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:
-
- 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}
}
Works referenced in this record:
Topological magnon insulator in insulating ferromagnet
journal, April 2013
- Zhang, Lifa; Ren, Jie; Wang, Jian-Sheng
- Physical Review B, Vol. 87, Issue 14
Topological insulators and superconductors
journal, October 2011
- Qi, Xiao-Liang; Zhang, Shou-Cheng
- Reviews of Modern Physics, Vol. 83, Issue 4
A thermodynamic theory of “weak” ferromagnetism of antiferromagnetics
journal, January 1958
- Dzyaloshinsky, I.
- Journal of Physics and Chemistry of Solids, Vol. 4, Issue 4
Weyl magnons in pyrochlore antiferromagnets with an all-in-all-out order
journal, March 2018
- Jian, Shao-Kai; Nie, Wenxing
- Physical Review B, Vol. 97, Issue 11
Weyl magnons in noncoplanar stacked kagome antiferromagnets
journal, March 2018
- Owerre, S. A.
- Physical Review B, Vol. 97, Issue 9
Magnon Spin Nernst Effect in Antiferromagnets
journal, November 2016
- Zyuzin, Vladimir A.; Kovalev, Alexey A.
- Physical Review Letters, Vol. 117, Issue 21
Probe of Three-Dimensional Chiral Topological Insulators in an Optical Lattice
journal, July 2014
- Wang, S. -T.; Deng, D. -L.; Duan, L. -M.
- Physical Review Letters, Vol. 113, Issue 3
Bulk and edge spin transport in topological magnon insulators
journal, February 2018
- Rückriegel, Andreas; Brataas, Arne; Duine, Rembert A.
- Physical Review B, Vol. 97, Issue 8
Spin Hall and Nernst effects of Weyl magnons
journal, May 2018
- Zyuzin, Vladimir A.; Kovalev, Alexey A.
- Physical Review B, Vol. 97, Issue 17
Topological chiral magnonic edge mode in a magnonic crystal
journal, May 2013
- Shindou, Ryuichi; Matsumoto, Ryo; Murakami, Shuichi
- Physical Review B, Vol. 87, Issue 17
A first theoretical realization of honeycomb topological magnon insulator
journal, July 2016
- Owerre, S. A.
- Journal of Physics: Condensed Matter, Vol. 28, Issue 38
Photonic topological insulators
journal, December 2012
- Khanikaev, Alexander B.; Hossein Mousavi, S.; Tse, Wang-Kong
- Nature Materials, Vol. 12, Issue 3
Magnetic transitions in the topological magnon insulator Cu(1,3-bdc)
journal, June 2016
- Chisnell, R.; Helton, J. S.; Freedman, D. E.
- Physical Review B, Vol. 93, Issue 21
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
Chiral topological insulator on Nambu 3-algebraic geometry
journal, September 2014
- Hasebe, Kazuki
- Nuclear Physics B, Vol. 886
Surface edge state and half-quantized Hall conductance in topological insulators
journal, August 2011
- Chu, Rui-Lin; Shi, Junren; Shen, Shun-Qing
- Physical Review B, Vol. 84, Issue 8
Topological honeycomb magnon Hall effect: A calculation of thermal Hall conductivity of magnetic spin excitations
journal, July 2016
- Owerre, S. A.
- Journal of Applied Physics, Vol. 120, Issue 4
Spin torque and Nernst effects in Dzyaloshinskii-Moriya ferromagnets
journal, April 2016
- Kovalev, Alexey A.; Zyuzin, Vladimir
- Physical Review B, Vol. 93, Issue 16
Realization of the Haldane-Kane-Mele Model in a System of Localized Spins
journal, November 2016
- Kim, Se Kwon; Ochoa, Héctor; Zarzuela, Ricardo
- Physical Review Letters, Vol. 117, Issue 22
Magnonic quantum spin Hall state in the zigzag and stripe phases of the antiferromagnetic honeycomb lattice
journal, May 2018
- Lee, Ki Hoon; Chung, Suk Bum; Park, Kisoo
- Physical Review B, Vol. 97, Issue 18
Magnon Hall effect and topology in kagome lattices: A theoretical investigation
journal, April 2014
- Mook, Alexander; Henk, Jürgen; Mertig, Ingrid
- Physical Review B, Vol. 89, Issue 13
Magnon Spin-Momentum Locking: Various Spin Vortices and Dirac magnons in Noncollinear Antiferromagnets
journal, September 2017
- Okuma, Nobuyuki
- Physical Review Letters, Vol. 119, Issue 10
Magnonic Weyl semimetal and chiral anomaly in pyrochlore ferromagnets
journal, June 2017
- Su, Ying; Wang, X. S.; Wang, X. R.
- Physical Review B, Vol. 95, Issue 22
Damped Topological Magnons in the Kagome-Lattice Ferromagnets
journal, October 2016
- Chernyshev, A. L.; Maksimov, P. A.
- Physical Review Letters, Vol. 117, Issue 18
Topological insulators and superconductors: tenfold way and dimensional hierarchy
journal, June 2010
- Ryu, Shinsei; Schnyder, Andreas P.; Furusaki, Akira
- New Journal of Physics, Vol. 12, Issue 6
Theory of the Thermal Hall Effect in Quantum Magnets
journal, February 2010
- Katsura, Hosho; Nagaosa, Naoto; Lee, Patrick A.
