Abstract
One hundred years after its first successful synthesis in the bulk form in 1914, black phosphorus (black P) was recently rediscovered from the perspective of a 2D layered material, attracting tremendous interest from condensed matter physicists, chemists, semiconductor device engineers, and material scientists. Similar to graphite and transition metal dichalcogenides (TMDs), black P has a layered structure but with a unique puckered single-layer geometry. Because the direct electronic band gap of thin film black P can be varied from 0.3 eV to around 2 eV, depending on its film thickness, and because of its high carrier mobility and anisotropic in-plane properties, black P is promising for novel applications in nanoelectronics and nanophotonics different from graphene and TMDs. Black P as a nanomaterial has already attracted much attention from researchers within the past year. Here, we offer our opinions on this emerging material with the goal of motivating and inspiring fellow researchers in the 2D materials community and the broad readership of PNAS to discuss and contribute to this exciting new field. We also give our perspectives on future 2D and thin film black P research directions, aiming to assist researchers coming from a variety of disciplines who are desirous of working in this exciting research field.
Keywords: black phosphorus, nanoelectronic, optoelectronic, anisotropic, 2D material
At the beginning of 2014, a few research teams including the ones led by the authors reintroduced black phosphorus (black P) from the perspective of a layered thin film material (1–6), in which previously unidentified properties and applications have arisen. Since then, black P, the most stable allotrope of the phosphorus element, is emerging as a promising semiconductor with a moderate band gap for nanoelectronics and nanophotonics applications (7, 8). Its single- and few-atomic layer forms can be isolated by techniques such as micromechanical exfoliation, giving rise to a type of 2D material with many unique properties not found in other members of the 2D materials family. Here, we present our perspectives on this latest addition to the 2D materials family, which can bridge the energy gap between that of graphene and transition metal dichalcogenides (TMDs), such as molybdenum disulfide (MoS2), molybdenum diselenide (MoSe2), tungsten disulfide (WS2), and tungsten diselenide (WSe2). In addition, we also offer our viewpoint on using the in-plane anisotropy of black P to develop electronic, photonic, and thermoelectric devices.
Black P is a single-elemental layered crystalline material consisting of only phosphorus atoms (9). Unlike in group IV elemental layered materials, such as graphene, silicene, or germanene, each phosphorus atom has five outer shell electrons. Black P has three crystalline structures (10): orthorhombic, simple cubic, and rhombohedral. Semiconducting puckered orthorhombic black P is of interest here and it belongs to the point group (Fig. 1 A and B), which has reduced symmetry compared with its group IV counterparts (such as graphene) having the point group symmetry. The single-layer black P includes two atomic layers and two kinds of P–P bonds. The shorter bond length of 0.2224 nm connects the nearest P atoms in the same plane, and the longer bond length of 0.2244 nm connects P atoms between the top and bottom of a single layer. The top view of black P along the z direction shows a hexagonal structure with bond angles of 96.3° and 102.1° (11, 12).
Early work on black P can be dated back to the first decade of the last century. Bridgman (13) successfully obtained black P for the first time in 1914 by conversion from white phosphorus at a pressure of 1.2 GPa and an elevated temperature of 200 °C. Unlike the white form of the phosphorus allotrope, black P is stable at ordinary temperatures and pressures. Bridgman was awarded the Nobel Prize in 1946 for “the invention of an apparatus to produce extremely high pressures, as well as the discoveries he made therewith in the field of high pressure physics”. However, at that time, there was not much interest in the black P material itself. Furthermore, research on black P has been relatively silent for 100 y. There are only about 100 publications in the past 100 y on black P to our knowledge. Nevertheless, the research on black P has made steady progress in the decades that followed, including the study of its structural (14, 15), transport (16), optical, phonon (17, 18), and superconducting (19, 20) properties, as well as applications in battery electrodes (21–23). In 1953, Keyes (24) studied the electrical properties of black P. It is worth noting that a significant portion of the work in the 1970s and 1980s was performed by a few Japanese groups that made important progress in black P research, including key studies on its electrical (16, 25, 26) and optical properties (27–29), and the successful n-type doping of black P by tellurium (30).
