Analytical theory and possible detection of the ac quantum spin Hall effect

Deng, W. Y.; Ren, Y. J.; Lin, Z. X.; Shen, R.; Sheng, L.; Sheng, D. N.; Xing, D. Y.

doi:10.1038/s41598-017-05452-4

Title: Analytical theory and possible detection of the ac quantum spin Hall effect

Journal Article · Tue Jul 11 00:00:00 EDT 2017 · Scientific Reports

DOI:https://doi.org/10.1038/s41598-017-05452-4· OSTI ID:1430125

Deng, W. Y. ^[1]; Ren, Y. J. ^[2]; Lin, Z. X. ^[2]; Shen, R. ^[2]; Sheng, L. ^[3]; Sheng, D. N. ^[4]; Xing, D. Y. ^[3]

Nanjing Univ. of Technology (China). National Lab. of Solid State Microstructures and Dept. of Physics; South China Univ. of Technology (SCUT), Guangzhou (China). Dept. of Physics
Nanjing Univ. of Technology (China). National Lab. of Solid State Microstructures and Dept. of Physics
Nanjing Univ. of Technology (China). National Lab. of Solid State Microstructures and Dept. of Physics and Collaborative Innovation Center of Advanced Microstructures
California State Univ., Northridge, CA (United States). Dept. of Physics and Astronomy

Here, 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.

View Accepted Manuscript (DOE)

Cite

Export

Save

Research Organization:: California State University, Northridge (CSUN), CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES); National Basic Research Program of China; National Natural Science Foundation of China (NSFC); Jiangsu Higher Education Inst. (PAPD)

Grant/Contract Number:: FG02-06ER46305; 2015CB921202; 2014CB921103; 11674160; 11474149; BX201700082

OSTI ID:: 1430125

Journal Information:: Scientific Reports, Vol. 7, Issue 1; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

References (40)

