DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Magnon Landau Levels and Spin Responses in Antiferromagnets

Abstract

We study gauge fields produced by gradients of the Dzyaloshinskii-Moriya interaction and propose a model of an AFM topological insulator of magnons. In the long wavelength limit, the Landau levels induced by the inhomogeneous Dzyaloshinskii-Moriya interaction exhibit relativistic physics described by the Klein-Gordon equation. The spin Nernst response due to the formation of magnonic Landau levels is compared to similar topological responses in skyrmion and vortex-antivortex crystal phases of AFM insulators. Here, our studies show that AFM insulators exhibit rich physics associated with topological magnon excitations.

Authors:
ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Nebraska, Lincoln, NE (United States)
Publication Date:
Research Org.:
Univ. of Nebraska, Lincoln, NE (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1755211
Grant/Contract Number:  
SC0014189
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 125; Journal Issue: 25; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Hall effect; Magnetic texture; Magnons; Spintronics; Topological insulators

Citation Formats

Li, Bo, and Kovalev, Alexey. Magnon Landau Levels and Spin Responses in Antiferromagnets. United States: N. p., 2020. Web. doi:10.1103/PhysRevLett.125.257201.
Li, Bo, & Kovalev, Alexey. Magnon Landau Levels and Spin Responses in Antiferromagnets. United States. https://doi.org/10.1103/PhysRevLett.125.257201
Li, Bo, and Kovalev, Alexey. Mon . "Magnon Landau Levels and Spin Responses in Antiferromagnets". United States. https://doi.org/10.1103/PhysRevLett.125.257201. https://www.osti.gov/servlets/purl/1755211.
@article{osti_1755211,
title = {Magnon Landau Levels and Spin Responses in Antiferromagnets},
author = {Li, Bo and Kovalev, Alexey},
abstractNote = {We study gauge fields produced by gradients of the Dzyaloshinskii-Moriya interaction and propose a model of an AFM topological insulator of magnons. In the long wavelength limit, the Landau levels induced by the inhomogeneous Dzyaloshinskii-Moriya interaction exhibit relativistic physics described by the Klein-Gordon equation. The spin Nernst response due to the formation of magnonic Landau levels is compared to similar topological responses in skyrmion and vortex-antivortex crystal phases of AFM insulators. Here, our studies show that AFM insulators exhibit rich physics associated with topological magnon excitations.},
doi = {10.1103/PhysRevLett.125.257201},
journal = {Physical Review Letters},
number = 25,
volume = 125,
place = {United States},
year = {Mon Dec 14 00:00:00 EST 2020},
month = {Mon Dec 14 00:00:00 EST 2020}
}

Works referenced in this record:

Unconventional topological Hall effect in skyrmion crystals caused by the topology of the lattice
journal, March 2017


Skyrmions and anomalous Hall effect in a Dzyaloshinskii-Moriya spiral magnet
journal, August 2009


The design and verification of MuMax3
journal, October 2014

  • Vansteenkiste, Arne; Leliaert, Jonathan; Dvornik, Mykola
  • AIP Advances, Vol. 4, Issue 10
  • DOI: 10.1063/1.4899186

Electron band structure in a two-dimensional periodic magnetic field
journal, October 1994


Thermodynamically stable magnetic vortex states in magnetic crystals
journal, December 1994


Magnon Spin Nernst Effect in Antiferromagnets
journal, November 2016


Magnetic texture-induced thermal Hall effects
journal, January 2013

  • van Hoogdalem, Kevin A.; Tserkovnyak, Yaroslav; Loss, Daniel
  • Physical Review B, Vol. 87, Issue 2
  • DOI: 10.1103/PhysRevB.87.024402

A reversible conversion between a skyrmion and a domain-wall pair in a junction geometry
journal, August 2014

  • Zhou, Yan; Ezawa, Motohiko
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms5652

Antiferromagnetic skyrmion crystals: Generation, topological Hall, and topological spin Hall effect
journal, August 2017


Chiral topological insulator of magnons
journal, May 2018


Antiferromagnetic Skyrmion: Stability, Creation and Manipulation
journal, April 2016

  • Zhang, Xichao; Zhou, Yan; Ezawa, Motohiko
  • Scientific Reports, Vol. 6, Issue 1
  • DOI: 10.1038/srep24795

Thermomagnonic spin transfer and Peltier effects in insulating magnets
journal, March 2012


Topological magnons in Kitaev magnets at high fields
journal, August 2018


Linear momentum in ferromagnets
journal, March 1987


A first theoretical realization of honeycomb topological magnon insulator
journal, July 2016


Unusual Hall Effect Anomaly in MnSi under Pressure
journal, May 2009


Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
journal, June 2015


Electrical switching of an antiferromagnet
journal, January 2016


Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
journal, April 2016


Terahertz electrical writing speed in an antiferromagnetic memory
journal, March 2018

  • Olejník, Kamil; Seifert, Tom; Kašpar, Zdeněk
  • Science Advances, Vol. 4, Issue 3
  • DOI: 10.1126/sciadv.aar3566

Magnonic Floquet Hofstadter butterfly
journal, December 2018


Skyrmions and Antiskyrmions in Quasi-Two-Dimensional Magnets
journal, September 2018


Magnon spintronics
journal, June 2015

  • Chumak, A. V.; Vasyuchka, V. I.; Serga, A. A.
  • Nature Physics, Vol. 11, Issue 6
  • DOI: 10.1038/nphys3347

