Chiral surface and edge plasmons in ferromagnetic conductors

Zhang, Steven S. -L.; Vignale, Giovanni

doi:10.1103/PhysRevB.97.224408

Title: Chiral surface and edge plasmons in ferromagnetic conductors

Journal Article · Mon Jun 11 00:00:00 EDT 2018 · Physical Review B

DOI:https://doi.org/10.1103/PhysRevB.97.224408· OSTI ID:1461537

Zhang, Steven S. -L. ^[1]; Vignale, Giovanni ^[2]

Univ. of Missouri, Columbia, MO (United States); Argonne National Lab. (ANL), Lemont, IL (United States)
Univ. of Missouri, Columbia, MO (United States)

The recently introduced concept of "surface Berry plasmons" is studied in the concrete instance of a ferromagnetic conductor in which the Berry curvature, generated by spin-orbit (SO) interaction, has opposite signs for carrier with spins parallel or antiparallel to the magnetization. By using collisionless hydrodynamic equations with appropriate boundary conditions, we study both the surface plasmons of a three-dimensional ferromagnetic conductor and the edge plasmons of a two-dimensional one. The anomalous velocity and the broken inversion symmetry at the surface or the edge of the conductor create a "handedness" whereby the plasmon frequency depends not only on the angle between the wave vector and the magnetization, but also on the direction of propagation along a given line. In particular, we find that the frequency of the edge plasmon depends on the direction of propagation along the edge. These Berry curvature effects are compared and contrasted with similar effects on plasmon dispersions induced by an external magnetic field in the absence of Berry curvature. Here, we argue that Berry curvature effects may be used to control the direction of propagation of the surface plasmons via coupling with the magnetization of ferromagnetic conductors, and thus create a link between plasmonics and spintronics.

View Accepted Manuscript (DOE)

View Accepted Manuscript (Publisher)

Cite

Export

Save

Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1461537

Alternate ID(s):: OSTI ID: 1441123

Journal Information:: Physical Review B, Vol. 97, Issue 22; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

Citation Metrics:

Cited by: 6 works

Citation information provided by
Web of Science

References (38)