Quantum spin Hall effect in inverted InAs/GaSb quantum wells Knez, Ivan; Du, Rui-Rui Frontiers of Physics, Vol. 7, Issue 2 https://doi.org/10.1007/s11467-011-0204-1	journal	September 2011
Quantum Spin Hall Effect Bernevig, B. Andrei; Zhang, Shou-Cheng arXiv https://doi.org/10.48550/arxiv.cond-mat/0504147	text	January 2005
Topological insulators and superconductors Qi, Xiao-Liang; Zhang, Shou-Cheng Reviews of Modern Physics, Vol. 83, Issue 4 https://doi.org/10.1103/RevModPhys.83.1057	journal	October 2011
Connection of Edge States to Bulk Topological Invariance in a Quantum Spin Hall State Li, Huichao; Sheng, L.; Xing, D. Y. Physical Review Letters, Vol. 108, Issue 19 https://doi.org/10.1103/physrevlett.108.196806	journal	May 2012
Spin Backflow and ac Voltage Generation by Spin Pumping and the Inverse Spin Hall Effect Jiao, HuJun; Bauer, Gerrit E. W. Physical Review Letters, Vol. 110, Issue 21 https://doi.org/10.1103/PhysRevLett.110.217602	journal	May 2013
Current partition in multiprobe conductors in the presence of slowly oscillating external potentials B�ttiker, M.; Thomas, H.; Pr�tre, A. Zeitschrift f�r Physik B Condensed Matter, Vol. 94, Issue 1-2 https://doi.org/10.1007/bf01307664	journal	March 1994
Quantum Spin Hall Insulator State in HgTe Quantum Wells Konig, M.; Wiedmann, S.; Brune, C. Science, Vol. 318, Issue 5851, p. 766-770 https://doi.org/10.1126/science.1148047	journal	November 2007
Not trivial to realize Moore, Joel E. Nature Physics, Vol. 11, Issue 11 https://doi.org/10.1038/nphys3554	journal	November 2015
Analytical approach to the Camley-Barnaś theory for giant magnetoresistance in magnetic layered structures Liu, M.; Xing, D. Y. Physical Review B, Vol. 47, Issue 18 https://doi.org/10.1103/PhysRevB.47.12272	journal	May 1993
Non-adiabatic topological spin pumping Deng, W. Y.; Luo, W.; Geng, H. New Journal of Physics, Vol. 17, Issue 10 https://doi.org/10.1088/1367-2630/17/10/103018	journal	October 2015
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells Bernevig, B. A.; Hughes, T. L.; Zhang, S.-C. Science, Vol. 314, Issue 5806, p. 1757-1761 https://doi.org/10.1126/science.1133734	journal	December 2006
It has been a Weyl coming Bernevig, B. Andrei arXiv https://doi.org/10.48550/arxiv.1508.04170	text	January 2015
Stabilization of the Quantum Spin Hall Effect by Designed Removal of Time-Reversal Symmetry of Edge States Li, Huichao; Sheng, L.; Shen, R. Physical Review Letters, Vol. 110, Issue 26 https://doi.org/10.1103/physrevlett.110.266802	journal	June 2013
Quantum Spin Hall Effect and Topologically Invariant Chern Numbers Sheng, D. N.; Weng, Z. Y.; Sheng, L. arXiv https://doi.org/10.48550/arxiv.cond-mat/0603054	text	January 2006
Quantum anomalous Hall effect and related topological electronic states Weng, Hongming; Yu, Rui; Hu, Xiao Advances in Physics, Vol. 64, Issue 3 https://doi.org/10.1080/00018732.2015.1068524	journal	May 2015
Spin Chern pumping from the bulk of two-dimensional topological insulators Chen, M. N.; Sheng, L.; Shen, R. Physical Review B, Vol. 91, Issue 12 https://doi.org/10.1103/PhysRevB.91.125117	journal	March 2015
Robustness of the spin-Chern number Prodan, Emil Physical Review B, Vol. 80, Issue 12 https://doi.org/10.1103/PhysRevB.80.125327	journal	September 2009
Chern number of thin films of the topological insulator ${Bi}_{2} {Se}_{3}$ Li, Huichao; Sheng, L.; Sheng, D. N. Physical Review B, Vol. 82, Issue 16 https://doi.org/10.1103/PhysRevB.82.165104	journal	October 2010
Spin Hall Effect in the Presence of Spin Diffusion Zhang, Shufeng Physical Review Letters, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevLett.85.393	journal	July 2000
$Z_{2}$ Topological Order and the Quantum Spin Hall Effect Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 14, Article No. 146802 https://doi.org/10.1103/physrevlett.95.146802	journal	September 2005
Topological insulators in Bi₂Se₃, Bi₂Te₃ and Sb₂Te₃ with a single Dirac cone on the surface Zhang, Haijun; Liu, Chao-Xing; Qi, Xiao-Liang Nature Physics, Vol. 5, Issue 6, p. 438-442 https://doi.org/10.1038/nphys1270	journal	May 2009
Time-Reversal-Symmetry-Broken Quantum Spin Hall Effect Yang, Yunyou; Xu, Zhong; Sheng, L. Physical Review Letters, Vol. 107, Issue 6 https://doi.org/10.1103/PhysRevLett.107.066602	journal	August 2011
