Charge transport in two dimensions limited by strong short-range scatterers: Going beyond parabolic dispersion and Born approximation

Břetislav Šopík, Janik Kailasvuori, and Maxim Trushin
Phys. Rev. B 89, 165308 – Published 15 April 2014

Abstract

We investigate the conductivity of charge carriers confined to a two-dimensional system with the nonparabolic dispersion kN with N being an arbitrary natural number. A δ-shaped scattering potential is assumed as the major source of disorder. We employ the exact solution of the Lippmann-Schwinger equation to derive an analytical Boltzmann conductivity formula valid for an arbitrary scattering potential strength. The range of applicability of our analytical results is assessed by a numerical study based on the finite size Kubo formula. We find that for any N>1, the conductivity demonstrates a linear dependence on the carrier concentration in the limit of a strong scattering potential strength. This finding agrees with the conductivity measurements performed recently on chirally stacked multilayer graphene where the lowest two bands are nonparabolic and the adsorbed hydrocarbons might act as strong short-range scatterers.

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  • Received 23 January 2014

DOI:https://doi.org/10.1103/PhysRevB.89.165308

©2014 American Physical Society

Authors & Affiliations

Břetislav Šopík

  • Central European Institute of Technology, Masaryk University, Kamenice 735, 62500 Brno, Czech Republic

Janik Kailasvuori

  • International Institute of Physics, Universidade Federal do Rio Grande do Norte, 59078-400 Natal-RN, Brazil and Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden, Germany

Maxim Trushin

  • University of Konstanz, Fachbereich Physik, M703 D-78457 Konstanz, Germany

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Vol. 89, Iss. 16 — 15 April 2014

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