Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet
Abstract
We present a unified description of the response of the hyperhoneycomb Kitaev magnet β–Li2IrO3 to applied magnetic fields along the orthorhombic directions a, b, and c. This description is based on the minimal nearest-neighbor J–K–Γ model and builds on the idea that the incommensurate counter-rotating order observed experimentally at zero field can be treated as a long-distance twisting of a nearby commensurate order with six spin sublattices. The results reveal that the behavior of the system for H∥a, H∥b, and H∥c share a number of qualitative features, including (i) a strong intertwining of the modulated, counter-rotating order with a set of uniform orders; (ii) the disappearance of the modulated order at a critical field H*, whose value is strongly anisotropic with $H$ $$^{*}_{b}$$ < $H$ $$^{*}_{c}$$ << $H$ $$^{*}_{a}$$; (iii) the presence of a robust zigzag phase above H*; and (iv) the fulfillment of the Bragg peak intensity sum rule. It is noteworthy that the disappearance of the modulated order for H∥c proceeds via a “metamagnetic” first-order transition which does not restore all broken symmetries. This implies the existence of a second finite-T phase transition at higher magnetic fields. We also demonstrate that quantum fluctuations give rise to a significant reduction of the local moments for all directions of the field. The results for the total magnetization for H∥b are consistent with available data and confirm a previous assertion that the system is very close to the highly frustrated K–Γ line in parameter space. Our predictions for the magnetic response for fields along a and c await experimental verification.
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
- OSTI Identifier:
- 1593185
- Alternate Identifier(s):
- OSTI ID: 1637704
- Grant/Contract Number:
- SC0018056; PHY-1607611
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Research
- Additional Journal Information:
- Journal Name: Physical Review Research Journal Volume: 2 Journal Issue: 1; Journal ID: ISSN 2643-1564
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Holstein-Primakoff method; Landau-Lifschitz-Gilbert equation; Monte Carlo methods
Citation Formats
Li, Mengqun, Rousochatzakis, Ioannis, and Perkins, Natalia B. Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet β − Li 2 IrO 3. United States: N. p., 2020.
Web. doi:10.1103/PhysRevResearch.2.013065.
Li, Mengqun, Rousochatzakis, Ioannis, & Perkins, Natalia B. Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet β − Li 2 IrO 3. United States. doi:10.1103/PhysRevResearch.2.013065.
Li, Mengqun, Rousochatzakis, Ioannis, and Perkins, Natalia B. Wed .
"Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet β − Li 2 IrO 3". United States. doi:10.1103/PhysRevResearch.2.013065.
@article{osti_1593185,
title = {Unconventional magnetic field response of the hyperhoneycomb Kitaev magnet β − Li 2 IrO 3},
author = {Li, Mengqun and Rousochatzakis, Ioannis and Perkins, Natalia B.},
abstractNote = {We present a unified description of the response of the hyperhoneycomb Kitaev magnet β–Li2IrO3 to applied magnetic fields along the orthorhombic directions a, b, and c. This description is based on the minimal nearest-neighbor J–K–Γ model and builds on the idea that the incommensurate counter-rotating order observed experimentally at zero field can be treated as a long-distance twisting of a nearby commensurate order with six spin sublattices. The results reveal that the behavior of the system for H∥a, H∥b, and H∥c share a number of qualitative features, including (i) a strong intertwining of the modulated, counter-rotating order with a set of uniform orders; (ii) the disappearance of the modulated order at a critical field H*, whose value is strongly anisotropic with $H$ $^{*}_{b}$ < $H$ $^{*}_{c}$ << $H$ $^{*}_{a}$; (iii) the presence of a robust zigzag phase above H*; and (iv) the fulfillment of the Bragg peak intensity sum rule. It is noteworthy that the disappearance of the modulated order for H∥c proceeds via a “metamagnetic” first-order transition which does not restore all broken symmetries. This implies the existence of a second finite-T phase transition at higher magnetic fields. We also demonstrate that quantum fluctuations give rise to a significant reduction of the local moments for all directions of the field. The results for the total magnetization for H∥b are consistent with available data and confirm a previous assertion that the system is very close to the highly frustrated K–Γ line in parameter space. Our predictions for the magnetic response for fields along a and c await experimental verification.},
doi = {10.1103/PhysRevResearch.2.013065},
journal = {Physical Review Research},
number = 1,
volume = 2,
place = {United States},
year = {2020},
month = {1}
}
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DOI: 10.1103/PhysRevResearch.2.013065
DOI: 10.1103/PhysRevResearch.2.013065
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Works referenced in this record:
Field-induced quantum criticality in the Kitaev system
journal, July 2017
- Wolter, A. U. B.; Corredor, L. T.; Janssen, L.