These early studies of black P as a bulk material, however, did not receive much attention from the semiconductor research community at that time, likely due to the dominant role of silicon. Only since 2014, building on the study of graphene, few-layered hexagonal boron nitride (hBN), and TMDs in the last decade, has black P been rediscovered from the perspective of a 2D and thin film material. As a result, the recent surge of black P research since early 2014 has mainly focused on the material in its single-layer, few-layer, or thin film forms where new properties have arisen and novel applications may be developed. Within 1 y, more than 70 papers were published on black P thin film, both in theory and in experiment, covering topics from band structure (31–33); strain (5, 34–38); defects (39); intercalation (40); and structural varieties [blue phosphorus (41), phosphorus nanotubes (42), phosphorus nanoribbons (43–47), and stacked bilayer phosphorus (48)] to characterization methods (49–51); stability and passivation methods (52–55); novel physics properties (56, 57); and promising applications in electronics (1–4, 58–61), photonics (62–67), thermoelectrics (68, 69), and gas sensing (70) devices. In addition, hybrid structures between black P and other 2D materials were also studied for optoelectronics applications (45, 65) and its strong in-plane anisotropy brings new opportunities for inventing conceptually new electronic and photonic devices (6, 35, 71).
Recent theoretical studies have predicted that monolayer black P can have an extremely high hole mobility (10,000 cm2⋅V−1⋅s−1) (6). Besides the thickness of black P, strain is predicted to be an effective way for tuning the band gap of black P (5, 34–38). Rodin et al. (5) reported that a uniaxial compressive strain can switch black P from nearly a direct band gap semiconductor to an indirect band gap semiconductor, semimetal, or metal. The modification of the energy band structure can be even richer in a black P nanoribbon by controlling the edge to be zigzag or armchair, as well as controlling the functional groups at the edges (46). In addition, new physics, such as a negative Poisson’s ratio (56), and a quasi-flat edge band (72) were reported due to the anisotropic honeycomb lattice. Also a giant Stark effect was predicted in nonchiral phosphorene nanoribbons (73). The potential of the material for high-performance thermoelectric devices (69) and superior gas sensing (70) was also explored from a theoretical perspective. Those predictions indicate that black P is a promising candidate for many of these applications.
Bridging the Energy Gap
For many important applications in nanoelectronics and nanophotonics, the moderate band gap of black P (∼0.3 eV) in its thin film form (thickness >4 nm or eight layers) can bridge the energy gap between the zero bandgap of graphene (74, 75) and the relatively large band gap of many transition metal dichalcogenides (1.5–2.5 eV) (76–79) (Fig. 2A). The energy band structure of bulk black P obtained using angle-resolved photoemission spectroscopy (ARPES) is shown in Fig. 1C. Recent studies have experimentally demonstrated the strong optical conductivity of black P thin film in the 1- to 5-μm wavelength range, revealing black P as an appealing candidate for near and midinfrared optoelectronics as detectors, modulators, and potentially light generation devices like light-emitting diodes (LED) and lasers. Recently, detectors (64) and imaging (62) functions have been demonstrated using black P thin films. A more attractive feature of black P for optoelectronics applications is the wide tuning range of its band gap by varying the layer number (80) and with the application of strain (5). Several groups have theoretically predicted the quasi-particle band gap tunability in single- and few-layer black P, estimating that it can vary from 0.3 eV in bulk form to above 2.0 eV in its single-layer form (5, 26), as shown in Fig. 1D. This was further confirmed using infrared relative extinction spectra and scanning tunneling microscopy (STM) measurements. As shown in Fig. 3A, Xia et al. (2) observed the absorption peak at around 2,700 cm−1 (∼0.3 eV), which originated from the band gap of black P. In Fig. 3B, the dI/dV curve from STM characterization on black P measured by Liang et al. (81) indicates that the electronic band gap of single-layer black P is 2.05 eV. In addition, compressive and tensile strain can lead to a significant modification of the black P band structure especially in its single- and few-layer forms (34, 72). As a result, single-layer to thin film black P can cover a very broad energy spectrum and interact strongly with electromagnetic waves in the mid-infrared, near-infrared, and visible frequency range where many important applications in defense, medicine, and communication lie, such as night vision, thermal imaging, and optical communication networks.
