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Title: Chiral surface and edge plasmons in ferromagnetic conductors

Abstract

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.

Authors:
 [1];  [2]
  1. Univ. of Missouri, Columbia, MO (United States); Argonne National Lab. (ANL), Lemont, IL (United States)
  2. Univ. of Missouri, Columbia, MO (United States)
Publication Date:
Research Org.:
Argonne National Laboratory (ANL), Argonne, IL (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE
OSTI Identifier:
1461537
Alternate Identifier(s):
OSTI ID: 1441123
Grant/Contract Number:  
AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 22; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS

Citation Formats

Zhang, Steven S. -L., and Vignale, Giovanni. Chiral surface and edge plasmons in ferromagnetic conductors. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.224408.
Zhang, Steven S. -L., & Vignale, Giovanni. Chiral surface and edge plasmons in ferromagnetic conductors. United States. https://doi.org/10.1103/PhysRevB.97.224408
Zhang, Steven S. -L., and Vignale, Giovanni. Mon . "Chiral surface and edge plasmons in ferromagnetic conductors". United States. https://doi.org/10.1103/PhysRevB.97.224408. https://www.osti.gov/servlets/purl/1461537.
@article{osti_1461537,
title = {Chiral surface and edge plasmons in ferromagnetic conductors},
author = {Zhang, Steven S. -L. and Vignale, Giovanni},
abstractNote = {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.},
doi = {10.1103/PhysRevB.97.224408},
journal = {Physical Review B},
number = 22,
volume = 97,
place = {United States},
year = {Mon Jun 11 00:00:00 EDT 2018},
month = {Mon Jun 11 00:00:00 EDT 2018}
}

Journal Article:

Citation Metrics:
Cited by: 6 works
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Figures / Tables:

FIG. 1 FIG. 1: Variation of the 3D ferromagnetic surface plasmon frequency $ω$+ (scaled by $ω$$S$) with the in-plane wave vector q. The set-up of the system is shown schematically in panel (a) with $\phi$$q$ defined as the angle between the direction of propagation of the surface plasmon and the direction ofmore » magnetization fixed on the $x$-axis. Panel (b) shows $ω$+ as a function of $\phi$$q$ at a fixed magnitude of the wave vector of $q$ = 0.1$k$$F$ for several different values of $τ$$so$ (scaled by $ω^{−1}_{B}$ ), panel (c) shows $ω$+ as a function of the magnitude of the wave vector $q$ for several different angles $\phi$$q$ with a given SO interaction strength $ω$$B$$τ$$so$ = 0.5, and panel (d) is a schematic picture showing the range of $\phi$$q$ (plasmon propagation directions) for which the surface mode is forbidden when the quantity |$\mathcal{P}ω$$S$$τ$$so$| is greater than $\frac{1}{\sqrt{2}}$ . Note that the Fermi wave vector $k$$F$is related with the 3D equilibrium electron density via $n$0 = $\frac{k^{3}_{F}}{3π^2}$ .« less

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Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.