Theory of the spin-Seebeck effect at a topological-insulator/ferromagnetic-insulator interface

Okuma, Nobuyuki; Masir, Massoud Ramezani; MacDonald, Allan H.

doi:10.1103/PhysRevB.95.165418

Theory of the spin-Seebeck effect at a topological-insulator/ferromagnetic-insulator interface

Journal Article · Thu Apr 13 00:00:00 EDT 2017 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.95.165418· OSTI ID:1389005

Okuma, Nobuyuki ^[1]; Masir, Massoud Ramezani ^[2]; MacDonald, Allan H. ^[2]

Univ. of Tokyo, Hongo (Japan)
Univ. of Texas, Austin, TX (United States)

The spin-Seebeck effect refers to voltage signals induced in metals by thermally driven spin currents in adjacent magnetic systems. We present a theory of the spin-Seebeck signal in the case where the conductor that supports the voltage signal is the topologically protected two-dimensional surface-state system at the interface between a ferromagnetic insulator (FI) and a topological insulator (TI). Our theory uses a Dirac model for the TI surface states and assumes Heisenberg exchange coupling between the TI quasiparticles and the FI magnetization. The spin-Seebeck voltage is induced by the TI surface states scattering off the nonequilibrium magnon population at the surface of the semi-infinite thermally driven FI. Our theory is readily generalized to spin-Seebeck voltages in any two-dimensional conductor that is exchange-coupled to the surface of a FI. Surface-state carrier-density-dependent signal strengths calculated using Bi₂Te₃ and yttrium iron garnet material parameters are consistent with recent experiments.

View Accepted Manuscript (DOE)

Research Organization:: Energy Frontier Research Centers (EFRC) (United States). Spins and Heat in Nanoscale Electronic Systems (SHINES)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0012670

OSTI ID:: 1389005

Alternate ID(s):: OSTI ID: 1351680

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 16 Vol. 95; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (30)

