Order and excitations in large-S kagomé-lattice antiferromagnets
Abstract
In this work, we systematically investigate the ground-state and the spectral properties of antiferromagnets on a kagomé lattice with several common types of the planar anisotropy: XXZ, single-ion, and out-of-plane Dzyaloshinskii-Moriya. Our main focus is on the role of nonlinear, anharmonic terms, which are responsible for the quantum order-by-disorder effect and for the corresponding selection of the ground-state spin structure in many of these models. The XXZ and the single-ion anisotropy models exhibit a quantum phase transition between the q=0 and the $$\sqrt{3}$$ ×$$\sqrt{3}$$ states as a function of the anisotropy parameter, offering a rare example of the quantum order-by-disorder fluctuations favoring a ground state which is different from the one selected by thermal fluctuations. The nonlinear terms are also shown to be crucial for a very strong near-resonant decay phenomenon leading to the quasiparticle breakdown in the kagomé-lattice antiferromagnets whose spectra are featuring flat or weakly dispersive modes. The effect is shown to persist even in the limit of large spin values and should be common to other frustrated magnets with flat branches of excitations. Model calculations of the spectrum of the S=5/2 Fe-jarosite with Dzyaloshinskii-Moriya anisotropy provide a convincing and detailed characterization of the proposed scenario.
- Authors:
-
- Univ. of California, Irvine, CA (United States)
- Alternative Energies and Atomic Energy Commission (CEA), Grenoble (France)
- Publication Date:
- Research Org.:
- Univ. of California, Irvine, CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Science Foundation (NSF); USDOE
- OSTI Identifier:
- 1784346
- Alternate Identifier(s):
- OSTI ID: 1223547
- Grant/Contract Number:
- FG02-04ER46174; PHYS-1066293; PHY11-25915
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B, Condensed Matter and Materials Physics
- Additional Journal Information:
- Journal Volume: 92; Journal Issue: 14; Journal ID: ISSN 1098-0121
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Chernyshev, A. L., and Zhitomirsky, M. E. Order and excitations in large-S kagomé-lattice antiferromagnets. United States: N. p., 2015.
Web. doi:10.1103/physrevb.92.144415.
Chernyshev, A. L., & Zhitomirsky, M. E. Order and excitations in large-S kagomé-lattice antiferromagnets. United States. https://doi.org/10.1103/physrevb.92.144415
Chernyshev, A. L., and Zhitomirsky, M. E. Tue .
"Order and excitations in large-S kagomé-lattice antiferromagnets". United States. https://doi.org/10.1103/physrevb.92.144415. https://www.osti.gov/servlets/purl/1784346.
@article{osti_1784346,
title = {Order and excitations in large-S kagomé-lattice antiferromagnets},
author = {Chernyshev, A. L. and Zhitomirsky, M. E.},
abstractNote = {In this work, we systematically investigate the ground-state and the spectral properties of antiferromagnets on a kagomé lattice with several common types of the planar anisotropy: XXZ, single-ion, and out-of-plane Dzyaloshinskii-Moriya. Our main focus is on the role of nonlinear, anharmonic terms, which are responsible for the quantum order-by-disorder effect and for the corresponding selection of the ground-state spin structure in many of these models. The XXZ and the single-ion anisotropy models exhibit a quantum phase transition between the q=0 and the $\sqrt{3}$ ×$\sqrt{3}$ states as a function of the anisotropy parameter, offering a rare example of the quantum order-by-disorder fluctuations favoring a ground state which is different from the one selected by thermal fluctuations. The nonlinear terms are also shown to be crucial for a very strong near-resonant decay phenomenon leading to the quasiparticle breakdown in the kagomé-lattice antiferromagnets whose spectra are featuring flat or weakly dispersive modes. The effect is shown to persist even in the limit of large spin values and should be common to other frustrated magnets with flat branches of excitations. Model calculations of the spectrum of the S=5/2 Fe-jarosite with Dzyaloshinskii-Moriya anisotropy provide a convincing and detailed characterization of the proposed scenario.},
doi = {10.1103/physrevb.92.144415},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 14,
volume = 92,
place = {United States},
year = {Tue Oct 13 00:00:00 EDT 2015},
month = {Tue Oct 13 00:00:00 EDT 2015}
}
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Works referenced in this record:
Dzyaloshinsky-Moriya Anisotropy in the Spin-1/2 Kagome Compound
journal, July 2008
- Zorko, A.; Nellutla, S.; van Tol, J.
