electron luminescence and the nature of electron–orbital interaction in TMDs. We believe that these atomically thin heterojunction p–n diodes represent an interesting system for probing the fundamental electro-optical properties in TMDs and can open up a new pathway to novel optoelectronic devices such as atomically thin photodetectors, photovoltaics, as well as spin- and valley-polarized light emitting diodes, on-chip lasers.
Keywords: WSe2, MoS2, heterojunction, electroluminescence, photocurrent, van der Waals
Two-dimensional layered materials, such as graphene, MoS2, and WSe2, are emerging as an exciting material system for a new generation of atomically thin optoelectronics, including photodetectors,1−7 ultrafast lasers,8 polarizers,9 touch panels,10 and optical modulators11 due to their unique electronic and optical properties.12−23 In this regard, the monolayer transition metal dichalcogenides (ML-TMDs) is particularly interesting due to their direct energy bandgap and the non-centrosymmetric lattice structure.12,13 The p–n diodes represent the most fundamental device building blocks for most optoelectronic functions, including photodiodes and light emitting diodes. However, it is particularly difficult to create p–n diodes in atomically thin TMDs due to the challenges in selectively doping them into p- or n-type semiconductors. Contact engineering has been explored to create p–n diodes in TMD based layered materials.24 Electroluminescence (EL) from ML-MoS2 has been reported in a metal-MoS2 Schottky junction through a hot carrier process.25 Electrostatic doping has also been used to create planar p–n diodes, but usually with relatively gradual doping profile (limited by the fringe electrical field) and typically relatively low optoelectronic efficiency (e.g., photon to electron conversion external quantum efficiency (EQE) ∼0.1–1%).26−28
The atomically thin geometry of these 2D materials can allow band structure modulation in a vertically stacked heterostructures to form atomically sharp heterojunctions.29 For example, this strategy allows gapless graphene to be used in field-effect tunnelling devices,29,30 barristors,31 inverters,32 and photodetectors7 while staked together with other 2D materials in the vertical direction. Although the nearly perfect 2D structure and low density of states in graphene provide advantages in some heterostructure devices, its gapless nature prevents the formation of a large potential barrier for charge separation and current rectification. On the other hand, the vertical heterojunction p–n diode formed between a TMD material and a bulk material has recently been reported, but usually with no EL33,34 or very weak EL.35
Here we report an atomically thin p–n diode based on a heterojunction between synthetic p-type ML-WSe2 and exfoliated n-type MoS2 flake. The atomically thin p–n diode exhibits well-defined current rectification behavior and can enable efficient photocurrent generation with an EQE up to 12%. Unlike the planar structures where the active area is confined to the lateral interface region, photocurrent mapping shows fast photoresponse and demonstrates that the p–n junction is created throughout the entire WSe2/MoS2 overlapping area. Furthermore, prominent EL is observed with rich spectral features that can reveal important insights about electron–orbital interaction in TMD based materials.
The vertical heterojunction p–n diode is formed between synthetic p-type ML-WSe2 and exfoliated n-type MoS2 flake (Figure 1a,b). Triangular domains of ML-WSe2 was first synthesized on 300 nm Si/SiO2 substrate typically with a bilayer (BL) region in the center (see Figure 2a), which were characterized by using optical microscope, atomic force microscopy (AFM), and Raman spectroscopy (Supporting Information Figure S1). Mechanically exfoliated MoS2 flakes were then transferred onto synthetic WSe2 domains to form vertically stacked heterojunctions. Electron-beam lithography and electron beam evaporation were used to define the contact electrodes. A thin Ni/Au film (5 nm/50 nm) and Au film (50 nm) were used as the electrode for MoS2 flake36 and WSe2 domain to form Ohmic contacts with minimized contact resistance and potential barrier (Figure 1b). Figure 1c shows the ideal band diagrams of the heterojunction p–n diode at zero bias. The built-in potential and applied voltage are mainly supported by a depletion layer with abrupt atomic boundaries, and outside the boundaries, the semiconductor is assumed to be neutral.