Topological phases in two-dimensional materials: a review Ren, Yafei; Qiao, Zhenhua; Niu, Qian Reports on Progress in Physics, Vol. 79, Issue 6 https://doi.org/10.1088/0034-4885/79/6/066501	journal	May 2016
Quantum Spin Hall Effect in Graphene Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 95, Issue 22 https://doi.org/10.1103/PhysRevLett.95.226801	journal	November 2005
Colloquium: Topological insulators Hasan, M. Z.; Kane, C. L. Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067 https://doi.org/10.1103/RevModPhys.82.3045	journal	November 2010
Quantum Spin Hall Effect in Inverted Type II Semiconductors Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang arXiv https://doi.org/10.48550/arxiv.0801.2831	text	January 2008
Quantum Spin Hall Effect in Inverted Type-II Semiconductors Liu, Chaoxing; Hughes, Taylor L.; Qi, Xiao-Liang Physical Review Letters, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevLett.100.236601	journal	June 2008
It's been a Weyl coming Bernevig, B. Andrei Nature Physics, Vol. 11, Issue 9 https://doi.org/10.1038/nphys3454	journal	August 2015
Topological Insulator Materials Ando, Yoichi Journal of the Physical Society of Japan, Vol. 82, Issue 10, Article No. 102001 https://doi.org/10.7566/JPSJ.82.102001	journal	October 2013
Topological Insulators in Three Dimensions Fu, Liang; Kane, C. L.; Mele, E. J. Physical Review Letters, Vol. 98, Issue 10, Article No. 106803 https://doi.org/10.1103/PhysRevLett.98.106803	journal	March 2007
The quantum spin Hall effect and topological insulators Qi, Xiao-Liang; Zhang, Shou-Cheng Physics Today, Vol. 63, Issue 1, p. 33-38 https://doi.org/10.1063/1.3293411	journal	January 2010
Helical Liquid and the Edge of Quantum Spin Hall Systems Wu, Congjun; Bernevig, B. Andrei; Zhang, Shou-Cheng Physical Review Letters, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevLett.96.106401	journal	March 2006
Quantum Spin Hall Effect Bernevig, B. Andrei; Zhang, Shou-Cheng Physical Review Letters, Vol. 96, Issue 10 https://doi.org/10.1103/PhysRevLett.96.106802	journal	March 2006
Theory of giant magnetoresistance effects in magnetic layered structures with antiferromagnetic coupling Camley, R. E.; Barnaś, J. Physical Review Letters, Vol. 63, Issue 6 https://doi.org/10.1103/physrevlett.63.664	journal	August 1989
Quantum Spin Hall Effect in Graphene Kane, C. L.; Mele, E. J. arXiv https://doi.org/10.48550/arxiv.cond-mat/0411737	text	January 2004
Topological invariants of time-reversal-invariant band structures Moore, J. E.; Balents, L. Physical Review B, Vol. 75, Issue 12, Article No. 121306(R) https://doi.org/10.1103/PhysRevB.75.121306	journal	March 2007
Quantum Spin-Hall Effect and Topologically Invariant Chern Numbers Sheng, D. N.; Weng, Z. Y.; Sheng, L. Physical Review Letters, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevLett.97.036808	journal	July 2006
Time-reversal-symmetry-broken quantum spin Hall effect Yang, Yunyou; Xu, Zhong; Sheng, L. arXiv https://doi.org/10.48550/arxiv.1103.4473	text	January 2011
Scattering approach to parametric pumping Brouwer, P. W. Physical Review B, Vol. 58, Issue 16 https://doi.org/10.1103/PhysRevB.58.R10135	journal	October 1998
Spin Hall voltages from a.c. and d.c. spin currents Wei, Dahai; Obstbaum, Martin; Ribow, Mirko Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms4768	journal	April 2014

Similar Records

Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model

Journal Article · Wed Sep 10 00:00:00 EDT 2014 · Scientific Reports · OSTI ID:1430125

Gong, Shou-Shu; Zhu, Wei; Sheng, D. N.

Magnonic Floquet Hofstadter butterfly

Journal Article · Sat Dec 15 00:00:00 EST 2018 · Annals of Physics · OSTI ID:1430125

Fractional charge and quantized current in the quantum spin Hall state

Journal Article · Tue Mar 02 00:00:00 EST 2010 · Nature Physics · OSTI ID:1430125

Qi, X -L

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
36 MATERIALS SCIENCE
spintronics
topological insulators

Title: Analytical theory and possible detection of the ac quantum spin Hall effect

Citation Formats

References (40)

Similar Records

Related Subjects