Bridging the Gap in the Mobility/On–Off Ratio Spectrum
The transport properties of black P lie between that of graphene and most TMDs previously studied. Fig. 2B shows the “mobility/on–off ratio spectrum” where we have plotted the mobility of the material in relation to the on–off current ratio of transistors enabled by them. Despite the possible variations of the mobility at different device operational conditions, transistor devices based on different 2D materials in general fall into different zones in the mobility/on–off ratio spectrum as shown in Fig. 2B. Each region of this spectrum corresponds to some key application domains in nanoelectronics. Graphene is a 2D semimetal with very high mobility, but the on–off ratio of graphene transistors is often less than 10 due to its zero bandgap. On the other hand, many monolayer TMD materials have lately attracted much attention. Their carrier mobility is usually relatively low (mostly lower than 100 cm2⋅V−1⋅s−1) in these materials, but the on–off ratio of their transistors is very high, being easily above 108, and may reach 1010 in some cases. TMD materials are hence appealing for ultra-low-power nanoelectronics. The mobility/on–off ratio combination for black P falls into a region on the plot not easily covered by graphene or transition metal dichalcogenides such as MoS2. This is a region where the mobility of the material is in a range of a few hundred to over 1,000 cm2⋅V−1⋅s−1 and at the same time the on–off ratio of the device needs to be in the range of roughly around 103–105. Such properties of black P may be attractive for building gigahertz frequency thin film electronics. Li et al. (1) measured a Hall mobility of around 210 cm2⋅V−1⋅s−1 at room temperature and above 350 cm2⋅V−1⋅s−1 along a randomly chosen direction in an 8-nm-thick black P sample. Xia et al. (2) measured their Hall mobility along the x direction of a 15-nm-thick black P thin film above 600 cm2⋅V−1⋅s−1 at room temperature and above 1,000 cm2⋅V−1⋅s−1 below 120 K (Fig. 4B). Field-effect mobilities in a similar range were also reported by various groups (Fig. 4A) (1, 4, 55, 63–65). Along the x direction in bulk black P, the Hall mobility of holes exceeds 1,000 cm2⋅V−1⋅s−1 at 300 K and 55,000 cm2⋅V−1⋅s−1 at 30 K, respectively. The electron mobility along the x direction is also close to 1,000 cm2⋅V−1⋅s−1 at 300 K and is above 10,000 cm2⋅V−1⋅s−1 at 50 K (10). These features are critical for building transistors with high current and power gains that are the most important attributes for constructing high-frequency power amplifiers and high-speed logic circuits. In addition, transistors based on black P thin film showed excellent current saturation and an on–off current ratio above 105 (Fig. 4A) (1), both offering key advantages over graphene transistors for analog and digital electronics. Some detailed discussions on the electrical contact (59, 82) and effects of dielectric capping (60) have also been reported. Al2O3 overlayers were effectively used to protect black P devices for better stability and reliability, as well as to reduce the noise level of the transistors (53, 55). Recently, Wang et al. (58) demonstrated the operation of black P field-effect transistors (FETs) at gigahertz frequency for the first time (Fig. 4 C and D). The standard ground–signal–ground (GSG) pads were fabricated to realize the transition from a microwave coaxial cable to on-chip coplanar waveguide electrodes. The measurement result shows that the short-circuit current-gain cutoff frequency fT is 12 GHz and the maximum oscillation frequency fmax is 20 GHz in 300-nm channel length devices (Fig. 4D). Compared to the graphene transistors, these first-generation high-speed black P transistors already show the superior performance of black P for radio-frequency (RF) electronics in terms of voltage and power gain due to the good current saturation properties arising from the finite black P band gap. Therefore, black P is a promising candidate for future high-performance thin film electronics technology for operation in the multi-gigahertz frequency range and beyond.