Figure 2a shows an optical microscopy image of a synthetic WSe2 domain on 300 nm Si/SiO2 substrate. A triangular shaped BL-WSe2 domain was typically observed in the center of the triangular ML-WSe2 domain, indicating the nearly perfect lattice structure of the synthetic WSe2. Figure 2b shows a top-view scanning electron microscopy (SEM) image of the vertical heterojunction. The MoS2, WSe2 layers and the contact electrodes are labeled with different artificial colors to highlight the device structure. Photoluminescence (PL) mapping was used to illustrate the stacking structure of WSe2/MoS2 heterojunction (Figure 2c). The PL mapping shows distinct PL emission from WSe2 (red region in Figure 2c) and MoS2 region (green region in Figure 2c), with a consistent structure layout as that observed in the SEM image (Figure 2b). The uniform PL from WSe2 and MoS2 also indicates the excellent quality of the TMD materials. The PL spectra of WSe2 show a strong layer-number dependence (Figure 2d), with the PL intensity in ML-WSe2 at least 10 times stronger than that in BL-WSe2. The PL spectrum in ML-WSe2 shows a peak at 785 nm, corresponding to the “A” exciton peak.37 The PL in BL-WSe2 also exhibits the “A” exciton peak with an additional broad peak at ∼877 nm, which is attributed to indirect band gap emission (typically label as “I” peak).16 These PL studies are consistent with previous experimental studies and theoretical calculations,16,37 indicating the good crystalline quality of the synthetic WSe2. The PL spectrum from MoS2 flake shows a peak at 677 nm, corresponding to “A” exciton peak in MoS2. It is also important to note that the “B” exciton peak can be observed in both WSe2 (605 nm) and MoS2 (620 nm), but with the intensity typically 2–3 order magnitude weaker than the “A” exciton peak (Figure 2d inset).
We have further characterized the atomic structure of the stacked heterojunction using cross-sectional transmission electron microscope (TEM) studies. The high resolution TEM image clearly shows the WSe2/MoS2 heterojunction with a 13-layer MoS2 flake on top of BL-WSe2 (Figure 2e). Energy dispersive X-ray spectroscopy (EDS) was further used to analyze the elemental distribution across the heterojunction interface. An EDS elemental line scan in vertical direction shows a rather narrow tungsten distribution profile located near the heterojunction interface (Figure 2f), with the full width at half-maximum ∼1.2 nm, corresponding to BL-WSe2 observed in Figure 2e. Together, these structural and PL characterizations demonstrate that the atomically sharp heterojunctions are formed by vertically stacking atomically thin WSe2 and MoS2.
Before testing the electrical characteristics of the heterojunction p–n diodes, we have first characterized the electrical transport properties of MoS2 and WSe2 to ensure Ohmic contacts were achieved. To this end, the MoS2 and WSe2 field effect transistors (FETs) were fabricated on Si/SiO2 substrate, with Ni/Au thin film as the source-drain contacts for MoS2, and Au thin film as the contacts for WSe2, and the silicon substrate as a back gate electrodes. Figure 3a and b show the Ids–Vds characteristics at varying back gate voltages for MoS2 and WSe2, respectively. Importantly, a linear Ids–Vds relationship is clearly observed for both MoS2 and WSe2, indicating Ohmic contacts are achieved for both materials. The formation of Ohmic contacts for both MoS2 and WSe2 is very important because the Schottky barrier at the contact area may severely affect the electronic and optoelectronic characteristics of the vertical heterojunction and could induce photocurrent generation or EL at the contact region.25 Furthermore, Ids–Vds plots at varying back gate voltage show that the current increases with increasing positive gate voltage for MoS2, indicating an n-type semiconductor behavior. On the contrary, the current increases with decreasing negative gate voltage in WSe2 FET, consistent with the p-type characteristics.
With Ohmic contacts formed for both MoS2 and WSe2, we continue to probe the electrical transport properties of the heterojunction p–n diode. Importantly, a clear current rectification behavior is observed in (Ids–Vds) plots for the WSe2/MoS2 heterojunction (Figure 3c), with current only being able to pass through the device when the p-type WSe2 is positively biased. The observation of current rectification clearly demonstrates a p–n diode is formed within the atomically thin WSe2/MoS2 heterojunction. The ultrathin nature of the heterojunction allows gate tunability of the diode characteristics. The diode output characteristics (Ids–Vds) under different back gate voltage show that the output current decreases with increasing positive gate voltage, suggesting that the p-type WSe2 is partly limiting the charge transport in the device.