- Physical Review B, Vol. 96, Issue 4
Breakdown of magnons in a strongly spin-orbital coupled magnet
journal, October 2017
- Winter, Stephen M.; Riedl, Kira; Maksimov, Pavel A.
- Nature Communications, Vol. 8, Issue 1
Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb
journal, May 2016
- Williams, S. C.; Johnson, R. D.; Freund, F.
- Physical Review B, Vol. 93, Issue 19
Pressure tuning of bond-directional exchange interactions and magnetic frustration in the hyperhoneycomb iridate
journal, October 2017
- Veiga, L. S. I.; Etter, M.; Glazyrin, K.
- Physical Review B, Vol. 96, Issue 14
Single crystal growth from separated educts and its application to lithium transition-metal oxides
journal, October 2016
- Freund, F.; Williams, S. C.; Johnson, R. D.
- Scientific Reports, Vol. 6, Issue 1
Classification of gapless spin liquids in three-dimensional Kitaev models
journal, February 2016
- O'Brien, Kevin; Hermanns, Maria; Trebst, Simon
- Physical Review B, Vol. 93, Issue 8
Pressure-induced collapse of the spin-orbital Mott state in the hyperhoneycomb iridate
journal, March 2019
- Takayama, T.; Krajewska, A.; Gibbs, A. S.
- Physical Review B, Vol. 99, Issue 12
Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet
journal, March 2018
- Ducatman, Samuel; Rousochatzakis, Ioannis; Perkins, Natalia B.
- Physical Review B, Vol. 97, Issue 12
Chiral magnetism and helimagnons in a pyrochlore antiferromagnet
journal, February 2013
- Choi, Eunsong; Chern, Gia-Wei; Perkins, Natalia B.
- Physical Review B, Vol. 87, Issue 5
Unconventional magnetic order on the hyperhoneycomb Kitaev lattice in : Full solution via magnetic resonant x-ray diffraction
journal, November 2014
- Biffin, A.; Johnson, R. D.; Choi, Sungkyun
- Physical Review B, Vol. 90, Issue 20
Exactly solvable Kitaev model in three dimensions
journal, January 2009
- Mandal, Saptarshi; Surendran, Naveen
- Physical Review B, Vol. 79, Issue 2
Robust spin correlations at high magnetic fields in the harmonic honeycomb iridates
journal, August 2017
- Modic, K. A.; Ramshaw, B. J.; Betts, J. B.
- Nature Communications, Vol. 8, Issue 1
Models and materials for generalized Kitaev magnetism
journal, November 2017
- Winter, Stephen M.; Tsirlin, Alexander A.; Daghofer, Maria
- Journal of Physics: Condensed Matter, Vol. 29, Issue 49
Kitaev interactions between j = 1/2 moments in honeycomb Na 2 IrO 3 are large and ferromagnetic: insights from ab initio quantum chemistry calculations
journal, January 2014
- Katukuri, Vamshi M.; Nishimoto, S.; Yushankhai, V.
- New Journal of Physics, Vol. 16, Issue 1
Evidence for a Field-Induced Quantum Spin Liquid in -
journal, July 2017
- Baek, S. -H.; Do, S. -H.; Choi, K. -Y.
- Physical Review Letters, Vol. 119, Issue 3
Theory of magnetic phase diagrams in hyperhoneycomb and harmonic-honeycomb iridates
journal, February 2015
- Lee, Eric Kin-Ho; Kim, Yong Baek
- Physical Review B, Vol. 91, Issue 6
Noncoplanar and Counterrotating Incommensurate Magnetic Order Stabilized by Kitaev Interactions in
journal, November 2014
- Biffin, A.; Johnson, R. D.; Kimchi, I.
- Physical Review Letters, Vol. 113, Issue 19
Gapless Spin Excitations in the Field-Induced Quantum Spin Liquid Phase of
journal, December 2017
- Zheng, Jiacheng; Ran, Kejing; Li, Tianrun
- Physical Review Letters, Vol. 119, Issue 22
Sawtooth Torque in Anisotropic j eff = 1 / 2 Magnets: Application to α − RuCl 3
journal, May 2019
- Riedl, Kira; Li, Ying; Winter, Stephen M.
- Physical Review Letters, Vol. 122, Issue 19
Anisotropic magnetism in the honeycomb system: Susceptibility, specific heat, and zero-field NMR
journal, May 2015
- Majumder, M.; Schmidt, M.; Rosner, H.
