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. 2022 Dec 1;12(23):4279. doi: 10.3390/nano12234279
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
A Adjacency matrix of a graph G.
aij Element of the adjacency matrix A
D Node degree matrix: diag(k1,,kN). It is the diagonal matrix formed from the nodes degrees.
dE(i,j) Euclidean distance between any pair of nodes i and j in a network.
dij 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.
EF Fermi level.
εi Energy of state i.
εT Transport energy.
ηHT Hopping transport efficiency.
G Graph GG(N,L,W), where N is the set of nodes (card(N)=N), L is the set of links, and W is weighted adjacency matrix that emerges from our method to link formation.
γ0 Attempt-to-escape frequency.
Γij Miller–Abrahams hopping rate between states i and j.
|i Ket vector in the Hilbert space H. It corresponds to the electron wave function in nanostructure (≡ site ≡ node ≡ ket) i.
i| Bra vector in the dual space corresponding to the ket |i H
k Average node degree.
kBT Thermal energy.
ki Degree of a node i. It is the number of links connecting i to any other node.
Average path length of a network. It is the mean value of distances between any pair of nodes in the network.
L Set of links (edges) of a network (graph).
L Laplacian matrix of a graph G.
M Size of a graph G. It is the number of links in the set L.
μ Carrier hopping mobility.
μ0,LCC* Carrier hopping mobility at low temperature and low carrier concentration.
n Carrier concentration.
N Order of a graph G=(N,L). It is the number of nodes in set N, that is the cardinality of set N: N=Ncard(N).
N Set of nodes (or vertices) of a graph.
NS Site concentration.
pjk Probability for an electron to evolve between kets |j and |k in the time interval t.
p¯(t) Average return probability
P(k) Probability density function giving the probability that a randomly selected node has k links.
σ The energy scale of the Gaussian DOS.
W Weighted adjacency matrix.
ξloc Carrier localization length.