The Ids–Vds output characteristics of the vertical heterojunction under forward bias can be viewed as a vertical heterojunction p–n diode in series with an additional p-type FET due to the side contact on WSe2. In general, the heterojunction p–n diode resistance decreases exponentially with increasing bias voltage, and the series p-FET resistance is nearly constant with bias voltage. Therefore, the heterojunction resistance is dominated by p–n diode at low bias and dominated by the p-type WSe2 FET under high forward bias. We have also fitted the diode characteristics and calculated the ideality factor of our heterojunction device based on the model of a p–n diode with a series resistor (Figure 3d). Importantly, an ideality factor of n = 1.2 was derived with a series resistance of 80 MΩ, at zero gate voltage, and an ideality factor of n = 1.3 was derived with a series resistance of 33 MΩ, at −20 V gate voltage. The achievement of ideality factor close to 1 indicates the excellent diode behavior of our atomically sharp heterojunction p–n diode. The decrease of the series resistance with increasing negative gate voltage is also consistent with our model that the p-type WSe2 is the limiting series resistor at high forward bias.
The electrical measurements indicate excellent diode behavior in the atomically thin vertical heterojunction. To further characterize the diode characteristics in our vertical heterojunction, the photocurrent mapping was carried out at zero bias under a confocal microscope. Figure 4a shows an optical microscope image of the WSe2/MoS2 heterojunction depicting the relative position between WSe2, MoS2, and the electrodes. The corresponding photocurrent mapping at zero bias with a 514 nm laser excitation (5 μW) is shown in Figure 4b, with the ML-WSe2 region outlined by purple dotted line, few-layer MoS2 outlined by blue dotted line, and the electrodes outlined by golden solid lines. The photocurrent mapping shows clear photoresponse from the entire overlapping region, indicating the formation of p–n junction across the entire WSe2/MoS2 overlapping area. It is also interesting to note that the photocurrent in ML-WSe2/MoS2 region is much stronger than that in BL-WSe2/MoS2 region, suggesting that the direct band gap plays an important role in the photocurrent generation process.6,7 A detailed understanding of the different response of ML vs BL-WSe2/MoS2 will be an interesting topic for future studies. No measurable photocurrent was observed from the non-overlapping regions (only WSe2 or MoS2) or the electrical contacts, which is expected for zero bias photocurrent because the photogenerated carries in the regions outside p–n junction cannot be effectively separated and extracted.
The output characteristics (Ids–Vds) of the vertical heterojunction with and without laser illumination (514 nm, 5 μW) show clear photovoltaic effect with an open-circuit voltage of ∼0.27 V and a short-circuit current of ∼0.22 μA (Figure 4c). In general, the photoresponse exhibits a rapid temporal response beyond our experimental time resolution of 100 μs (Figure 4c inset), demonstrating that the photoresponse is originated from photocarrier generation rather than any other extrinsic effects. Based on the photocurrent response and input laser power, we can determine the external quantum efficiency (EQE) of the photon to electron conversion. The EQE (η) is defined as the ratio of the number of carriers collected by electrodes to the number of the incident photon, or η = (Iph/q)/(P/hν) × 100% where Iph is the photocurrent, h is Planck’s constant, ν is the frequency of light, q is the electron charge, and P is the incident light power. Our study showed that the EQE in our vertical heterojunction can reach 11% under a 514 nm laser excitation with a power of 5 μW. Furthermore, it is found that the EQE decreases with increasing excitation power (Figure 4d), with a maximum EQE of 12% observed under an excitation power of 0.5 μW. The decreasing EQE with increasing excitation power could be attributed partly to absorption saturation in WSe2 and partly to the screening of the built-in electric field by the excited holes in the valence band of WSe2.38 The power dependent EQE of the same device under 633 nm excitation shows a similar trend but with generally lower values than those under 514 nm excitation, which may be attributed to the spectral dependent optical absorption coefficient.6 It is important to note that the EQE observed in the vertical WSe2/MoS2 heterostructure devices is much higher than those in lateral electrostatically doped WSe2p–n homojunctions (0.1–3%),27,28 which may be partly attributed to more efficient charge separation resulting from an atomically sharp vertical p–n junction. In contrast, the electrostatic doping would typically exhibit a spatial doping gradient, and is difficult to achieve atomically sharp junctions.