In-Plane Anisotropy for Device Applications
Although black P may well offer promising advantages over graphene and TMDs in many traditional domains of nanoelectronics and nanophotonics, the most exciting application of black P may yet arise from its unique properties—the in-plane anisotropy (2, 6) that generates opportunities for designing conceptually new devices and applications. With its puckered orthorhombic structure of the D2h point group, the effective mass of carriers of black P along the zigzag direction is about 10 times larger than that along the armchair direction (16), which induces strong in-plane anisotropy in its electronic (6), optical (2, 6), and phonon properties (2). Such properties are shared by other lesser-known layered TMDs such as rhenium disulfide (ReS2) and rhenium diselenide (ReSe2), and together they may enable a new domain of electronics and photonics device research where the strong anisotropic properties of 2D materials can be used to invent new electronic and optoelectronic device applications. Here, we introduce two possible examples: (i) plasmonic devices with intrinsic anisotropy in their resonance properties and (ii) high-efficiency thermoelectrics using the orthogonality in the heat and electron transport directions.
Recently, Low et al. (83) reported theoretical work predicting the anisotropic plasmon resonance properties in black P atomic crystals, as shown in Fig. 5A. In graphene plasmonic devices with a disk geometry, the plasmon resonance frequency possesses only a scalar dependence on the momentum wave vector q defined by the size of the disks. In clear contrast, the collective electronic excitations in black P exhibit a strong in-plane anisotropy. The plasmon resonance in black P devices will have a vectorial dependence on the momentum. So simply by changing the linear polarization direction of the incident light, the plasmon resonance frequency of the structure can be continuously tuned (Fig. 5B). The tuning range will depend on the level of anisotropy in its x- and y-direction conductivities, the dielectric environment, and the specific pattern design. This gives plasmonic devices even with highly symmetrical geometry (such as disks) an additional tuning knob–the light polarization that is unavailable in conventional metal-based plasmonics and graphene plasmonic devices where the material properties are largely isotropic.
Thermoelectrics is another field where the anisotropic transport properties of nanomaterials may enable significant performance improvements. Thermoelectric devices rely on the Seebeck effect to convert heat flow into electrical energy. Such devices will have many applications in developing solid-state, passively powered portable electronic systems. The conversion efficiency is proportional to the ratio of a device’s electrical conductance to its thermal conductance, which is collectively quantified by the thermoelectric figure of merit (ZT). It is highly desirable to achieve high electrical and low thermal conductivities simultaneously, to maximize ZT. In a recently published paper (69), first-principles calculations revealed that monolayer black P exhibits spatially anisotropic electrical and thermal conductances. Because the prominent electronic transport direction (armchair) is orthogonal to the prominent heat transport direction (zigzag), the ratio of these conductances can be significantly enhanced (Fig. 5B). It is predicted that ZT in monolayer black P can reach 2.5, which will meet the requirements for commercial use, along its armchair direction at 500 K. ZT is also greater than 1 at room temperature with moderate doping (∼2 × 1012 cm−2). Hence, black P is a mechanically flexible material that can naturally allow high-efficiency heat energy conversion at room temperatures (∼300 K) without any complex engineering. Moreover, Lv et al. (84) also addressed the large thermoelectric power factors in black P under an optimal doping level. Zhang et al. (85) reported that the semiconducting armchair phosphorene nanoribbons are promising candidates for thermoelectric applications. These varieties of research opportunities offer extensive exploration space to experimentalists.
