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Title: Complex orders and chirality in the classical Kitaev-Γ model

Journal Article · · Physical Review. B
 [1];  [1]; ORCiD logo [2]; ORCiD logo [3]
  1. University of Minnesota, Minneapolis, MN (United States)
  2. Loughborough University (United Kingdom)
  3. University of Minnesota, Minneapolis, MN (United States); Technical University of Munich, Garching (Germany)
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It is well recognized that the low-energy physics of many Kitaev materials is governed by two dominant energy scales, the Ising-type Kitaev coupling 𝐾 and the symmetric off-diagonal Γ coupling. An understanding of the interplay between these two scales is therefore the natural starting point toward a quantitative description that includes subdominant perturbations that are inevitably present in real materials. This study focuses on the classical 𝐾−Γ model on the honeycomb lattice, with a specific emphasis on the region 𝐾< 0 and Γ > 0 , which is the most relevant for the available materials and which remains enigmatic in both quantum and classical limits, despite much effort. We employ large-scale Monte Carlo simulations on specially designed finite-size clusters and unravel the presence of a complex multisublattice magnetic order in a wide region of the phase diagram, whose structure is characterized in detail. We show that this order can be quantified in terms of a coarse-grained scalar-chirality order, featuring a counterrotating modulation on the two spin sublattices. Here, we also provide a comparison to previous studies and discuss the impact of quantum fluctuations on the phase diagram.

Research Organization:
University of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); Engineering and Physical Sciences Research Council; National Science Foundation (NSF)
Grant/Contract Number:
SC0018056
OSTI ID:
2896338
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 21 Vol. 110; ISSN 2469-9969; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (56)

Kitaev Magnetism through the Prism of Lithium Iridate journal July 2021
Defect concepts for vector spin glasses journal September 1984
Anyons in an exactly solved model and beyond journal January 2006
Kitaev materials journal March 2022
Direct evidence for dominant bond-directional interactions in a honeycomb lattice iridate Na2IrO3 journal May 2015
Quantum spin liquid in the semiclassical regime journal April 2018
Theory of the field-revealed Kitaev spin liquid journal June 2019
Concept and realization of Kitaev quantum spin liquids journal March 2019
Commensurate phases, incommensurate phases and the devil's staircase journal June 1982
Models and materials for generalized Kitaev magnetism journal November 2017
Beyond Kitaev physics in strong spin-orbit coupled magnets journal February 2024
Triple-meron crystal in high-spin Kitaev magnets journal February 2023
Ground-state properties of the K−Γ model on a honeycomb lattice journal July 2020
Topological magnons for thermal Hall transport in frustrated magnets with bond-dependent interactions journal May 2021
Functional renormalization group study of the Kitaev- Γ model on the honeycomb lattice and emergent incommensurate magnetic correlations journal May 2021
Extent of frustration in the classical Kitaev- Γ model via bond anisotropy journal September 2021
Spin excitation continuum to topological magnon crossover and thermal Hall conductivity in Kitaev magnets journal May 2023
Theory of discommensurations and the commensurate-incommensurate charge-density-wave phase transition journal August 1976
Phase diagrams of systems exhibiting incommensurate structures journal November 1985
Spin- S Kitaev model: Classical ground states, order from disorder, and exact correlation functions journal September 2008
Antiferromagnetic Mott insulating state in single crystals of the honeycomb lattice material Na 2 IrO 3 journal August 2010
Direct evidence of a zigzag spin-chain structure in the honeycomb lattice: A neutron and x-ray diffraction investigation of single-crystal Na 2 IrO 3 journal May 2012
α − RuCl 3 : A spin-orbit assisted Mott insulator on a honeycomb lattice journal July 2014
Importance of anisotropic exchange interactions in honeycomb iridates: Minimal model for zigzag antiferromagnetic order in Na 2 IrO 3 journal October 2014
Magnetic order in α − RuCl 3 : A honeycomb-lattice quantum magnet with strong spin-orbit coupling journal April 2015
Anisotropic Ru 3 +   4 d 5 magnetism in the α − RuCl 3 honeycomb system: Susceptibility, specific heat, and zero-field NMR journal May 2015
Hidden symmetries of the extended Kitaev-Heisenberg model: Implications for the honeycomb-lattice iridates A 2 IrO 3 journal July 2015
Incommensurate counterrotating magnetic order stabilized by Kitaev interactions in the layered honeycomb α − Li 2 IrO 3 journal May 2016
Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales journal June 2016
Magnetization processes of zigzag states on the honeycomb lattice: Identifying spin models for α − RuCl 3 and Na 2 IrO 3 journal August 2017
Comprehensive study of the dynamics of a classical Kitaev spin liquid journal October 2017
Quantum spin liquid signatures in Kitaev-like frustrated magnets journal February 2018
Magnetic structure and excitation spectrum of the hyperhoneycomb Kitaev magnet β − Li 2 IrO 3 journal March 2018
Classical and quantum spin dynamics of the honeycomb Γ model journal July 2018
Confinement transition in a Kitaev-like honeycomb model with bond anisotropy journal March 2019
Impossibility of spontaneously breaking local symmetries journal December 1975
Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings journal September 2010
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models journal January 2009
Hall Effect of Spin Waves in Frustrated Magnets journal July 2009
Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 journal July 2010
Relevance of the Heisenberg-Kitaev Model for the Honeycomb Lattice Iridates A 2 IrO 3 journal March 2012
Spin Waves and Revised Crystal Structure of Honeycomb Iridate Na 2 IrO 3 journal March 2012
Zigzag Magnetic Order in the Iridium Oxide Na 2 IrO 3 journal February 2013
Generic Spin Model for the Honeycomb Iridates beyond the Kitaev Limit journal February 2014
Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets journal April 2017
Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange journal June 2019
Sign Structure of Thermal Hall Conductivity and Topological Magnons for In-Plane Field Polarized Kitaev Magnets journal April 2021
Magnetic field induced competing phases in spin-orbital entangled Kitaev magnets journal January 2020
Rethinking α − RuCl 3 journal July 2020
Emergence of nematic paramagnet via quantum order-by-disorder and pseudo-Goldstone modes in Kitaev magnets journal October 2020
Revealing the phase diagram of Kitaev materials by machine learning: Cooperation and competition between spin liquids journal April 2021
Machine-learned phase diagrams of generalized Kitaev honeycomb magnets journal September 2021
Phase Diagram and Quantum Order by Disorder in the Kitaev K 1 − K 2 Honeycomb Magnet journal December 2015
Correlated Quantum Phenomena in the Strong Spin-Orbit Regime journal March 2014
Spin-Orbit Physics Giving Rise to Novel Phases in Correlated Systems: Iridates and Related Materials journal March 2016
Spin–Orbit-Entangled Electronic Phases in 4d and 5d Transition-Metal Compounds journal June 2021

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Chirality
Kitaev magnet
Kitaev model
Magnetism
Monte Carlo methods