Numerical Simulations of Variable‐Range Hopping

Ortuño, M.; Estellés-Duart, Francisco; Somoza, A. M.

doi:10.1002/pssb.202100340

Cited by 3 publications

(1 citation statement)

References 61 publications

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“…In turn, hopping transport in ODSs belongs to a complex class of hopping called variable-range hopping (VRH) [ 31 , 32 , 33 ]. This means that, as shown in Figure 1 a, a carrier in an initial state i (with energy

and located at site

) may either jump to a near state j at

with different energy,

(thanks to phonon absorption), or may tunnel to a further state m with the same energy

[ 16 ].…”

Section: Introductionmentioning

confidence: 99%

Organic Disordered Semiconductors as Networks Embedded in Space and Energy

2022

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Organic disordered semiconductors have a growing importance because of their low cost, mechanical flexibility, and multiple applications in thermoelectric devices, biosensors, and optoelectronic devices. Carrier transport consists of variable-range hopping between localized quantum states, which are disordered in both space and energy within the Gaussian disorder model. In this paper, we model an organic disordered semiconductor system as a network embedded in both space and energy so that a node represents a localized state while a link encodes the probability (or, equivalently, the Miller–Abrahams hopping rate) for carriers to hop between nodes. The associated network Laplacian matrix allows for the study of carrier dynamics using edge-centric random walks, in which links are activated by the corresponding carrier hopping rates. Our simulation work suggests that at room temperature the network exhibits a strong propensity for small-network nature, a beneficial property that in network science is related to the ease of exchanging information, particles, or energy in many different systems. However, this is not the case at low temperature. Our analysis suggests that there could be a parallelism between the well-known dependence of carrier mobility on temperature and the potential emergence of the small-world property with increasing temperature.

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and located at site

) may either jump to a near state j at

with different energy,

(thanks to phonon absorption), or may tunnel to a further state m with the same energy

[ 16 ].…”

Section: Introductionmentioning

confidence: 99%

Organic Disordered Semiconductors as Networks Embedded in Space and Energy

2022

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Connecting continuous models of quantum systems to complex networks: Application to electron transport in real-world one dimensional van der Waals materials

Cuadra,

Nieto-Borge

2024

Chaos, Solitons & Fractals

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Low-temperature electrical conductivity of composite film formed by carbon nanotubes with MoS2 flakes

Karachevtsev

Kurnosov

Plokhotnichenko

2022

Low Temperature Physics

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Multifunctional composite nanosystems containing both one-dimensional and two-dimensional nanostructures possess improved electrical, mechanical, and thermal properties which offer a wide range of applications. In this work, the composite films formed by single-walled carbon nanotubes and MoS2 flakes (MoS2-SWNTs) are studied exploiting Raman spectroscopy, scanning electron microscopy, and low-temperature conductivity measurements (5–312 K). The MoS2-SWNTs and SWNTs films demonstrate the semiconductor behavior with negative temperature coefficient of resistance. The temperature dependence of the composite film resistance in the range of 5–204 K is considered whithin the framework of Mott model that describes the motion of electrons with variable range hopping due to thermally activated tunneling (3D Mott VRH model). At T > 204 K, the temperature dependence of composite film resistance was fitted by the Arrhenius-like equation. The empirical parameters included in two transport models were evaluated. The comparison between the composite and SWNTs films shows that the conductivity of the composite is mostly determined by nanotubes.

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Numerical Simulations of Variable‐Range Hopping

Cited by 3 publications

References 61 publications

Organic Disordered Semiconductors as Networks Embedded in Space and Energy

Organic Disordered Semiconductors as Networks Embedded in Space and Energy

Connecting continuous models of quantum systems to complex networks: Application to electron transport in real-world one dimensional van der Waals materials

Low-temperature electrical conductivity of composite film formed by carbon nanotubes with MoS2 flakes

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