English

Anomalous screening in two-dimensional materials with an extremum ring in the dispersion law

Mesoscale and Nanoscale Physics 2017-01-02 v2

Abstract

A variety of two-dimensional materials possess a band structure with an energy extremal ridge along a ring in momentum space. Examples are biased bilayer graphene, and surfaces and interfaces with a Rashba spin-orbit interaction where at low doping the carriers fill an annulus. This topological feature causes an anomalous screening behavior, which we study using the Thomas-Fermi theory. Specifically, reducing the doping is predicted to enhance the linear screening response, while at zero doping the size of the screening cloud surrounding a Coulomb impurity is found to increase as the cube root of the impurity charge.

Keywords

Cite

@article{arxiv.1607.01667,
  title  = {Anomalous screening in two-dimensional materials with an extremum ring in the dispersion law},
  author = {Eugene B. Kolomeisky and Joseph P. Straley},
  journal= {arXiv preprint arXiv:1607.01667},
  year   = {2017}
}

Comments

4+ pages, 1 figure, minor changes, version to be published in Phys. Rev. B