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Title: Chiral topological insulator of magnons

Abstract

Here, we propose a magnon realization of 3D topological insulator in the AIII (chiral symmetry) topological class. The topological magnon gap opens due to the presence of Dzyaloshinskii-Moriya interactions. The existence of the topological invariant is established by calculating the bulk winding number of the system. Within our model, the surface magnon Dirac cone is protected by the sublattice chiral symmetry. By analyzing the magnon surface modes, we confirm that the backscattering is prohibited. By weakly breaking the chiral symmetry, we observe the magnon Hall response on the surface due to opening of the gap. Finally, we show that by changing certain parameters, the system can be tuned between the chiral topological insulator, three-dimensional magnon anomalous Hall, and Weyl magnon phases.

Authors:
 [1];  [1]
  1. Univ. of Nebraska, Lincoln, NE (United States). Dept. of Physics and Astronomy and Nebraska Center for Materials and Nanoscience
Publication Date:
Research Org.:
Univ. of Nebraska, Lincoln, NE (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1437007
Alternate Identifier(s):
OSTI ID: 1437078
Grant/Contract Number:  
SC0014189
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 97; Journal Issue: 17; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Li, Bo, and Kovalev, Alexey A. Chiral topological insulator of magnons. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.174413.
Li, Bo, & Kovalev, Alexey A. Chiral topological insulator of magnons. United States. doi:10.1103/PhysRevB.97.174413.
Li, Bo, and Kovalev, Alexey A. Mon . "Chiral topological insulator of magnons". United States. doi:10.1103/PhysRevB.97.174413. https://www.osti.gov/servlets/purl/1437007.
@article{osti_1437007,
title = {Chiral topological insulator of magnons},
author = {Li, Bo and Kovalev, Alexey A.},
abstractNote = {Here, we propose a magnon realization of 3D topological insulator in the AIII (chiral symmetry) topological class. The topological magnon gap opens due to the presence of Dzyaloshinskii-Moriya interactions. The existence of the topological invariant is established by calculating the bulk winding number of the system. Within our model, the surface magnon Dirac cone is protected by the sublattice chiral symmetry. By analyzing the magnon surface modes, we confirm that the backscattering is prohibited. By weakly breaking the chiral symmetry, we observe the magnon Hall response on the surface due to opening of the gap. Finally, we show that by changing certain parameters, the system can be tuned between the chiral topological insulator, three-dimensional magnon anomalous Hall, and Weyl magnon phases.},
doi = {10.1103/PhysRevB.97.174413},
journal = {Physical Review B},
number = 17,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

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Works referenced in this record:

Topological magnon insulator in insulating ferromagnet
journal, April 2013


Topological insulators and superconductors
journal, October 2011


A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
journal, January 1958


Weyl magnons in pyrochlore antiferromagnets with an all-in-all-out order
journal, March 2018


Weyl magnons in noncoplanar stacked kagome antiferromagnets
journal, March 2018


Magnon Spin Nernst Effect in Antiferromagnets
journal, November 2016


Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
journal, July 2014


Bulk and edge spin transport in topological magnon insulators
journal, February 2018


Spin Hall and Nernst effects of Weyl magnons
journal, May 2018


Topological chiral magnonic edge mode in a magnonic crystal
journal, May 2013


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


Photonic topological insulators
journal, December 2012

  • Khanikaev, Alexander B.; Hossein Mousavi, S.; Tse, Wang-Kong
  • Nature Materials, Vol. 12, Issue 3
  • DOI: 10.1038/nmat3520

Magnetic transitions in the topological magnon insulator Cu(1,3-bdc)
journal, June 2016


Classification of topological phonons in linear mechanical metamaterials
journal, August 2016

  • Süsstrunk, Roman; Huber, Sebastian D.
  • Proceedings of the National Academy of Sciences, Vol. 113, Issue 33
  • DOI: 10.1073/pnas.1605462113

Chiral topological insulator on Nambu 3-algebraic geometry
journal, September 2014


Surface edge state and half-quantized Hall conductance in topological insulators
journal, August 2011


Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
journal, July 2016


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


Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
journal, November 2016


Magnonic quantum spin Hall state in the zigzag and stripe phases of the antiferromagnetic honeycomb lattice
journal, May 2018


Magnon Hall effect and topology in kagome lattices: A theoretical investigation
journal, April 2014


Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac magnons in Noncollinear Antiferromagnets
journal, September 2017


Magnonic Weyl semimetal and chiral anomaly in pyrochlore ferromagnets
journal, June 2017


Damped Topological Magnons in the Kagome-Lattice Ferromagnets
journal, October 2016


Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010


Theory of the Thermal Hall Effect in Quantum Magnets
journal, February 2010


Chiral topological insulating phases from three-dimensional nodal loop semimetals
journal, March 2017


Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals
journal, April 2017


Weyl magnons in breathing pyrochlore antiferromagnets
journal, September 2016

  • Li, Fei-Ye; Li, Yao-Dong; Kim, Yong Baek
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms12691

Chiral topological insulators, superconductors, and other competing orders in three dimensions
journal, January 2010


Topologically nontrivial magnons at an interface of two kagome ferromagnets
journal, June 2015


Topological spin waves in the atomic-scale magnetic skyrmion crystal
journal, April 2016


Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
journal, April 2017


Colloquium: Topological insulators
journal, November 2010


Magnonic topological insulators in antiferromagnets
journal, December 2017


Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011


Colloquium : Spontaneous magnon decays
journal, January 2013


Classification of topological insulators and superconductors in three spatial dimensions
journal, November 2008


Edge states in topological magnon insulators
journal, July 2014


Topological Magnon Bands in a Kagome Lattice Ferromagnet
journal, September 2015


Chiral spin-wave edge modes in dipolar magnetic thin films
journal, May 2013


Layer-dependent ferromagnetism in a van der Waals crystal down to the monolayer limit
journal, June 2017

  • Huang, Bevin; Clark, Genevieve; Navarro-Moratalla, Efrén
  • Nature, Vol. 546, Issue 7657
  • DOI: 10.1038/nature22391

Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
journal, September 2017


Thermal Hall effect of spins in a paramagnet
journal, March 2015


Topologically protected unidirectional edge spin waves and beam splitter
journal, January 2017


Anisotropic Superexchange Interaction and Weak Ferromagnetism
journal, October 1960


Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores
journal, October 2016


Dirac Magnons in Honeycomb Ferromagnets
journal, January 2018

  • Pershoguba, Sergey S.; Banerjee, Saikat; Lashley, J. C.
  • Physical Review X, Vol. 8, Issue 1
  • DOI: 10.1103/PhysRevX.8.011010

Magnon Dirac materials
journal, August 2016


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


    Works referencing / citing this record:

    Magnonic Weyl states in Cu 2 OSeO 3
    journal, January 2020


    Effects of spin-dependent electronic correlations on surface states in topological insulators
    journal, December 2019


    Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
    journal, September 2018


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


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