- Physical Review Letters, Vol. 104, Issue 6
Chiral topological insulating phases from three-dimensional nodal loop semimetals
journal, March 2017
- Li, Linhu; Yin, Chuanhao; Chen, Shu
- Physical Review B, Vol. 95, Issue 12
Discovery of intrinsic ferromagnetism in two-dimensional van der Waals crystals
journal, April 2017
- Gong, Cheng; Li, Lin; Li, Zhenglu
- Nature, Vol. 546, Issue 7657
Weyl magnons in breathing pyrochlore antiferromagnets
journal, September 2016
- Li, Fei-Ye; Li, Yao-Dong; Kim, Yong Baek
- Nature Communications, Vol. 7, Issue 1
Chiral topological insulators, superconductors, and other competing orders in three dimensions
journal, January 2010
- Hosur, Pavan; Ryu, Shinsei; Vishwanath, Ashvin
- Physical Review B, Vol. 81, Issue 4
Topologically nontrivial magnons at an interface of two kagome ferromagnets
journal, June 2015
- Mook, Alexander; Henk, Jürgen; Mertig, Ingrid
- Physical Review B, Vol. 91, Issue 22
Topological spin waves in the atomic-scale magnetic skyrmion crystal
journal, April 2016
- Roldán-Molina, A.; Nunez, A. S.; Fernández-Rossier, J.
- New Journal of Physics, Vol. 18, Issue 4
Topological Magnon Bands and Unconventional Superconductivity in Pyrochlore Iridate Thin Films
journal, April 2017
- Laurell, Pontus; Fiete, Gregory A.
- Physical Review Letters, Vol. 118, Issue 17
Colloquium: Topological insulators
journal, November 2010
- Hasan, M. Z.; Kane, C. L.
- Reviews of Modern Physics, Vol. 82, Issue 4, p. 3045-3067
Magnonic topological insulators in antiferromagnets
journal, December 2017
- Nakata, Kouki; Kim, Se Kwon; Klinovaja, Jelena
- Physical Review B, Vol. 96, Issue 22
Weyl Semimetal in a Topological Insulator Multilayer
journal, September 2011
- Burkov, A. A.; Balents, Leon
- Physical Review Letters, Vol. 107, Issue 12
Colloquium : Spontaneous magnon decays
journal, January 2013
- Zhitomirsky, M. E.; Chernyshev, A. L.
- Reviews of Modern Physics, Vol. 85, Issue 1
Classification of topological insulators and superconductors in three spatial dimensions
journal, November 2008
- Schnyder, Andreas P.; Ryu, Shinsei; Furusaki, Akira
- Physical Review B, Vol. 78, Issue 19
Edge states in topological magnon insulators
journal, July 2014
- Mook, Alexander; Henk, Jürgen; Mertig, Ingrid
- Physical Review B, Vol. 90, Issue 2
Topological Magnon Bands in a Kagome Lattice Ferromagnet
journal, September 2015
- Chisnell, R.; Helton, J. S.; Freedman, D. E.
- Physical Review Letters, Vol. 115, Issue 14
Chiral spin-wave edge modes in dipolar magnetic thin films
journal, May 2013
- Shindou, Ryuichi; Ohe, Jun-ichiro; Matsumoto, Ryo
- Physical Review B, Vol. 87, Issue 17
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
Chiral anomaly of Weyl magnons in stacked honeycomb ferromagnets
journal, September 2017
- Su, Ying; Wang, X. R.
- Physical Review B, Vol. 96, Issue 10
Thermal Hall effect of spins in a paramagnet
journal, March 2015
- Lee, Hyunyong; Han, Jung Hoon; Lee, Patrick A.
- Physical Review B, Vol. 91, Issue 12
Topologically protected unidirectional edge spin waves and beam splitter
journal, January 2017
- Wang, X. S.; Su, Ying; Wang, X. R.
- Physical Review B, Vol. 95, Issue 1
Anisotropic Superexchange Interaction and Weak Ferromagnetism
journal, October 1960
- Moriya, Tôru
- Physical Review, Vol. 120, Issue 1
Tunable Magnon Weyl Points in Ferromagnetic Pyrochlores
journal, October 2016
- Mook, Alexander; Henk, Jürgen; Mertig, Ingrid
- Physical Review Letters, Vol. 117, Issue 15
Dirac Magnons in Honeycomb Ferromagnets
journal, January 2018
- Pershoguba, Sergey S.; Banerjee, Saikat; Lashley, J. C.
- Physical Review X, Vol. 8, Issue 1
Magnon Dirac materials
journal, August 2016
- Fransson, J.; Black-Schaffer, A. M.; Balatsky, A. V.
- Physical Review B, Vol. 94, Issue 7
Spin Current and Magnetoelectric Effect in Noncollinear Magnets
journal, July 2005
- Katsura, Hosho; Nagaosa, Naoto; Balatsky, Alexander V.
- Physical Review Letters, Vol. 95, Issue 5
Works referencing / citing this record:
Magnonic Weyl states in Cu 2 OSeO 3
journal, January 2020
- Zhang, L. -C.; Onykiienko, Y. A.; Buhl, P. M.
- Physical Review Research, Vol. 2, Issue 1
Effects of spin-dependent electronic correlations on surface states in topological insulators
journal, December 2019
- Toklikishvili, Z.; Chotorlishvili, L.; Stagraczyński, S.
- Physical Review B, Vol. 100, Issue 23
Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions
journal, September 2018
- Laurell, Pontus; Fiete, Gregory A.
- Physical Review B, Vol. 98, Issue 9
Topological Magnons and Edge States in Antiferromagnetic Skyrmion Crystals
journal, May 2019
- Díaz, Sebastián A.; Klinovaja, Jelena; Loss, Daniel
- Physical Review Letters, Vol. 122, Issue 18
Intrinsic spin Nernst effect of magnons in a noncollinear antiferromagnet
journal, January 2020
- Li, Bo; Sandhoefner, Shane; Kovalev, Alexey A.
- Physical Review Research, Vol. 2, Issue 1