Coulomb disorder in threedimensional Dirac systems
Abstract
In threedimensional materials with a Dirac spectrum, weak shortranged disorder is essentially irrelevant near the Dirac point. This is manifestly not the case for Coulomb disorder, where the longranged 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 threedimensional 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:
 AC0206CH11357
 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 threedimensional Dirac systems. United States: N. p., 2014.
Web. doi:10.1103/PhysRevB.90.060202.
Skinner, Brian. Coulomb disorder in threedimensional Dirac systems. United States. doi:10.1103/PhysRevB.90.060202.
Skinner, Brian. Fri .
"Coulomb disorder in threedimensional Dirac systems". United States.
doi:10.1103/PhysRevB.90.060202.
@article{osti_1396280,
title = {Coulomb disorder in threedimensional Dirac systems},
author = {Skinner, Brian},
abstractNote = {In threedimensional materials with a Dirac spectrum, weak shortranged disorder is essentially irrelevant near the Dirac point. This is manifestly not the case for Coulomb disorder, where the longranged 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 threedimensional 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}
}

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