- Physical Review Letters, Vol. 101, Issue 2
Possible Néel orderings of the Kagomé antiferromagnet
journal, February 1992
- Harris, A. B.; Kallin, C.; Berlinsky, A. J.
- Physical Review B, Vol. 45, Issue 6
Numerical study of magnetization plateaux in the spin-1/2 kagome Heisenberg antiferromagnet
text, January 2013
- Capponi, Sylvain; Derzhko, Oleg; Honecker, Andreas
- arXiv
Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb$_2$Cu$_3$SnF$_{12}$
text, January 2013
- Matan, K.; Nambu, Y.; Zhao, Y.
- arXiv
The ground-state phase diagram of the XXZ spin-s kagome antiferromagnet: A coupled-cluster study
text, January 2015
- Götze, O.; Richter, J.
- arXiv
Schwinger-boson approach to the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions: Phase diagram and dynamical structure factors
journal, February 2010
- Messio, L.; Cépas, O.; Lhuillier, C.
- Physical Review B, Vol. 81, Issue 6
Spin Waves in the Frustrated Kagomé Lattice Antiferromagnet
journal, June 2006
- Matan, K.; Grohol, D.; Nocera, D. G.
- Physical Review Letters, Vol. 96, Issue 24
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
journal, April 2011
- Yan, S.; Huse, D. A.; White, S. R.
- Science, Vol. 332, Issue 6034
Order from disorder in a kagomé antiferromagnet
journal, August 1992
- Chubukov, Andrey
- Physical Review Letters, Vol. 69, Issue 5
Spin tunneling in the kagomé antiferromagnet
journal, July 1993
- von Delft, Jan; Henley, Christopher L.
- Physical Review B, Vol. 48, Issue 2
Phase transitions in the antiferromagnetic model with a kagomé lattice
journal, January 2002
- Korshunov, S. E.
- Physical Review B, Vol. 65, Issue 5
Frustration and Dzyaloshinsky-Moriya anisotropy in the kagome francisites
journal, January 2015
- Rousochatzakis, Ioannis; Richter, Johannes; Zinke, Ronald
- Physical Review B, Vol. 91, Issue 2
Magnetic structure and spin waves in the Kagomé jarosite compound
journal, June 2006
- Yildirim, T.; Harris, A. B.
- Physical Review B, Vol. 73, Issue 21
Spin waves in a triangular lattice antiferromagnet: Decays, spectrum renormalization, and singularities
journal, April 2009
- Chernyshev, A. L.; Zhitomirsky, M. E.
- Physical Review B, Vol. 79, Issue 14
Long-range order in the classical kagome antiferromagnet: Effective Hamiltonian approach
journal, November 2009
- Henley, Christopher L.
- Physical Review B, Vol. 80, Issue 18
Phase transitions in a kagomé lattice of Josephson junctions
journal, May 1997
- Rzchowski, M. S.
- Physical Review B, Vol. 55, Issue 17
β-Vesignieite BaCu3V2O8(OH)2: a structurally perfect S = 1/2 kagomé antiferromagnet
journal, January 2012
- Yoshida, Hiroyuki; Michiue, Yuichi; Takayama-Muromachi, Eiji
- Journal of Materials Chemistry, Vol. 22, Issue 36
Numerical study of magnetization plateaus in the spin- kagome Heisenberg antiferromagnet
journal, October 2013
- Capponi, Sylvain; Derzhko, Oleg; Honecker, Andreas
- Physical Review B, Vol. 88, Issue 14
Strong quantum effects in an almost classical antiferromagnet on a kagome lattice
journal, September 2015
- Chernyshev, A. L.