To study these fascinating properties and to achieve new applications based on its anisotropic structure, a reliable method to quickly and nondestructively identify the crystal orientation of a black P sample is urgently needed. IR spectroscopy was successfully used by the Yale/IBM team to identify the crystal orientation of black P samples, several tens of micrometers in size (2). The IR absorption along the armchair direction reaches a maximum due to the anisotropic absorption of black P, as shown in Fig. 3A. Raman spectroscopy is generally considered to be a fast and nondestructive method for materials characterization and is effective for flake sizes down to a few micrometers or even smaller. The three typical Raman modes in black P, with Ag1, B2g, and Ag2 symmetry, were reported to have different laser polarization dependences, which are strongly related to their crystal orientation (86). The spectroscopy feature in this unique confined and in-plane anisotropic structure itself is an interesting topic for exploring new physics in black P. Recently, Wang et al. (71) posted a study reporting the highly anisotropic and tightly bound excitons in black P, using polarization-resolved photoluminescence measurements. The exciton binding energy was extracted from the energy difference between the excitonic emission peak and the quasi-particle band gap, which is found to be as large as 0.9 ± 0.1 eV. These results indicate that the electron, phonon, exciton, and other many-body effects in black P are full of novelties and spectroscopy techniques are likely to play a critical role in future studies.
Large-Scale Synthesis and Materials Stability
The future success of black P in electronics and photonics applications will critically hinge upon the development of reliable large-scale synthesis methods. Synthesis of black P can be traced back to 100 y ago. In 1914 Bridgman (13) first reported a method to convert white P to black P at a moderate temperature of 200 °C and a high pressure of 1.2 GPa within 5–30 min, whereas recently Rissi et al. (87) reported that amorphous red P could be transformed into crystalline black P at 7.5 ± 0.5 GPa even at room temperature. By melting black P at a temperature of 900 °C and under a pressure of 1 GPa, black P single crystals larger than 5 × 5 × 10 mm3 can be achieved, as reported by Endo et al. (88). Alternative techniques without using high pressure have also been developed, such as the technique involving mercury as a catalyst, developed by Krebs et al. (89), the bismuth-flux–based method by Brown et al. (15), and the method based on a chemical transport reaction by Lange et al. (90) that can use a relatively simple setup while avoiding toxic catalysts or “dirty” flux methods (91, 92). However, to the best of our knowledge, all of the methods developed so far focused on the synthesis of bulk black P crystals but not on its thin film or 2D forms at a wafer scale. This is most likely due to the fact that few have ever considered black P from the perspective of a 2D material before the recent revival of interest in this material. In future research, more effort combining expertise in materials science and chemistry should be devoted to the development of a large-scale synthesis method for black P thin film or single- and few-layer nanosheets at the wafer scale where more application opportunities lie. It is also important to develop methods that can synthesize large-area single-crystal thin films in which the anisotropic properties of black P may be explored at larger scales.
Although bulk crystals of black P are stable under ambient conditions for at least a few months, black P in its single- and few-layer forms is found to be unstable in the presence of the moisture and oxygen in air (49). Samples of 10-nm thickness without proper protection can degrade in days whereas single-layer and few-layer samples may degrade within hours. Mark Hersam’s group at Northwestern University reported their detailed X-ray photoelectron spectroscopy (XPS), atomic force microscopy (AFM), and Fourier-transform infrared spectroscopy (FTIR) characterizations that elucidate the underlying degradation mechanisms of black P (53). XPS characterization shows that the POx peaks appeared after exposing black P to air for 1 d, and FTIR characterization has also observed the P–O stretching mode at around 880 cm−1 and a P = O stretching mode at around 1,200 cm−1, suggesting the formation of oxidized phosphorus species that lead to the degradation of the material. However, after being encapsulated by Al2O3 overlayers, the black P flakes are stable for at least several weeks in an ambient environment (Fig. 6A). Moreover, other teams have reported a faster degradation of black P in air (52, 54). Favron et al. (54) recently posted a study showing the photo-oxidation of black P exposed to laser light by in situ Raman and transmission electron spectroscopic characterization. The oxidation rate is predicted to depend exponentially on the square of the energy gap of the layer. At this point, developing effective protection methods to slow down and eliminate the degradation process is needed. Several recent experiments demonstrated the use of oxidized aluminum as a passivation layer to isolate the black P surface from the ambient (53, 93), which works effectively in reducing the degradation of a relatively thick sample (∼5 nm). Other techniques, such as poly(methyl methacrylate) (PMMA) coating (4), graphene, and hBN encapsulation (Fig. 6B) (94), have also been proposed for the same purpose with various levels of success. Overall, black P has good intrinsic thermal stability and the material is stable at high temperature if isolated from water and oxygen. Black P might not be as stable as other 2D materials, such as graphene and TMDs, in the presence of oxygen and water, but there are already breakthroughs in developing effective passivation methods to overcome this degradation issue. Learning from the commercial success of relatively unstable materials like organic semiconductors and the technological importance of many toxic and potentially unstable materials like mercury cadmium telluride (HgCdTe), we believe that the stability issue should not be viewed as a show stopper preventing further research on this material. It is most likely that good passivation and packaging technology can resolve this issue. In fact, passivation and packaging are essential even for many of the commercialized semiconductors, such as silicon and III–V materials, to allow better device reliability and performance. There are many such techniques used by the semiconductor industry that we can also apply to protect black P devices, and such studies can constitute an interesting and important direction for future research.
