2014
DOI: 10.1103/physrevb.89.104204
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Nonperturbative expression for the transmission through a leaky chiral edge mode

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 th… Show more

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“…Recurrence relations for GFs were originally proposed in the series of works, 12,13 and subsequently successfully used for numerical calculations in a great variety of setups, see e. g. [14]. In recent years this method became very popular in the field of topological insulators as it allows for fast and efficient band structure calculations in systems with any kinds of elementary cells and arbitrary coupling mechanisms between them, see e. g. [15][16][17]. On the other hand, in many situations the recurrence relations can be solved analytically leading to compact and useful results for relevant physical quantities.…”
Section: Introductionmentioning
confidence: 99%
“…Recurrence relations for GFs were originally proposed in the series of works, 12,13 and subsequently successfully used for numerical calculations in a great variety of setups, see e. g. [14]. In recent years this method became very popular in the field of topological insulators as it allows for fast and efficient band structure calculations in systems with any kinds of elementary cells and arbitrary coupling mechanisms between them, see e. g. [15][16][17]. On the other hand, in many situations the recurrence relations can be solved analytically leading to compact and useful results for relevant physical quantities.…”
Section: Introductionmentioning
confidence: 99%