Real-space observation of a two-dimensional skyrmion crystal
journal, June 2010


Theory of the Topological Spin Hall Effect in Antiferromagnetic Skyrmions: Impact on Current-Induced Motion
journal, August 2018


Interfacial Dzyaloshinskii-Moriya Interaction in Pt / CoFeB Films: Effect of the Heavy-Metal Thickness
journal, April 2017


Tunable Magnonic Thermal Hall Effect in Skyrmion Crystal Phases of Ferrimagnets
journal, February 2019


Thermal Hall effect of magnons in magnets with dipolar interaction
journal, February 2014


Static and Dynamical Properties of Antiferromagnetic Skyrmions in the Presence of Applied Current and Temperature
journal, April 2016


Topological spin Hall effect in antiferromagnetic skyrmions
journal, February 2017

  • Buhl, Patrick M.; Freimuth, Frank; Blügel, Stefan
  • physica status solidi (RRL) - Rapid Research Letters, Vol. 11, Issue 4
  • DOI: 10.1002/pssr.201700007

Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
journal, May 2019


Signatures of lattice geometry in quantum and topological Hall effect
journal, June 2017


Topological Hall and spin Hall effects in disordered skyrmionic textures
journal, February 2017

  • Ndiaye, Papa Birame; Akosa, Collins Ashu; Manchon, Aurélien
  • Physical Review B, Vol. 95, Issue 6
  • DOI: 10.1103/PhysRevB.95.064426

Electrical writing, deleting, reading, and moving of magnetic skyrmioniums in a racetrack device
journal, August 2019


Skyrmions in thin films with easy-plane magnetocrystalline anisotropy
journal, March 2016

  • Vousden, Mark; Albert, Maximilian; Beg, Marijan
  • Applied Physics Letters, Vol. 108, Issue 13
  • DOI: 10.1063/1.4945262

Robust isothermal electric control of exchange bias at room temperature
journal, June 2010

  • He, Xi; Wang, Yi; Wu, Ning
  • Nature Materials, Vol. 9, Issue 7
  • DOI: 10.1038/nmat2785

Antiferromagnetic spintronics
journal, February 2018


Quantized Hall Conductance in a Two-Dimensional Periodic Potential
journal, August 1982


Large Topological Hall Effect in a Short-Period Helimagnet MnGe
journal, April 2011


Skyrmion Lattice in a Chiral Magnet
journal, February 2009


Microscopic approach to current-driven domain wall dynamics
journal, November 2008


Stabilization of the skyrmion crystal phase and transport in thin-film antiferromagnets
journal, September 2019


Current-induced spin-orbit torques in ferromagnetic and antiferromagnetic systems
journal, September 2019


Transformation between meron and skyrmion topological spin textures in a chiral magnet
journal, December 2018


Magnonic topological insulators in antiferromagnets
journal, December 2017


Dynamics of antiferromagnetic skyrmion driven by the spin Hall effect
journal, October 2016

  • Jin, Chendong; Song, Chengkun; Wang, Jianbo
  • Applied Physics Letters, Vol. 109, Issue 18
  • DOI: 10.1063/1.4967006

Topological analysis of the quantum Hall effect in graphene: Dirac-Fermi transition across van Hove singularities and edge versus bulk quantum numbers
journal, November 2006


Spontaneous skyrmion ground states in magnetic metals
journal, August 2006

  • Rößler, U. K.; Bogdanov, A. N.; Pfleiderer, C.
  • Nature, Vol. 442, Issue 7104, p. 797-801
  • DOI: 10.1038/nature05056

Topological magnons in a kagome-lattice spin system with X X Z and Dzyaloshinskii-Moriya interactions
journal, April 2018


Thermophoresis of an antiferromagnetic soliton
journal, July 2015


Diagonalization of the quadratic boson hamiltonian
journal, September 1978


Edge states in topological magnon insulators
journal, July 2014


Phenomenology of current-induced skyrmion motion in antiferromagnets
journal, July 2016


Magnetic skyrmions: advances in physics and potential applications
journal, June 2017


Strong Damping‐Like Spin‐Orbit Torque and Tunable Dzyaloshinskii–Moriya Interaction Generated by Low‐Resistivity Pd 1− x Pt x Alloys
journal, February 2019

  • Zhu, Lijun; Sobotkiewich, Kemal; Ma, Xin
  • Advanced Functional Materials, Vol. 29, Issue 16
  • DOI: 10.1002/adfm.201805822

Quantum Hall effect in graphene: Disorder effect and phase diagram
journal, June 2006


Topological Hall effect at above room temperature in heterostructures composed of a magnetic insulator and a heavy metal
journal, May 2019


Motion in Electric and Magnetic Fields. I. Klein‐Gordon Particles
journal, February 1971


Relativistic Néel-Order Fields Induced by Electrical Current in Antiferromagnets
journal, October 2014


Emergent electrodynamics of skyrmions in a chiral magnet
journal, February 2012

  • Schulz, T.; Ritz, R.; Bauer, A.
  • Nature Physics, Vol. 8, Issue 4
  • DOI: 10.1038/nphys2231

Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
journal, September 1976


Spin Current and Magnetoelectric Effect in Noncollinear Magnets
journal, July 2005


Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
journal, January 2020