- Physical Review B, Vol. 92, Issue 9
Quasiparticle breakdown in a quantum spin liquid
text, January 2005
- Stone, Matthew B.; Zaliznyak, Igor A.; Hong, Tao
- arXiv
Dynamical structure factor of triangular-lattice antiferromagnet
text, January 2013
- Mourigal, M.; Fuhrman, W. T.; Chernyshev, A. L.
- arXiv
Quantum phase transition induced by Dzyaloshinskii-Moriya interactions in the kagome antiferromagnet
journal, October 2008
- Cépas, O.; Fong, C. M.; Leung, P. W.
- Physical Review B, Vol. 78, Issue 14
Phase transitions in the antiferromagnetic XY model with a kagome lattice
text, January 2001
- Korshunov, S. E.
- arXiv
Long range order in the classical kagome antiferromagnet: effective Hamiltonian approach
text, January 2008
- Henley, Christopher L.
- arXiv
Colorings of a Hexagonal Lattice
journal, March 1970
- Baxter, R. J.
- Journal of Mathematical Physics, Vol. 11, Issue 3
Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagomé lattice
journal, July 2002
- Elhajal, M.; Canals, B.; Lacroix, C.
- Physical Review B, Vol. 66, Issue 1
Quasiparticle breakdown in a quantum spin liquid
journal, March 2006
- Stone, Matthew B.; Zaliznyak, Igor A.; Hong, Tao
- Nature, Vol. 440, Issue 7081
Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagome lattice
text, January 2002
- Elhajal, M.; Canals, B.; Lacroix, C.
- arXiv
Quantum Selection of Order in an Antiferromagnet on a Kagome Lattice
journal, December 2014
- Chernyshev, A. L.; Zhitomirsky, M. E.
- Physical Review Letters, Vol. 113, Issue 23
Semiclassical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
journal, August 2014
- Taillefumier, Mathieu; Robert, Julien; Henley, Christopher L.
- Physical Review B, Vol. 90, Issue 6
Ground-state phase diagram of the XXZ spin- kagome antiferromagnet: A coupled-cluster study
journal, March 2015
- Götze, O.; Richter, J.
- Physical Review B, Vol. 91, Issue 10
Dynamics of Composite Haldane Spin Chains in
journal, February 2006
- Masuda, T.; Zheludev, A.; Manaka, H.
- Physical Review Letters, Vol. 96, Issue 4
Hidden order in a frustrated system: Properties of the Heisenberg Kagomé antiferromagnet
journal, February 1992
- Chalker, J. T.; Holdsworth, P. C. W.; Shender, E. F.
- Physical Review Letters, Vol. 68, Issue 6
Theory of Spin-Wave Interactions in Ferro- and Antiferromagnetism
journal, January 1960
- Oguchi, Takehiko
- Physical Review, Vol. 117, Issue 1
Quantum criticality of the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions
journal, April 2010
- Huh, Yejin; Fritz, Lars; Sachdev, Subir
- Physical Review B, Vol. 81, Issue 14
Order by disorder in the classical Heisenberg kagomé antiferromagnet
journal, October 1993
- Reimers, Jan N.; Berlinsky, A. J.
- Physical Review B, Vol. 48, Issue 13
Classical antiferromagnets on the Kagomé lattice
journal, April 1992
- Huse, David A.; Rutenberg, Andrew D.
- Physical Review B, Vol. 45, Issue 13
Order from disorder in a kagome antiferromagnet
journal, May 1993
- Chubukov, Andrey
- Journal of Applied Physics, Vol. 73, Issue 10
Dynamical structure factor of the triangular-lattice antiferromagnet
journal, September 2013
- Mourigal, M.; Fuhrman, W. T.; Chernyshev, A. L.
