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

Abstract

We investigate the conductivity of charge carriers confined to a two-dimensional system with the non-parabolic dispersion $k^N$ with $N$ being an arbitrary natural number. A delta-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 non-parabolic and the adsorbed hydrocarbons might act as strong short-range scatterers.

Substantially revised version, as accepted to PRB: 8 pages, 3 figures

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Cited by in corpus (3)

• Friedel oscillations at the surfaces of rhombohedral $N$-layer graphene
• Theory of photoexcited and thermionic emission across a two-dimensional graphene-semiconductor Schottky junction
• High conductivity from cross-band electron pairing in flat-band systems