Anomalous screening in two-dimensional materials with an extremum ring in the dispersion law
arXiv:1607.01667 · doi:10.1103/PhysRevB.94.245150
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.
arXiv comment4+ pages, 1 figure, minor changes, version to be published in Phys. Rev. B
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