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Semiclassical approach to bound states of a pointlike impurity in a two-dimensional Dirac system

Kim, Kun Woo and Pereg-Barnea, Tami and Refael, Gil (2014) Semiclassical approach to bound states of a pointlike impurity in a two-dimensional Dirac system. Physical Review B, 89 (8). Art. No. 085117 . ISSN 1098-0121. http://resolver.caltech.edu/CaltechAUTHORS:20140402-092139665

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Abstract

The goal of this paper is to provide an intuitive and useful tool for analyzing the impurity-bound-state problem. We develop a semiclassical approach and apply it to an impurity in two-dimensional systems with parabolic or Dirac-like bands. Our method consists of reducing a higher-dimensional problem into a sum of one-dimensional ones using the two-dimensional Green's functions as a guide. We then analyze the one-dimensional effective systems in the spirit of the wave-function-matching method as in the standard one-dimensional quantum model. We demonstrate our method on two-dimensional models with parabolic and Dirac-like dispersion, with the later specifically relevant to topological insulators.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.89.085117 DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.89.085117PublisherArticle
http://arxiv.org/abs/1308.0590arXivDiscussion Paper
Alternate Title:Semiclassical approach to 2d impurity bound states in Dirac systems
Additional Information:© 2014 American Physical Society. Received 5 August 2013; revised manuscript received 5 January 2014; published 18 February 2014. K.W.K. and G.R. would like to acknowledge support from DARPA through FENA, as well as from the IQIM, an NSF center with the support of the Gordon and Betty Moore Foundation. T.P.B. would like to acknowledge support from NSERC and FQRNT.
Group:IQIM, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
DARPA FENAUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationUNSPECIFIED
NSERCUNSPECIFIED
FQRNT UNSPECIFIED
Classification Code:PACS: 71.55.Jv, 03.65.Ge, 03.65.Sq, 03.65.Vf
Record Number:CaltechAUTHORS:20140402-092139665
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20140402-092139665
Official Citation: Semiclassical approach to bound states of a pointlike impurity in a two-dimensional Dirac system Kun Woo Kim, Tami Pereg-Barnea, and Gil Refael Phys. Rev. B 89, 085117 (2014) – Published 18 February 2014
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:44598
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:02 Apr 2014 17:34
Last Modified:02 Apr 2014 17:34

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