The above electrical transport and photocurrent studies demonstrate excellent p–n diode characteristics in the atomically sharp WSe2/MoS2 heterojunction. Because p–n diode represents the basic device element for a light-emitting diode, we have further investigated the electroluminescence from these heterojunction p–n diodes. Figure 5a shows an EL image acquired under a forward bias of 3 V and a forward current of ∼100 μA. The shapes of WSe2, MoS2, and gold electrodes were outlined in the same way as before to identify the position of the EL. In contrast to the photocurrent generation from the entire overlapping area, it is important to note that the EL is localized at the overlapping area in close proximity to the electrodes. This can be explained by the electric field distribution in the heterojunction under different bias. For photocurrent mapping at zero bias (or a small bias less than the turn on voltage), the p–n diode junction resistance dominates the entire device, and therefore, photocurrent can be seen from the entire overlapping area where there is a p–n junction. For EL studies at much higher forward bias exceeding the p–n diode turn-on voltage, the resistance of the ML-WSe2 becomes an increasingly important component of the total resistance. Therefore, the most voltage drop occurs across the heterojunction edge near the electrodes due to the large series resistance of the ML-WSe2. This is also consistent with the result recently reported for MoS2/Si heterojunctions.35
Figure 5b and c show the EL spectra of a ML- and a BL-WSe2/MoS2 heterojunction with increasing injection current. The plot of the overall EL intensity as a function of injection current shows an apparent threshold (Figure 5d), with little EL below the threshold, and linear increase above threshold. The threshold current may be explained by the band alignment of the heterojunction under different bias voltages (Figure 5e and f). In general, due to different band gap and band alignment among the conduction band and valence band edge, the barrier for hole transport across the junction is smaller than that for the electrons. With increasing forward bias (below a certain threshold), the holes from WSe2 are first injected into n-type MoS2 region, whereas few electrons can overcome the barrier to reach WSe2 (Figure 5e). Due to the nature of indirect band gap in few-layer MoS2, the yield of radiative recombination is relatively low at this point. As a result, the EL intensity is very low when the hole injection dominates the charge transfer across the heterojunction. With further increasing bias across the heterojunction (above electron injection threshold), the conduction band of MoS2 is shifted upward, both electrons and holes can go cross the heterojunction and are injected into p-type and n-type region, respectively (Figure 5f). At this point, the radiative recombination in WSe2 dominates the EL with its intensity increasing linearly with the injection current. It is noted that the EL intensity observed in ML-WSe2/MoS2 heterojunction is much stronger than that in BL-WSe2/MoS2 heterojunction due to the higher radiative recombination rate in direct band gap ML-WSe2 vs indirect bandgap BL-WSe2.
The EL spectra show rich spectral features and can be well fitted using multiple Gaussian functions (Supporting Information Figure S2) with five main peaks, which can be assigned as excitonic peaks A (∼792 nm) and B (∼626 nm), hot electron luminescence (HEL) peaks A′ (∼546 nm) and B′ (∼483 nm) and an indirect band gap emission peak I (∼880 nm). The A exciton peak dominates the spectra of the EL in ML-WSe2 (Figure 5a), whereas the indirect band gap emission I is significant in BL-WSe2 (Figure 5b). Strikingly, the EL spectra of both ML- and BL-WSe2 show prominent B exciton peak and HEL A′, B′ peaks, which are usually 100–1000 times weaker than the A exciton peak in the PL measurements37 and have not been reported in EL previously. In contrast, the EL spectra of the vertical heterojunction show that the intensities of these HEL peaks are only 3–10 times weaker than the A exciton peak, suggesting a relative enhancement of the HEL by about 2 orders of magnitude in our EL studies, which may be attributed to the electric field induced carrier redistribution.39
The origin of the HEL peaks in TMD materials remains the subject of debate and is difficult to probe due to their low emission probability.37,40−42 The HEL peaks A′ and B′ are generally believed to arise from the splitting of the ground and excited states of A and B transitions due to the electron–orbital interaction via either inter- or intralayer perturbation or both.40,41 However, there is no yet clear evidence to prove which perturbation dominates the electron–orbital interaction. The emergence of intense HEL emission in our ML-WSe2/MoS2 and BL-WSe2/MoS2 heterojunction can offer a new platform to probe the origin of HEL peaks and the nature of electron–orbital interaction in TMDs. The presence of HEL peaks A′ and B′ in EL spectra of ML-WSe2/MoS2 heterojunction (Figure 5b) indicates that intralayer perturbation plays a role in the formation of these HEL peaks. On the other hand, it is noted that the relative intensities of HEL peaks (comparing with the respective A peak) in BL-WSe2/MoS2 heterojunction (Figure 5c) are clearly much stronger than that in ML-WSe2/MoS2 heterojunction, suggesting that interlayer perturbation may also contribute to the HEL peaks (which can be further supported by temperature dependent studies; see below).