- Physical Review B, Vol. 91, Issue 18
A spin–orbital-entangled quantum liquid on a honeycomb lattice
journal, February 2018
- Kitagawa, K.; Takayama, T.; Matsumoto, Y.
- Nature, Vol. 554, Issue 7692
: A spin-orbit assisted Mott insulator on a honeycomb lattice
journal, July 2014
- Plumb, K. W.; Clancy, J. P.; Sandilands, L. J.
- Physical Review B, Vol. 90, Issue 4
Quantum spin liquid in the semiclassical regime
journal, April 2018
- Rousochatzakis, Ioannis; Sizyuk, Yuriy; Perkins, Natalia B.
- Nature Communications, Vol. 9, Issue 1
Monte Carlo Simulation in Statistical Physics
journal, January 1993
- Binder, K.; Heermann, D.; Roelofs, Lyle
- Computers in Physics, Vol. 7, Issue 2
Overrelaxation and Monte Carlo simulation
journal, July 1987
- Creutz, Michael
- Physical Review D, Vol. 36, Issue 2
Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides
journal, July 2010
- Chaloupka, Jiří; Jackeli, George; Khaliullin, Giniyat
- Physical Review Letters, Vol. 105, Issue 2
Equation of State Calculations by Fast Computing Machines
journal, June 1953
- Metropolis, Nicholas; Rosenbluth, Arianna W.; Rosenbluth, Marshall N.
- The Journal of Chemical Physics, Vol. 21, Issue 6
Three-dimensional quantum spin liquids in models of harmonic-honeycomb iridates and phase diagram in an infinite- approximation
journal, November 2014
- Kimchi, Itamar; Analytis, James G.; Vishwanath, Ashvin
- Physical Review B, Vol. 90, Issue 20
Realization of a three-dimensional spin–anisotropic harmonic honeycomb iridate
journal, June 2014
- Modic, K. A.; Smidt, Tess E.; Kimchi, Itamar
- Nature Communications, Vol. 5, Issue 1
Finite-temperature phase diagram of the classical Kitaev-Heisenberg model
journal, July 2013
- Price, Craig; Perkins, Natalia B.
- Physical Review B, Vol. 88, Issue 2
Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets
journal, April 2017
- Rousochatzakis, Ioannis; Perkins, Natalia B.
- Physical Review Letters, Vol. 118, Issue 14
Concept and realization of Kitaev quantum spin liquids
journal, March 2019
- Takagi, Hidenori; Takayama, Tomohiro; Jackeli, George
- Nature Reviews Physics, Vol. 1, Issue 4
Monoclinic crystal structure of and the zigzag antiferromagnetic ground state
journal, December 2015
- Johnson, R. D.; Williams, S. C.; Haghighirad, A. A.
- Physical Review B, Vol. 92, Issue 23
Anyons in an exactly solved model and beyond
journal, January 2006
- Kitaev, Alexei
- Annals of Physics, Vol. 321, Issue 1
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials
journal, March 2016
- Rau, Jeffrey G.; Lee, Eric Kin-Ho; Kee, Hae-Young
- Annual Review of Condensed Matter Physics, Vol. 7, Issue 1
Anisotropic susceptibilities in the honeycomb Kitaev system
journal, September 2018
- Lampen-Kelley, P.; Rachel, S.; Reuther, J.
- Physical Review B, Vol. 98, Issue 10
Heisenberg–Kitaev physics in magnetic fields
journal, July 2019
- Janssen, Lukas; Vojta, Matthias
- Journal of Physics: Condensed Matter, Vol. 31, Issue 42
Magnetic order in : A honeycomb-lattice quantum magnet with strong spin-orbit coupling
journal, April 2015
- Sears, J. A.; Songvilay, M.; Plumb, K. W.
- Physical Review B, Vol. 91, Issue 14
Kitaev-Heisenberg model in a magnetic field: Order-by-disorder and commensurate-incommensurate transitions
journal, April 2017
- Chern, Gia-Wei; Sizyuk, Yuriy; Price, Craig
- Physical Review B, Vol. 95, Issue 14
Anisotropic temperature-field phase diagram of single crystalline : Magnetization, specific heat, and NMR study
journal, July 2019
- Majumder, M.; Freund, F.; Dey, T.
- Physical Review Materials, Vol. 3, Issue 7
Physics of the Kitaev Model: Fractionalization, Dynamic Correlations, and Material Connections
journal, March 2018
- Hermanns, M.; Kimchi, I.; Knolle, J.
- Annual Review of Condensed Matter Physics, Vol. 9, Issue 1
Hyperhoneycomb Iridate as a Platform for Kitaev Magnetism
journal, February 2015
- Takayama, T.; Kato, A.; Dinnebier, R.