Edge magnetoplasmons in a bounded two-dimensional electron fluid Fetter, Alexander L. Physical Review B, Vol. 32, Issue 12 https://doi.org/10.1103/PhysRevB.32.7676	journal	December 1985
Spintronics: Fundamentals and applications Žutić, Igor; Fabian, Jaroslav; Das Sarma, S. Reviews of Modern Physics, Vol. 76, Issue 2 https://doi.org/10.1103/RevModPhys.76.323	journal	April 2004
Berry curvature, orbital moment, and effective quantum theory of electrons in electromagnetic fields Chang, Ming-Che; Niu, Qian Journal of Physics: Condensed Matter, Vol. 20, Issue 19 https://doi.org/10.1088/0953-8984/20/19/193202	journal	April 2008
Magnetic effects at the interface between non-magnetic oxides Brinkman, A.; Huijben, M.; van Zalk, M. Nature Materials, Vol. 6, Issue 7, p. 493-496 https://doi.org/10.1038/nmat1931	journal	June 2007
Topological magnetoplasmon Jin, Dafei; Lu, Ling; Wang, Zhong Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms13486	journal	November 2016
Conduction-Band Surface Plasmons in the Electron-Energy-Loss Spectrum of GaAs(110. Matz, R.; Lüth, H. Physical Review Letters, Vol. 46, Issue 15 https://doi.org/10.1103/PhysRevLett.46.1045.2	journal	April 1981
Chiral plasmons without magnetic field Song, Justin C. W.; Rudner, Mark S. Proceedings of the National Academy of Sciences, Vol. 113, Issue 17 https://doi.org/10.1073/pnas.1519086113	journal	April 2016
Nonlocal Anomalous Hall Effect Zhang, Steven S. -L.; Vignale, Giovanni Physical Review Letters, Vol. 116, Issue 13 https://doi.org/10.1103/PhysRevLett.116.136601	journal	April 2016
Observation of Dirac plasmons in a topological insulator Di Pietro, P.; Ortolani, M.; Limaj, O. Nature Nanotechnology, Vol. 8, Issue 8 https://doi.org/10.1038/nnano.2013.134	journal	July 2013
Spintronics: A Spin-Based Electronics Vision for the Future Wolf, S. A.; Awschalom, D. D.; Buhrman, R. A. Science, Vol. 294, Issue 5546, p. 1488-1495 https://doi.org/10.1126/science.1065389	journal	November 2001
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
Spin dynamics in semiconductors Wu, M. W.; Jiang, J. H.; Weng, M. Q. Physics Reports, Vol. 493, Issue 2-4 https://doi.org/10.1016/j.physrep.2010.04.002	journal	August 2010
Surface plasmon subwavelength optics Barnes, William L.; Dereux, Alain; Ebbesen, Thomas W. Nature, Vol. 424, Issue 6950, p. 824-830 https://doi.org/10.1038/nature01937	journal	August 2003
Nanoplasmonics: The physics behind the applications Stockman, Mark I. Physics Today, Vol. 64, Issue 2 https://doi.org/10.1063/1.3554315	journal	February 2011
Quantal Phase Factors Accompanying Adiabatic Changes Berry, M. V. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 392, Issue 1802 https://doi.org/10.1098/rspa.1984.0023	journal	March 1984
Quantum Theory of the Electron Liquid Giuliani, Gabriele; Vignale, Giovanni https://doi.org/10.1017/CBO9780511619915	book	August 2012
Ten Years of Spin Hall Effect Vignale, G. Journal of Superconductivity and Novel Magnetism, Vol. 23, Issue 1 https://doi.org/10.1007/s10948-009-0547-9	journal	October 2009
Many-Particle Physics Mahan, Gerald D. Springer New York, NY https://doi.org/10.1007/978-1-4613-1469-1	book	January 1990
Edge magnetoplasmons in the time domain Ashoori, R. C.; Stormer, H. L.; Pfeiffer, L. N. Physical Review B, Vol. 45, Issue 7 https://doi.org/10.1103/PhysRevB.45.3894	journal	February 1992
Spin--Orbit Coupling Effects in Two-Dimensional Electron and Hole Systems Winkler, Roland; Höhler, Gerhard; Kühn, Johann H. Springer Tracts in Modern Physics, Vol. 191 https://doi.org/10.1007/b13586	book	January 2003
Surface-plasmon circuitry Ebbesen, Thomas W.; Genet, Cyriaque; Bozhevolnyi, Sergey I. Physics Today, Vol. 61, Issue 5 https://doi.org/10.1063/1.2930735	journal	May 2008
Side-Jump Mechanism for Ferromagnetic Hall Effect Lyo, S. K.; Holstein, T. Physical Review Letters, Vol. 29, Issue 7 https://doi.org/10.1103/PhysRevLett.29.423	journal	August 1972
A high-mobility electron gas at the LaAlO3/SrTiO3 heterointerface Ohtomo, A.; Hwang, H. Y. Nature, Vol. 427, Issue 6973 https://doi.org/10.1038/nature02308	journal	January 2004
Tunable Quasi-Two-Dimensional Electron Gases in Oxide Heterostructures Thiel, S. Science, Vol. 313, Issue 5795, p. 1942-1945 https://doi.org/10.1126/science.1131091	journal	September 2006
Challenges for semiconductor spintronics Awschalom, David D.; Flatté, Michael E. Nature Physics, Vol. 3, Issue 3 https://doi.org/10.1038/nphys551	journal	March 2007
Transport Magnetic Proximity Effects in Platinum Huang, S. Y.; Fan, X.; Qu, D. Physical Review Letters, Vol. 109, Issue 10 https://doi.org/10.1103/PhysRevLett.109.107204	journal	September 2012
Side-Jump Mechanism for the Hall Effect of Ferromagnets Berger, L. Physical Review B, Vol. 2, Issue 11 https://doi.org/10.1103/PhysRevB.2.4559	journal	December 1970
Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared Ordal, M. A.; Long, L. L.; Bell, R. J. Applied Optics, Vol. 22, Issue 7 https://doi.org/10.1364/AO.22.001099	journal	January 1983
Wave-packet dynamics in slowly perturbed crystals: Gradient corrections and Berry-phase effects Sundaram, Ganesh; Niu, Qian Physical Review B, Vol. 59, Issue 23 https://doi.org/10.1103/PhysRevB.59.14915	journal	June 1999
Theory of surface plasmons and surface-plasmon polaritons Pitarke, J. M.; Silkin, V. M.; Chulkov, E. V. Reports on Progress in Physics, Vol. 70, Issue 1 https://doi.org/10.1088/0034-4885/70/1/R01	journal	December 2006
Functional ferromagnets Dietl, Tomasz Nature Materials, Vol. 2, Issue 10 https://doi.org/10.1038/nmat989	journal	October 2003
Spin Hall Magnetoresistance Induced by a Nonequilibrium Proximity Effect Nakayama, H.; Althammer, M.; Chen, Y. -T. Physical Review Letters, Vol. 110, Issue 20 https://doi.org/10.1103/PhysRevLett.110.206601	journal	May 2013
Generation of spin currents by surface plasmon resonance Uchida, K.; Adachi, H.; Kikuchi, D. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms6910	journal	January 2015
Exploitation of Localized Surface Plasmon Resonance Hutter, E.; Fendler, J. H. Advanced Materials, Vol. 16, Issue 19, p. 1685-1706 https://doi.org/10.1002/adma.200400271	journal	October 2004
Semiconductor spintronics Fabian, Jaroslav; Matos-Abiague, Alex; Ertler, Christian Acta Physica Slovaca. Reviews and Tutorials, Vol. 57, Issue 4-5 https://doi.org/10.2478/v10155-010-0086-8	journal	August 2007
Berry phase effects on electronic properties Xiao, Di; Chang, Ming-Che; Niu, Qian Reviews of Modern Physics, Vol. 82, Issue 3 https://doi.org/10.1103/RevModPhys.82.1959	journal	July 2010
Chiral plasmon in gapped Dirac systems Kumar, Anshuman; Nemilentsau, Andrei; Fung, Kin Hung Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevB.93.041413	journal	January 2016
Anomalous Hall effect Nagaosa, Naoto; Sinova, Jairo; Onoda, Shigeki Reviews of Modern Physics, Vol. 82, Issue 2 https://doi.org/10.1103/RevModPhys.82.1539	journal	May 2010