Future Directions
In summary, we have already seen some interesting, but sporadic, research activities since early 2014 demonstrating black P-based detectors, modulators, RF transistors, sensors, etc., but both the fundamental study and applications research on layered black P are still in their infancy with many unresolved issues and unexplored ideas. Here, we discuss a few topics for future research of black P that may be of interest to the research community in general. On the fundamental side, it will be very interesting to study the behavior of various types of polaritons and their dependence on the crystal orientation in single- and few-layer black P, such as plasmon and exciton polaritons. Advanced transport characterizations, such as angle-resolved quantum Hall effect in single- or few-layer black P, are important research topics for understanding the carrier dynamics of this material in the limit of 2D quantum confinement, subject to strong in-plane anisotropy. For nanoelectronics applications, thin film black P with thicknesses in the range of 4–10 nm may offer the best trade-off between mobility and on–off current ratio that is very attractive for developing high-speed flexible electronics systems that can operate in the multigigahertz frequency range and beyond. As a semiconductor with a respectable mobility and a moderate band gap, both analog and digital electronics can be constructed based on black P. With the availability of both p-type and n-type (doped in a controlled manner using tellurium) black P crystals, complementary metal–oxide–semiconductor (CMOS) circuit configurations may be realized using black P alone. For photonics application, black P is the most suitable for optoelectronic devices in the mid- and near-infrared spectrum ranges. By controlling the layer number and strain, black P can cover the infrared spectrum range that is of great interest for applications in medical imaging, night vision, and optical communication networks. It is also possible to alloy black P with arsenic to form black PxAs(1-x) (95). In this alloy, the composition of phosphorus and arsenic may be continuously varied from 0% to 100%, hence potentially tuning the band gap below 0.3 eV and toward 0.1 eV. Such alloys may have band gaps that can cover the spectral range from 5 μm to 12 μm wavelength where many applications of infrared optoelectronics lie, such as high-performance thermal imaging and chemical sensing. Furthermore, expertise in chemistry and biology is needed to access the biostability and biotoxicity of this phosphorus-based material. Their compatibility with various biological agents needs to be accessed for potential electrical and optical sensing applications in biomedical research. This material system also presents challenges and opportunities for chemists and biologists to work closely together with physicists and engineers in this highly multidisciplinary field to explore both the fundamentals and applications of this emerging material.
Acknowledgments
The authors thank Prof. David Tomanek for his effort in organizing the first conference solely focused on black phosphorus, Informal Phosphorene Symposium ’14. X.L., S.H., and M.S.D. acknowledge support from Grant NSF/DMR-1004147. H.W. acknowledges support from the Army Research Laboratory (W911NF-14-2-0113). F.X. acknowledges support from the Office of Naval Research (N00014-14-1-0565), the Air Force Office of Scientific Research (FA9550-14-1-0277), and the National Science Foundation (CRISP NSF MRSEC DMR-1119826).
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission. J.L. is a guest editor invited by the Editorial Board.
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