The topological system with a twisting edge band: position-dependent Hall resistance

The topological system with a twisting edge band: position-dependent Hall resistance

We study a \(\nu=1\) topological system with one twisting edge-state band and one normal edge-state band. For the twisting edge-state band, Fermi energy goes through the band three times, thus, having three edge states on one side of the sample; while the normal edge band contributes only one edge s...

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Veröffentlicht in:arXiv.org 2012-04
Hauptverfasser: Liu, Xuele, Qing-feng, Sun, Xie, X C
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Hall effect
Physics - Mesoscale and Nanoscale Physics
Topological insulators
Twisting
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description We study a \(\nu=1\) topological system with one twisting edge-state band and one normal edge-state band. For the twisting edge-state band, Fermi energy goes through the band three times, thus, having three edge states on one side of the sample; while the normal edge band contributes only one edge state on the other side of the sample. In such a system, we show that it consists of both topologically protected and unprotected edge states, and as a consequence, its Hall resistance depends on the location where the Hall measurement is done even for a translationally invariant system. This unique property is absent in a normal topological insulator.
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subjects Hall effect
Physics - Mesoscale and Nanoscale Physics
Topological insulators
Twisting
title The topological system with a twisting edge band: position-dependent Hall resistance
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