Semiclassical approach to bound states of a pointlike impurity in a two-dimensional Dirac systemopen access
- Authors
- Kim, Kun Woo; Pereg-Barnea, Tami; Refael, Gil
- Issue Date
- Feb-2014
- Publisher
- AMER PHYSICAL SOC
- Citation
- Physical Review B - Condensed Matter and Materials Physics, v.89, no.8
- Journal Title
- Physical Review B - Condensed Matter and Materials Physics
- Volume
- 89
- Number
- 8
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/62300
- DOI
- 10.1103/PhysRevB.89.085117
- ISSN
- 1098-0121
1550-235X
- 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. © 2014 American Physical Society.
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- Appears in
Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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