2016
DOI: 10.1103/physrevb.94.195202
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Activated hopping transport in anisotropic systems at low temperatures

Abstract: Numerical calculations of anisotropic hopping transport based on the resistor network model are presented. Conductivity is shown to follow the stretched exponential dependence on temperature with exponents increasing from 1 4 to 1 as the wave functions become anisotropic and their localization length in the direction of charge transport decreases. For sufficiently strong anisotropy, this results in nearest-neighbor hopping at low temperatures due to the formation of a single conduction path, which adjusts in t… Show more

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Cited by 8 publications
(13 citation statements)
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“…Due to the lamellar nature of typical PEDOT:PSS morphologies, conductivities tend to be highly anisotropic, which can also be understood in a VRH framework. [103][104][105] As no reliable data are available regarding anisotropy in thermopower, this topic will not be discussed and we will focus on in-plane geometries. It should, moreover, be kept in mind that there exist large differences in formulations and associated morphologies of PEDOT:PSS and one can therefore not automatically generalize individual results to the whole material system.…”
Section: Pedot:pssmentioning
confidence: 99%
“…Due to the lamellar nature of typical PEDOT:PSS morphologies, conductivities tend to be highly anisotropic, which can also be understood in a VRH framework. [103][104][105] As no reliable data are available regarding anisotropy in thermopower, this topic will not be discussed and we will focus on in-plane geometries. It should, moreover, be kept in mind that there exist large differences in formulations and associated morphologies of PEDOT:PSS and one can therefore not automatically generalize individual results to the whole material system.…”
Section: Pedot:pssmentioning
confidence: 99%
“…3(c), then the electrons adjust their path further in the perpendicular direction to find a site to hop in that is closer in energy. 15 The average hopping length might be estimated from the length of individual current segments, which is 2.12l and 2.07l in Figs. 3(b) and (c), respectively.…”
Section: Resultsmentioning
confidence: 99%
“…10 The method to find conductivity σ and current densities I is described in Ref. 15. The system is assumed to be in a linear Ohmic regime.…”
Section: Modelmentioning
confidence: 99%
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“…In addition to the largely studied black phosphorus [6], a vast number of anisotropic 2D materials have been explored recently, including for instance group-IV monochalcogenide (e.g., GeS [7]), low-symmetry transition-metal dichalcogenides (e.g., ReS 2 [8]), low-symmetry metal chalcogenide(s) (e.g., GaTe [9]), and the most recently discovered group-IV−V compounds (e.g., GeAs [10,11], GeP [12]). Due to their ultrathin nature, the physical properties of anisotropic 2D materials are expected to be highly sensitive to inevitable structural defects and extrinsic charged impurities [13] as well as to many other factors, e.g., substrates, environment, and surface roughness [14]. In particular, it is reasonable to believe that these extrinsic elements will significantly alter the intrinsic electrical anisotropic conduction in these materials.…”
Section: Introductionmentioning
confidence: 99%