Finite size effects on the quantum spin Hall state

Yuichi Ohyama; Hiroki Tsuchiura; Akimasa Sakuma

doi:10.1088/1742-6596/266/1/012103

Finite size effects on the quantum spin Hall state

Yuichi Ohyama, Hiroki Tsuchiura, Akimasa Sakuma

ENG - Applied Physics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We theoretically study the helical edge states in the quantum spin Hall (QSH) effect based on an effective 4-band tight-binding model for HgTe/CdTe quantum wells. We microscopically describe the spatial dependence of the helical edge modes in the QSH state. It is found that the helical edge states are gapped when the width of sample narrows. This is because the edge states on the opposite boundary of the sample overlap each other, and then the backward scattering channel opens up.

Original language	English
Article number	012103
Journal	Journal of Physics: Conference Series
Volume	266
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/266/1/012103
Publication status	Published - 2011

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1088/1742-6596/266/1/012103

Cite this

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title = "Finite size effects on the quantum spin Hall state",

abstract = "We theoretically study the helical edge states in the quantum spin Hall (QSH) effect based on an effective 4-band tight-binding model for HgTe/CdTe quantum wells. We microscopically describe the spatial dependence of the helical edge modes in the QSH state. It is found that the helical edge states are gapped when the width of sample narrows. This is because the edge states on the opposite boundary of the sample overlap each other, and then the backward scattering channel opens up.",

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AU - Ohyama, Yuichi

AU - Tsuchiura, Hiroki

AU - Sakuma, Akimasa

PY - 2011

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N2 - We theoretically study the helical edge states in the quantum spin Hall (QSH) effect based on an effective 4-band tight-binding model for HgTe/CdTe quantum wells. We microscopically describe the spatial dependence of the helical edge modes in the QSH state. It is found that the helical edge states are gapped when the width of sample narrows. This is because the edge states on the opposite boundary of the sample overlap each other, and then the backward scattering channel opens up.

AB - We theoretically study the helical edge states in the quantum spin Hall (QSH) effect based on an effective 4-band tight-binding model for HgTe/CdTe quantum wells. We microscopically describe the spatial dependence of the helical edge modes in the QSH state. It is found that the helical edge states are gapped when the width of sample narrows. This is because the edge states on the opposite boundary of the sample overlap each other, and then the backward scattering channel opens up.

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DO - 10.1088/1742-6596/266/1/012103

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JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

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ER -

Finite size effects on the quantum spin Hall state

Abstract

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