| ARP |
Average Return Probability. |
| CTQW |
Continuous-Time Quantum Walks. |
| DOS |
Density of States. |
| GDM |
Gaussian Disorder Model. |
| MA |
Miller–Abrahams. |
| NS |
Network Science. |
| ODS |
Organic Disordered Semiconductor |
| OFET |
Organic Field-Effect Transistors. |
| OLED |
Organic Light-Emitting Diodes. |
| OS |
Organic Semiconductors. |
| OTFT |
Organic Thin-Film Transistors. |
| QT |
Quantum Transport. |
| RGG |
Random Geometric Graph. |
| RN |
Random Network. |
| RW |
Random Walk. |
| SW |
Small-World. |
| SWP |
Small-World Propensity. |
| SN |
Spatial Networks. |
| TE |
Transport Energy. |
| VRH |
Variable-Range Hopping. |
|
Symbol |
Definition or Meaning |
|
Adjacency matrix of a graph . |
|
Element of the adjacency matrix
|
|
Node degree matrix: . It is the diagonal matrix formed from the nodes degrees. |
|
Euclidean distance between any pair of nodes i and j in a network. |
|
Distance between two nodes i and j. It is the length of the shortest path (geodesic path) between them, that is, the minimum number of links when going from one node to the other. |
|
Fermi level. |
|
Energy of state i. |
|
Transport energy. |
|
Hopping transport efficiency. |
|
Graph , where is the set of nodes (), is the set of links, and is weighted adjacency matrix that emerges from our method to link formation. |
|
Attempt-to-escape frequency. |
|
Miller–Abrahams hopping rate between states i and j. |
|
Ket vector in the Hilbert space . It corresponds to the electron wave function in nanostructure (≡ site ≡ node ≡ ket) i. |
|
Bra vector in the dual space corresponding to the ket
|
|
Average node degree. |
|
Thermal energy. |
|
Degree of a node i. It is the number of links connecting i to any other node. |
| ℓ |
Average path length of a network. It is the mean value of distances between any pair of nodes in the network. |
|
Set of links (edges) of a network (graph). |
|
Laplacian matrix of a graph . |
| M |
Size of a graph . It is the number of links in the set . |
|
Carrier hopping mobility. |
|
Carrier hopping mobility at low temperature and low carrier concentration. |
| n |
Carrier concentration. |
| N |
Order of a graph . It is the number of nodes in set , that is the cardinality of set : . |
|
Set of nodes (or vertices) of a graph. |
|
Site concentration. |
|
Probability for an electron to evolve between kets and in the time interval t. |
|
Average return probability |
|
Probability density function giving the probability that a randomly selected node has k links. |
|
The energy scale of the Gaussian DOS. |
|
Weighted adjacency matrix. |
|
Carrier localization length. |