- Physical Review B, Vol. 88, Issue 9
Dispersionless Spin Waves and Underlying Field-Induced Magnetic Order in Gadolinium Gallium Garnet
journal, June 2015
- d’Ambrumenil, N.; Petrenko, O. A.; Mutka, H.
- Physical Review Letters, Vol. 114, Issue 22
Ghost modes and continuum scattering in the dimerized distorted kagome lattice antiferromagnet Rb Cu SnF
journal, January 2014
- Matan, K.; Nambu, Y.; Zhao, Y.
- Physical Review B, Vol. 89, Issue 2
Field-Induced Transitions in a Kagomé Antiferromagnet
journal, January 2002
- Zhitomirsky, M. E.
- Physical Review Letters, Vol. 88, Issue 5
Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice
journal, August 2007
- Wu, Congjun; Bergman, Doron; Balents, Leon
- Physical Review Letters, Vol. 99, Issue 7
Works referencing / citing this record:
Persistence of the flat band in a kagome magnet with dipolar interactions
journal, October 2017
- Maksymenko, Mykola; Moessner, Roderich; Shtengel, Kirill
- Physical Review B, Vol. 96, Issue 13
Persistence of the flat band in a kagome magnet with dipolar interactions
text, January 2017
- Maksymenko, Mykola; Moessner, Roderich; Shtengel, Kirill
- arXiv
Damped Topological Magnons in the Kagome-Lattice Ferromagnets
journal, October 2016
- Chernyshev, A. L.; Maksimov, P. A.
- Physical Review Letters, Vol. 117, Issue 18
Degenerate and chiral states in the extended Heisenberg model on the kagome lattice
journal, March 2018
- Gómez Albarracín, F. A.; Pujol, P.
- Physical Review B, Vol. 97, Issue 10
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
Magnonic Analogue of Edelstein Effect in Antiferromagnetic Insulators
text, January 2019
- Li, Bo; Mook, Alexander; Raeliarijaona, Aldo
- arXiv
Field-induced dynamical properties of the model on a honeycomb lattice
journal, January 2016
- Maksimov, P. A.; Chernyshev, A. L.
- Physical Review B, Vol. 93, Issue 1
Swedenborgite CaBa(Mn 2 Fe 2 )O 7 with Spin Ordering on a Geometrically Frustrated, Polar, Non-centrosymmetric S = 5/2 Lattice
journal, October 2017
- Valldor, Martin; Yadav, Ravi; Hozoi, Liviu
- Zeitschrift für anorganische und allgemeine Chemie, Vol. 643, Issue 21
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
Magnetic ordering of the cryogenic magnetic cooling mineral gaudefroyite
journal, January 2018
- Li, Rukang; Manuel, Pascal; Orlandi, Fabio
- Journal of Materials Chemistry A, Vol. 6, Issue 42
Magnonic analog of the Edelstein effect in antiferromagnetic insulators
journal, January 2020
- Li, Bo; Mook, Alexander; Raeliarijaona, Aldo
- Physical Review B, Vol. 101, Issue 2
Spin clusters and low-energy excitations in rare earth kagome systems
journal, January 2017
- Hoch, M. J. R.
- Modern Physics Letters B, Vol. 31, Issue 01
Spin Seebeck and spin Nernst effects of magnons in noncollinear antiferromagnetic insulators
journal, September 2019
- Mook, Alexander; Neumann, Robin R.; Henk, Jürgen
- Physical Review B, Vol. 100, Issue 10
Theory of ground states for classical Heisenberg spin systems II
preprint, January 2017
- Schmidt, Heinz-Jürgen
- arXiv
Frustrated two dimensional quantum magnets
text, January 2017
- Schmidt, Burkhard; Thalmeier, Peter
- arXiv
Thermodynamics of the kagome-lattice Heisenberg antiferromagnet with arbitrary spin $S$
text, January 2018
- Müller, P.; Zander, A.; Richter, J.
- arXiv