- Physical Review Letters, Vol. 114, Issue 7
Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
journal, July 2018
- Kasahara, Y.; Ohnishi, T.; Mizukami, Y.
- Nature, Vol. 559, Issue 7713
Generic Spin Model for the Honeycomb Iridates beyond the Kitaev Limit
journal, February 2014
- Rau, Jeffrey G.; Lee, Eric Kin-Ho; Kee, Hae-Young
- Physical Review Letters, Vol. 112, Issue 7
Resonant x-ray scattering reveals possible disappearance of magnetic order under hydrostatic pressure in the Kitaev candidate
journal, July 2017
- Breznay, Nicholas P.; Ruiz, Alejandro; Frano, Alex
- Physical Review B, Vol. 96, Issue 2
Hunting Majorana Fermions in Kitaev Magnets
journal, January 2020
- Motome, Yukitoshi; Nasu, Joji
- Journal of the Physical Society of Japan, Vol. 89, Issue 1
Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates
journal, March 2012
- Singh, Yogesh; Manni, S.; Reuther, J.
- Physical Review Letters, Vol. 108, Issue 12
Chiral spin order in some purported Kitaev spin-liquid compounds
journal, November 2018
- Modic, K. A.; Ramshaw, B. J.; Shekhter, A.
- Physical Review B, Vol. 98, Issue 20
Collective spin dynamics of Z 2 vortex crystals in triangular Kitaev-Heisenberg antiferromagnets
journal, August 2019
- Li, Mengqun; Perkins, Natalia B.; Rousochatzakis, Ioannis
- Physical Review Research, Vol. 1, Issue 1
Critical Properties of the Kitaev-Heisenberg Model
journal, November 2012
- Price, Craig C.; Perkins, Natalia B.
- Physical Review Letters, Vol. 109, Issue 18
Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for and
journal, August 2017
- Janssen, Lukas; Andrade, Eric C.; Vojta, Matthias
- Physical Review B, Vol. 96, Issue 6
Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na IrO
journal, May 2012
- Ye, Feng; Chi, Songxue; Cao, Huibo
- Physical Review B, Vol. 85, Issue 18
Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material
journal, August 2010
- Singh, Yogesh; Gegenwart, P.
- Physical Review B, Vol. 82, Issue 6
Quantum spin liquid at finite temperature: Proximate dynamics and persistent typicality
journal, July 2019
- Rousochatzakis, I.; Kourtis, S.; Knolle, J.
- Physical Review B, Vol. 100, Issue 4
Helimagnons in a chiral ground state of the pyrochlore antiferromagnets
journal, February 2013
- Choi, Eunsong; Chern, Gia-Wei; Perkins, Natalia B.
- EPL (Europhysics Letters), Vol. 101, Issue 3
Correlated states in β-Li2IrO3 driven by applied magnetic fields
journal, October 2017
- Ruiz, Alejandro; Frano, Alex; Breznay, Nicholas P.
- Nature Communications, Vol. 8, Issue 1
Two iridates, two models, and two approaches: A comparative study on magnetism in three-dimensional honeycomb materials
journal, May 2016
- Lee, Eric Kin-Ho; Rau, Jeffrey G.; Kim, Yong Baek
- Physical Review B, Vol. 93, Issue 18
Revealing frustrated local moment model for pressurized hyperhoneycomb iridate: Paving the way toward a quantum spin liquid
journal, December 2016
- Kim, Heung-Sik; Kim, Yong Baek; Kee, Hae-Young
- Physical Review B, Vol. 94, Issue 24
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models
journal, January 2009
- Jackeli, G.; Khaliullin, G.
- Physical Review Letters, Vol. 102, Issue 1
Magnetic field induced evolution of intertwined orders in the Kitaev magnet
journal, May 2018
- Rousochatzakis, Ioannis; Perkins, Natalia B.
- Physical Review B, Vol. 97, Issue 17
Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3
journal, May 2015
- Hwan Chun, Sae; Kim, Jong-Woo; Kim, Jungho
- Nature Physics, Vol. 11, Issue 6
Long-range magnetic ordering in Na IrO
journal, June 2011
- Liu, X.; Berlijn, T.; Yin, W. -G.
- Physical Review B, Vol. 83, Issue 22
Choosing a Point from the Surface of a Sphere
journal, April 1972
- Marsaglia, George
- The Annals of Mathematical Statistics, Vol. 43, Issue 2
Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals
journal, December 2016
- Janssen, Lukas; Andrade, Eric C.; Vojta, Matthias
- Physical Review Letters, Vol. 117, Issue 27