To further probe physical mechanism governing the photon emission process in the atomically thin p–n diode, we have also conducted the temperature dependent EL studies at 25, 50, and 75 °C for both the ML- and BL-WSe2/MoS2 heterojunctions (Figure 5g and h) and plotted the normalized peak intensities for A and B′ peaks as a function of temperature (Figure 5i). For ML-WSe2/MoS2 heterojunction, the EL intensity of all spectral peaks show a consistent decrease with increasing temperature (Figure 5g and i), which is a common phenomenon in the LED devices and can be attributed to the exponential enhancement of nonradiative recombination rate with increasing temperature.39 In striking contrast, temperature dependent EL in the BL-WSe2/MoS2 heterojunction displays highly distinct features. First, the A exciton peak in BL-WSe2/MoS2 heterojunction shows an unusual increase (instead of decrease) with increasing temperature. (Figure 5h and i). This increase in A exciton emission may be explained by thermally decoupling neighboring layers via interlayer thermal expansion, which can induce a band gap crossover from the indirect gap to the direct one with the increasing decoupling at higher temperature. A similar thermal decoupling effect has been observed in MoSe2 by PL studies.43 Second, the HEL peak B′ (and A′) shows a much greater decrease with increasing temperature than that in ML -WSe2/MoS2, indicating the weakening of electron–orbital interaction with the decoupling neighboring layers. These temperature dependent characteristics are consistent seen in three devices studies and further suggest that the interlayer perturbation plays an important role in electron–orbital interaction in WSe2, which is consistent with the observation of strong interlayer excitons in TMD based heterojunctions.44,45
In summary, we have fabricated WSe2/MoS2 heterojunction p–n diodes with atomically thin geometry and atomically sharp interface. The scanning photocurrent measurement demonstrates that the p–n junction was formed over the entire overlapping area with a maximum photon-to-electron conversion EQE of 12%. The EL measurement allows for the identification of emission from different optical transitions. Hot electron luminescence peaks were observed in EL spectra of WSe2 for the first time and used to investigate the electron–orbital interaction in WSe2. Our novel heterojunction structure offers an interesting platform for fundamental investigation of the microscopic nature of the carrier generation, recombination and electro-optical properties of single or few-layer TMD materials, and can open up a new pathway to novel optoelectronic devices including atomically thin photodetectors, photovoltaics, as well as spin- or valley-polarized light emitting diodes and on-chip lasers.
Note added: During the finalization of this manuscript we became aware of two related studies.46,47
Methods
Fabrication of the Vertical Heterostructure Devices
To fabricate the vertical WSe2/MoS2 heterojunction devices, WSe2 was grown using a physical vapor deposition process on a Si/SiO2 (300 nm SiO2) substrate. A total of 0.2 g WSe2 powder (Alfa Aesar, 13084) was added into an alumina boat as precursor. The blank Si/SiO2 substrates (1 cm × 5 cm) were loaded into a home-built vapor deposition system in a horizontal tube furnace (Lindberg/Blue M) with 1 in. quartz tube. The system was pumped down to a vacuum of 10 mTorr in 10 min, and refilled with 150 sccm of ultrahigh purity argon gas (Airgas, ∼ 99.9999%) then heated to desired growth temperature within 30 min. After that, the growth kept at the desired temperature for 30 min, and then terminated by shutting off the power of the furnace. The sample was naturally cooled down to ambient temperature. The MoS2 flakes were then exfoliated onto the WSe2 flakes through a micromechanical cleavage approach. The metal electrodes (for probe contact or wire bonding purposes) were patterned on the Si/SiO2 substrates by using electron-beam lithography and electron-beam deposition of Ti/Au (50/50 nm) thin film. Ni/Au (5/50 nm) contact electrodes were then deposited to form the Ohmic contact to MoS2 and Au (50 nm) was deposited to form the Ohmic contact to WSe2.
