Hall effect in two-dimensional systems with hopping transport and strong disorder

A. V. Shumilin and N. P. Stepina
Phys. Rev. B 98, 115303 – Published 13 September 2018

Abstract

We reconsider the theory of Hall effect in the systems with hopping conduction. The purpose of this study is to compare the percolation approach based on the optimal triad model with numerical simulations and recent experimental results. We show that, in the nearest-neighbor hopping regime, the results of the percolation theory agree to the simulation. However, in the variable range hopping (VRH) regime, the optimal triad model fails to describe the numerical results. It is related to the extremely small probability to find the optimal triad of sites in the percolation cluster in the VRH regime. The contribution of these triads to the Hall effect appears to be small. We describe the Hall mobility in the VRH regime with the empirical law obtained from the numerical results. The law is in agreement with our recent experimental data in two-dimensional quantum dot arrays with the hopping transport.

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  • Received 4 June 2018

DOI:https://doi.org/10.1103/PhysRevB.98.115303

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

A. V. Shumilin1 and N. P. Stepina2

  • 1Ioffe Institute, 194021 St.-Petersburg, Russia
  • 2Institute of Semiconductor Physics, Siberian Branch of the Russian Academy of Sciences, 630090 Novosibirsk, Russia

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Issue

Vol. 98, Iss. 11 — 15 September 2018

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