Analytical theory and possible detection of the ac quantum spin Hall effect
Abstract We develop an analytical theory of the low-frequency ac quantum spin Hall (QSH) effect based upon the scattering matrix formalism. It is shown that the ac QSH effect can be interpreted as a bulk quantum pumping effect. When the electron spin is conserved, the integer-quantized ac spin Hall...
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Nature Portfolio
2017
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oai:doaj.org-article:c1b5c66e073847bb91c7e8400654ed8f2021-12-02T15:06:26ZAnalytical theory and possible detection of the ac quantum spin Hall effect10.1038/s41598-017-05452-42045-2322https://doaj.org/article/c1b5c66e073847bb91c7e8400654ed8f2017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-05452-4https://doaj.org/toc/2045-2322Abstract We develop an analytical theory of the low-frequency ac quantum spin Hall (QSH) effect based upon the scattering matrix formalism. It is shown that the ac QSH effect can be interpreted as a bulk quantum pumping effect. When the electron spin is conserved, the integer-quantized ac spin Hall conductivity can be linked to the winding numbers of the reflection matrices in the electrodes, which also equal to the bulk spin Chern numbers of the QSH material. Furthermore, a possible experimental scheme by using ferromagnetic metals as electrodes is proposed to detect the topological ac spin current by electrical means.W. Y. DengY. J. RenZ. X. LinR. ShenL. ShengD. N. ShengD. Y. XingNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-8 (2017) |
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Medicine R Science Q |
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Medicine R Science Q W. Y. Deng Y. J. Ren Z. X. Lin R. Shen L. Sheng D. N. Sheng D. Y. Xing Analytical theory and possible detection of the ac quantum spin Hall effect |
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Abstract We develop an analytical theory of the low-frequency ac quantum spin Hall (QSH) effect based upon the scattering matrix formalism. It is shown that the ac QSH effect can be interpreted as a bulk quantum pumping effect. When the electron spin is conserved, the integer-quantized ac spin Hall conductivity can be linked to the winding numbers of the reflection matrices in the electrodes, which also equal to the bulk spin Chern numbers of the QSH material. Furthermore, a possible experimental scheme by using ferromagnetic metals as electrodes is proposed to detect the topological ac spin current by electrical means. |
format |
article |
author |
W. Y. Deng Y. J. Ren Z. X. Lin R. Shen L. Sheng D. N. Sheng D. Y. Xing |
author_facet |
W. Y. Deng Y. J. Ren Z. X. Lin R. Shen L. Sheng D. N. Sheng D. Y. Xing |
author_sort |
W. Y. Deng |
title |
Analytical theory and possible detection of the ac quantum spin Hall effect |
title_short |
Analytical theory and possible detection of the ac quantum spin Hall effect |
title_full |
Analytical theory and possible detection of the ac quantum spin Hall effect |
title_fullStr |
Analytical theory and possible detection of the ac quantum spin Hall effect |
title_full_unstemmed |
Analytical theory and possible detection of the ac quantum spin Hall effect |
title_sort |
analytical theory and possible detection of the ac quantum spin hall effect |
publisher |
Nature Portfolio |
publishDate |
2017 |
url |
https://doaj.org/article/c1b5c66e073847bb91c7e8400654ed8f |
work_keys_str_mv |
AT wydeng analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect AT yjren analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect AT zxlin analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect AT rshen analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect AT lsheng analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect AT dnsheng analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect AT dyxing analyticaltheoryandpossibledetectionoftheacquantumspinhalleffect |
_version_ |
1718388477509238784 |