1. Analytical theory and possible detection of the ac quantum spin Hall effect
- Author
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W. Y. Deng, Y. J. Ren, Z. X. Lin, R. Shen, L. Sheng, D. N. Sheng, and D. Y. Xing
- Subjects
Science ,FOS: Physical sciences ,01 natural sciences ,Article ,010305 fluids & plasmas ,Hall conductivity ,Condensed Matter - Strongly Correlated Electrons ,Quantum spin Hall effect ,Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ,0103 physical sciences ,010306 general physics ,Spin (physics) ,Quantum ,Physics ,Multidisciplinary ,Condensed Matter - Mesoscale and Nanoscale Physics ,Strongly Correlated Electrons (cond-mat.str-el) ,Condensed matter physics ,Scattering ,Reflection (mathematics) ,Ferromagnetism ,Electrode ,Medicine ,Condensed Matter::Strongly Correlated Electrons - 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., Comment: 5 pages, 2 figures
- Published
- 2017
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