Microscopic, Electrical, Optical, and Optoelectrical Characterizations
The microstructures and morphologies of the nanostructures are characterized by a JEOL 6700 scanning electron microscope (SEM). The cross-sectional image of the heterostructure device is obtained by an FEI Titan transmission electron microscope (TEM). The DC electrical transport measurements were conducted with a Lakeshore probe station (Model TTP4) and a computer-controlled analogue-to-digital converter (National Instruments model 6030E). The confocal micro-PL and Raman measurements were conducted on a Horiba LABHR confocal Raman system with 600 g/mm grating, 50× diffraction-limited objective (N.A. = 0.75), with an Ar laser (514 nm) or a He–Ne laser (633 nm) excitation. The scanning photocurrent measurements were conducted with the same Horiba LABHR confocal Raman system combined with the same electrical measurement system. The EL measurements were performed on a home-built confocal PL measurement system combining with the same electrical measurement system with a temperature control in Ar environment. Unless mentioned in the main text, all measurements were conducted at room temperature. The EL images were collected by a 50× objective (N.A. = 0.5) and captured by a liquid-nitrogen-cooled CCD camera (Princeton instruments PyLoN 400F). The spectra were taken by using an Acton 2300i spectrometer with 150 g/mm grating and liquid-nitrogen-cooled CCD.
Acknowledgments
We acknowledge the Nanoelectronics Research Facility (NRF) at UCLA for technical support. X.D. acknowledges support by ONR Young Investigator Award N00014-12-1-0745. Y.H. acknowledges support by the NIH Grant 1DP2OD007279.
Supporting Information Available
The AFM and Raman characterizations of synthetic WSe2 domain on 300 nm Si/SiO2 substrate and the analysis and peak fittings of the EL spectra. This material is available free of charge via the Internet at http://pubs.acs.org.
The authors declare no competing financial interest.
Funding Statement
National Institutes of Health, United States
Supplementary Material
References
- Xia F.; Mueller T.; Lin Y.-m.; Valdes-Garcia A.; Avouris P. Nat. Nanotechnol. 2009, 4, 839–843. [DOI] [PubMed] [Google Scholar]
- Mueller T.; Xia F.; Avouris P. Nat. Photonics. 2010, 4, 297–301. [Google Scholar]
- Liu Y.; Cheng R.; Liao L.; Zhou H.; Bai J.; Liu G.; Liu L.; Huang Y.; Duan X. Nat. Commun. 2011, 2, 579. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Sun D.; Aivazian G.; Jones A. M.; Ross J. S.; Yao W.; Cobden D.; Xu X. Nat. Nanotechnol. 2012, 7, 114–118. [DOI] [PubMed] [Google Scholar]
- Lopez-Sanchez O.; Lembke D.; Kayci M.; Radenovic A.; Kis A. Nat. Nanotechnol. 2013, 8, 497–501. [DOI] [PubMed] [Google Scholar]
- Yu W. J.; Liu Y.; Zhou H.; Yin A.; Li Z.; Huang Y.; Duan X. Nat. Nanotechnol. 2013, 8, 952–958. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Britnell L.; Ribeiro R.; Eckmann A.; Jalil R.; Belle B.; Mishchenko A.; Kim Y.-J.; Gorbachev R.; Georgiou T.; Morozov S. Science 2013, 340, 1311–1314. [DOI] [PubMed] [Google Scholar]
