Nonperturbative expression for the transmission through a leaky chiral edge modeopen access
- Authors
- Kim, Kun Woo; Klich, Israel; Refael, Gil
- Issue Date
- Mar-2014
- Publisher
- AMER PHYSICAL SOC
- Citation
- Physical Review B - Condensed Matter and Materials Physics, v.89, no.10
- Journal Title
- Physical Review B - Condensed Matter and Materials Physics
- Volume
- 89
- Number
- 10
- URI
- https://scholarworks.bwise.kr/cau/handle/2019.sw.cau/62299
- DOI
- 10.1103/PhysRevB.89.104204
- ISSN
- 1098-0121
1550-235X
- Abstract
- Chiral edge modes of topological insulators and Hall states exhibit nontrivial behavior of conductance in the presence of impurities or additional channels. We present a simple formula for the conductance through a chiral edge mode coupled to a disordered bulk. For a given coupling matrix between the chiral mode and bulk modes, and a Green's function matrix of bulk modes in real space, the renormalized Green's function of the chiral mode is expressed in closed form as a ratio of determinants. We demonstrate the usage of the formula in two systems: (i) a 1d wire with random on-site impurity potentials for which we found that the disorder averaging is made simpler with the formula, and (ii) a quantum Hall fluid with impurities in the bulk for which the phase picked up by the chiral mode due to the scattering with the impurities can be conveniently estimated. © 2014 American Physical Society.
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Collections - College of Natural Sciences > Department of Physics > 1. Journal Articles
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