Thin Films of Magnetically Doped Topological Insulator with Carrier-Independent Long-Range Ferromagnetic Order Chang, Cui-Zu; Zhang, Jinsong; Liu, Minhao Advanced Materials, Vol. 25, Issue 7 https://doi.org/10.1002/adma.201203493	journal	January 2013
Manipulating Surface-Related Ferromagnetism in Modulation-Doped Topological Insulators Kou, Xufeng; He, Liang; Lang, Murong Nano Letters, Vol. 13, Issue 10 https://doi.org/10.1021/nl4020638	journal	September 2013
Observation of the spin Seebeck effect Uchida, K.; Takahashi, S.; Harii, K. Nature, Vol. 455, Issue 7214 https://doi.org/10.1038/nature07321	journal	October 2008
A tunable topological insulator in the spin helical Dirac transport regime Hsieh, D.; Xia, Y.; Qian, D. Nature, Vol. 460, Issue 7259 https://doi.org/10.1038/nature08234	journal	July 2009
Enhanced spin Seebeck effect signal due to spin-momentum locked topological surface states Jiang, Zilong; Chang, Cui-Zu; Masir, Massoud Ramezani Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11458	journal	May 2016
Band structure engineering in (Bi1−xSbx)2Te3 ternary topological insulators Zhang, Jinsong; Chang, Cui-Zu; Zhang, Zuocheng Nature Communications, Vol. 2, Issue 1 https://doi.org/10.1038/ncomms1588	journal	September 2011
Spin Seebeck insulator Uchida, K.; Xiao, J.; Adachi, H. Nature Materials, Vol. 9, Issue 11 https://doi.org/10.1038/nmat2856	journal	September 2010
Spin caloritronics Bauer, Gerrit E. W.; Saitoh, Eiji; van Wees, Bart J. Nature Materials, Vol. 11, Issue 5 https://doi.org/10.1038/nmat3301	journal	April 2012
Magnetization switching through giant spin–orbit torque in a magnetically doped topological insulator heterostructure Fan, Yabin; Upadhyaya, Pramey; Kou, Xufeng Nature Materials, Vol. 13, Issue 7 https://doi.org/10.1038/nmat3973	journal	April 2014
Dirac-fermion-mediated ferromagnetism in a topological insulator Checkelsky, Joseph G.; Ye, Jianting; Onose, Yoshinori Nature Physics, Vol. 8, Issue 10 https://doi.org/10.1038/nphys2388	journal	August 2012
Observation of longitudinal spin-Seebeck effect in magnetic insulators Uchida, Ken-ichi; Adachi, Hiroto; Ota, Takeru Applied Physics Letters, Vol. 97, Issue 17 https://doi.org/10.1063/1.3507386	journal	October 2010
Magnetically doped semiconducting topological insulators Kou, X. F.; Jiang, W. J.; Lang, M. R. Journal of Applied Physics, Vol. 112, Issue 6 https://doi.org/10.1063/1.4754452	journal	September 2012
Spin wave stiffness constants in some ferrimagnetics Srivastava, C. M.; Aiyar, R. Journal of Physics C: Solid State Physics, Vol. 20, Issue 8 https://doi.org/10.1088/0022-3719/20/8/013	journal	March 1987
Theory of the spin Seebeck effect Adachi, Hiroto; Uchida, Ken-ichi; Saitoh, Eiji Reports on Progress in Physics, Vol. 76, Issue 3 https://doi.org/10.1088/0034-4885/76/3/036501	journal	February 2013
Specific Heat of Yttrium Iron Garnet from 1.5° to 4.2°K Shinozaki, Samuel S. Physical Review, Vol. 122, Issue 2 https://doi.org/10.1103/PhysRev.122.388	journal	April 1961
Two-dimensional surface charge transport in topological insulators Culcer, Dimitrie; Hwang, E. H.; Stanescu, Tudor D. Physical Review B, Vol. 82, Issue 15, Article No. 155457 https://doi.org/10.1103/PhysRevB.82.155457	journal	October 2010
Spin convertance at magnetic interfaces Zhang, Steven S. -L.; Zhang, Shufeng Physical Review B, Vol. 86, Issue 21 https://doi.org/10.1103/PhysRevB.86.214424	journal	December 2012
Landau-Lifshitz theory of the longitudinal spin Seebeck effect Hoffman, Silas; Sato, Koji; Tserkovnyak, Yaroslav Physical Review B, Vol. 88, Issue 6 https://doi.org/10.1103/PhysRevB.88.064408	journal	August 2013
Dynamic phase diagram of dc-pumped magnon condensates Bender, Scott A.; Duine, Rembert A.; Brataas, Arne Physical Review B, Vol. 90, Issue 9 https://doi.org/10.1103/PhysRevB.90.094409	journal	September 2014
Magnon spin transport driven by the magnon chemical potential in a magnetic insulator Cornelissen, L. J.; Peters, K. J. H.; Bauer, G. E. W. Physical Review B, Vol. 94, Issue 1 https://doi.org/10.1103/PhysRevB.94.014412	journal	July 2016
Hexagonal Warping Effects in the Surface States of the Topological Insulator Bi 2 Te 3 Fu, Liang Physical Review Letters, Vol. 103, Issue 26 https://doi.org/10.1103/PhysRevLett.103.266801	journal	December 2009
Magnon Mediated Electric Current Drag Across a Ferromagnetic Insulator Layer Zhang, Steven S. -L.; Zhang, Shufeng Physical Review Letters, Vol. 109, Issue 9 https://doi.org/10.1103/PhysRevLett.109.096603	journal	August 2012
Intrinsic Spin Seebeck Effect in Au / YIG Qu, D.; Huang, S. Y.; Hu, Jun Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.067206	journal	February 2013
Longitudinal Spin Seebeck Effect Free from the Proximity Nernst Effect Kikkawa, T.; Uchida, K.; Shiomi, Y. Physical Review Letters, Vol. 110, Issue 6 https://doi.org/10.1103/PhysRevLett.110.067207	journal	February 2013
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
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
Classics in Magnetics A Phenomenological Theory of Damping in Ferromagnetic Materials Gilbert, T. L. IEEE Transactions on Magnetics, Vol. 40, Issue 6 https://doi.org/10.1109/TMAG.2004.836740	journal	November 2004
Experimental Realization of a Three-Dimensional Topological Insulator, Bi₂Te₃ Chen, Y. L.; Analytis, J. G.; Chu, J.-H. Science, Vol. 325, Issue 5937, p. 178-181 https://doi.org/10.1126/science.1173034	journal	June 2009
Massive Dirac Fermion on the Surface of a Magnetically Doped Topological Insulator Chen, Y. L.; Chu, J. - H.; Analytis, J. G. Science, Vol. 329, Issue 5992 https://doi.org/10.1126/science.1189924	journal	August 2010
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator Chang, C. -Z.; Zhang, J.; Feng, X. Science, Vol. 340, Issue 6129 https://doi.org/10.1126/science.1234414	journal	March 2013

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Edelstein and inverse Edelstein effects caused by the pristine surface states of topological insulators Chen, Wei arXiv https://doi.org/10.48550/arxiv.1907.10486	text	January 2019

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