- Sun Z.; Hasan T.; Torrisi F.; Popa D.; Privitera G.; Wang F.; Bonaccorso F.; Basko D. M.; Ferrari A. C. ACS Nano 2010, 4, 803–810. [DOI] [PubMed] [Google Scholar]
- Bao Q.; Zhang H.; Wang B.; Ni Z.; Lim C. H. Y. X.; Wang Y.; Tang D. Y.; Loh K. P. Nat. Photonics. 2011, 5, 411–415. [Google Scholar]
- Bae S.; Kim H.; Lee Y.; Xu X.; Park J.-S.; Zheng Y.; Balakrishnan J.; Lei T.; Kim H. R.; Song Y. I. Nat. Nanotechnol. 2010, 5, 574–578. [DOI] [PubMed] [Google Scholar]
- Liu M.; Yin X.; Ulin-Avila E.; Geng B.; Zentgraf T.; Ju L.; Wang F.; Zhang X. Nature 2011, 474, 64–67. [DOI] [PubMed] [Google Scholar]
- Bonaccorso F.; Sun Z.; Hasan T.; Ferrari A. Nat. Photonics. 2010, 4, 611–622. [Google Scholar]
- Avouris P. Nano Lett. 2010, 10, 4285–4294. [DOI] [PubMed] [Google Scholar]
- Mak K. F.; Lee C.; Hone J.; Shan J.; Heinz T. F. Phys. Rev. Lett. 2010, 105, 136805. [DOI] [PubMed] [Google Scholar]
- Splendiani A.; Sun L.; Zhang Y.; Li T.; Kim J.; Chim C.-Y.; Galli G.; Wang F. Nano Lett. 2010, 10, 1271–1275. [DOI] [PubMed] [Google Scholar]
- Ramasubramaniam A. Phys. Rev. B 2012, 86, 115409. [Google Scholar]
- Cao T.; Wang G.; Han W.; Ye H.; Zhu C.; Shi J.; Niu Q.; Tan P.; Wang E.; Liu B. Nat. Commun. 2012, 3, 887. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Feng J.; Qian X.; Huang C.-W.; Li J. Nat. Photonics 2012, 6, 866–872. [Google Scholar]
- Mak K. F.; He K.; Shan J.; Heinz T. F. Nat. Nanotechnol. 2012, 7, 494–498. [DOI] [PubMed] [Google Scholar]
- Xiao D.; Liu G.-B.; Feng W.; Xu X.; Yao W. Phys. Rev. Lett. 2012, 108, 196802. [DOI] [PubMed] [Google Scholar]
- Zeng H.; Dai J.; Yao W.; Xiao D.; Cui X. Nat. Nanotechnol. 2012, 7, 490–493. [DOI] [PubMed] [Google Scholar]
- Jones A. M.; Yu H.; Ghimire N. J.; Wu S.; Aivazian G.; Ross J. S.; Zhao B.; Yan J.; Mandrus D. G.; Xiao D. Nat. Nanotechnol. 2013, 8, 634–638. [DOI] [PubMed] [Google Scholar]
- Wang Q. H.; Kalantar-Zadeh K.; Kis A.; Coleman J. N.; Strano M. S. Nat. Nanotechnol. 2012, 7, 699–712. [DOI] [PubMed] [Google Scholar]
- Chuang S.; Battaglia C.; Azcatl A.; McDonnell S.; Kang J. S.; Yin X.; Tosun M.; Kapadia R.; Fang H.; Wallace R. M.; Javey A. Nano Lett. 2014, 14, 1337–1342. [DOI] [PubMed] [Google Scholar]
- Sundaram R.; Engel M.; Lombardo A.; Krupke R.; Ferrari A.; Avouris P.; Steiner M. Nano Lett. 2013, 13, 1416–1421. [DOI] [PubMed] [Google Scholar]
- Ross J. S.; Klement P.; Jones A. M.; Ghimire N. J.; Yan J.; Mandrus D.; Taniguchi T.; Watanabe K.; Kitamura K.; Yao W. Nat. Nanotechnol. 2014, 9, 268–272. [DOI] [PubMed] [Google Scholar]
- Pospischil A.; Furchi M. M.; Mueller T. Nat. Nanotechnol. 2014, 9, 257–261. [DOI] [PubMed] [Google Scholar]
- Baugher B. W.; Churchill H. O.; Yang Y.; Jarillo-Herrero P. Nat. Nanotechnol. 2014, 9, 262–267. [DOI] [PubMed] [Google Scholar]
- Britnell L.; Gorbachev R.; Jalil R.; Belle B.; Schedin F.; Mishchenko A.; Georgiou T.; Katsnelson M.; Eaves L.; Morozov S. Science 2012, 335, 947–950. [DOI] [PubMed] [Google Scholar]
