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Title: Coulomb disorder in three-dimensional Dirac systems

Abstract

In three-dimensional materials with a Dirac spectrum, weak short-ranged disorder is essentially irrelevant near the Dirac point. This is manifestly not the case for Coulomb disorder, where the long-ranged nature of the potential produced by charged impurities implies large fluctuations of the disorder potential even when impurities are sparse, and these fluctuations are screened by the formation of electron/hole puddles. In this paper I present a theory of such nonlinear screening of Coulomb disorder in three-dimensional Dirac systems, and I derive the typical magnitude of the disorder potential, the corresponding density of states, and the size and density of electron/hole puddles. The resulting conductivity is also discussed.

Authors:
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States)
Sponsoring Org.:
USDOE Office of Science - Office of Basic Energy Sciences - Materials Sciences and Engineering Division
OSTI Identifier:
1396280
DOE Contract Number:  
AC02-06CH11357
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. B, Condensed Matter and Materials Physics; Journal Volume: 90; Journal Issue: 6
Country of Publication:
United States
Language:
English

Citation Formats

Skinner, Brian. Coulomb disorder in three-dimensional Dirac systems. United States: N. p., 2014. Web. doi:10.1103/PhysRevB.90.060202.
Skinner, Brian. Coulomb disorder in three-dimensional Dirac systems. United States. doi:10.1103/PhysRevB.90.060202.
Skinner, Brian. Fri . "Coulomb disorder in three-dimensional Dirac systems". United States. doi:10.1103/PhysRevB.90.060202.
@article{osti_1396280,
title = {Coulomb disorder in three-dimensional Dirac systems},
author = {Skinner, Brian},
abstractNote = {In three-dimensional materials with a Dirac spectrum, weak short-ranged disorder is essentially irrelevant near the Dirac point. This is manifestly not the case for Coulomb disorder, where the long-ranged nature of the potential produced by charged impurities implies large fluctuations of the disorder potential even when impurities are sparse, and these fluctuations are screened by the formation of electron/hole puddles. In this paper I present a theory of such nonlinear screening of Coulomb disorder in three-dimensional Dirac systems, and I derive the typical magnitude of the disorder potential, the corresponding density of states, and the size and density of electron/hole puddles. The resulting conductivity is also discussed.},
doi = {10.1103/PhysRevB.90.060202},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 6,
volume = 90,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 2014},
month = {Fri Aug 01 00:00:00 EDT 2014}
}