- Georgiou T.; Jalil R.; Belle B. D.; Britnell L.; Gorbachev R. V.; Morozov S. V.; Kim Y.-J.; Gholinia A.; Haigh S. J.; Makarovsky O. Nat. Nanotechnol. 2013, 8, 100–103. [DOI] [PubMed] [Google Scholar]
- Yang H.; Heo J.; Park S.; Song H. J.; Seo D. H.; Byun K.-E.; Kim P.; Yoo I.; Chung H.-J.; Kim K. Science 2012, 336, 1140–1143. [DOI] [PubMed] [Google Scholar]
- Yu W. J.; Li Z.; Zhou H.; Chen Y.; Wang Y.; Huang Y.; Duan X. Nat. Mater. 2013, 12, 246–252. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Chuang S.; Kapadia R.; Fang H.; Chang T. C.; Yen W.-C.; Chueh Y.-L.; Javey A. Appl. Phys. Lett. 2013, 102, 242101. [Google Scholar]
- Jariwala D.; Sangwan V. K.; Wu C.-C.; Prabhumirashi P. L.; Geier M. L.; Marks T. J.; Lauhon L. J.; Hersam M. C. Proc. Natl. Acad. Sci. U. S. A. 2013, 110, 18076–18080. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ye Y.; Ye Z.; Gharghi M.; Zhu H.; Zhao M.; Yin X.; Zhang X.. 2014, arXiv:1305.4235. arXiv.org e-Print archive. http://arxiv.org/abs/1305.4235 (accessed June 2014)
- Liu H.; Ye P. D. IEEE Electron Device Lett. 2012, 33, 546–548. [Google Scholar]
- Zhao W.; Ghorannevis Z.; Chu L.; Toh M.; Kloc C.; Tan P.-H.; Eda G. ACS Nano 2012, 7, 791–797. [DOI] [PubMed] [Google Scholar]
- Whitaker J. C.The electronics handbook; CRC Press: Boca Raton, FL, 1996. [Google Scholar]
- Sze S. M.; Ng K. K.. Physics of semiconductor devices; John Wiley & Sons: Hoboken, NJ, 2006. [Google Scholar]
- Beal A.; Knights J.; Liang W. J. Phys. C: Solid State Phys. 1972, 5, 3540. [Google Scholar]
- Bromley R.; Murray R.; Yoffe A. J. Phys. C: Solid State Phys. 1972, 5, 759. [Google Scholar]
- Wilson J.; Yoffe A. Adv. Phys. 1969, 18, 193–335. [Google Scholar]
- Tongay S.; Zhou J.; Ataca C.; Lo K.; Matthews T. S.; Li J.; Grossman J. C.; Wu J. Nano Lett. 2012, 12, 5576–5580. [DOI] [PubMed] [Google Scholar]
- Fang H.; Battaglia C.; Carraro C.; Nemsak S.; Ozdol B.; Kang J. S.; Bechtel H. A.; Desai S. B.; Kronast F.; Unal A. A.; Conti G.; Conlon C.; Palsson G. K.; Martin M. C.; Minor A. M.; Fadley C. S.; Yablonovitch E.; Maboudian R.; Javey A. Proc. Natl. Acad. Sci. U. S. A. 2014, 111, 6198–6202. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Rivera P.; Schaibley J. R.; Jones A. M.; Ross J. S.; Wu S.; Aivazian G.; Klement P.; Ghimire N. J.; Yan J.; Mandrus D. G.; Yao W.; Xu X.. 2014, arXiv:1403.4985. arXiv.org e-Print archive. http://arxiv.org/abs/1403.4985 (accessed June 2014).
- Furchi M. M.; Pospischil A.; Libisch F.; Burgdörfer J.; Mueller T.. 2014, arXiv:1403.2652. arXiv.org e-Print archive. http://arxiv.org/abs/1403.2652 (accessed June 2014).
- Lee C.-H.; Lee G.-H.; van der Zande A. M.; Chen W.; Li Y.; Han M.; Cui X.; Arefe G.; Nuckolls C.; Heinz T. F.; Guo J.; Hone J.; Kim P.. 2014, arXiv:1403.4985. arXiv.org e-Print archive. http://arxiv.org/abs/1305.4235 (accessed June 2014).
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