Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

Comprehensive study of the dynamics of a classical Kitaev spin liquid

Journal Article · · Physical Review. B
 [1];  [2];  [3];  [4];  [5];  [6];  [7];  [8]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Shull-Wollan Center; Univ. of Virginia, Charlottesville, VA (United States)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Shull-Wollan Center
  3. Univ. of Tennessee, Knoxville, TN (United States)
  4. Inst. of Physical and Chemical Research (RIKEN), Wako (Japan). Condensed Matter Theory Lab.
  5. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Shull-Wollan Center; Univ. of Tennessee, Knoxville, TN (United States). Bredesen Center for Interdisciplinary Research and Graduate Education
  6. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  7. Univ. of Virginia, Charlottesville, VA (United States)
  8. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Shull-Wollan Center; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
In this work, we study the spin-S Kitaev model in the classical (S→∞) limit using Monte Carlo simulations combined with semiclassical spin dynamics. We discuss differences and similarities in the dynamical structure factors of the spin-1/2 and the classical Kitaev liquids. The quantum behavior is restricted to low temperatures where a gap protects visons from decohering the system. Once this quantum gap is breached, at low temperatures compared to the coupling constant, significant entropic disorder decoheres the Majorana fermions and the system is described quantitatively by classical dynamics. The low-temperature and low-energy spectrum of the classical model exhibits a finite-energy peak, which is the precursor of the one produced by the Majorana modes of the S=1/2 model. The classical peak is spectrally narrowed compared to the quantum result and can be explained by magnon excitations within fluctuating one-dimensional manifolds (loops). Hence the difference from the classical limit to the quantum limit can be understood by the fractionalization of magnons propagating in one-dimensional manifolds. Moreover, we show that the momentum-space distribution of the low-energy spectral weight of the S=1/2 model follows the momentum-space distribution of zero modes of the classical model.
Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1862163
Alternate ID(s):
OSTI ID: 1398297
Journal Information:
Physical Review. B, Journal Name: Physical Review. B Journal Issue: 13 Vol. 96; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (55)

Anyons in an exactly solved model and beyond journal January 2006
Quantum criticality and universal scaling of a quantum antiferromagnet journal March 2005
Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet journal April 2016
Majorana fermions in the Kitaev quantum spin system α-RuCl3 journal September 2017
Kitaev exchange and field-induced quantum spin-liquid states in honeycomb α-RuCl3 journal November 2016
Operator spectrum and exact exponents of the fully packed loop model journal October 1996
A study of the quantum classical crossover in the spin dynamics of the 2D S = 5/2 antiferromagnet Rb 2 MnF 4 : neutron scattering, computer simulations and analytic theories journal May 2008
Spin- S Kitaev model: Classical ground states, order from disorder, and exact correlation functions journal September 2008
Anomalous dynamical line shapes in a quantum magnet at finite temperature journal January 2012
Finite-temperature phase diagram of the classical Kitaev-Heisenberg model journal July 2013
Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model journal July 2014
Kitaev magnetism in honeycomb RuCl 3 with intermediate spin-orbit coupling journal June 2015
Thermal fractionalization of quantum spins in a Kitaev model: Temperature-linear specific heat and coherent transport of Majorana fermions journal September 2015
Dynamics of fractionalization in quantum spin liquids journal September 2015
Crystal structure and magnetism in α − RuCl 3 : An ab initio study journal April 2016
Challenges in design of Kitaev materials: Magnetic interactions from competing energy scales journal June 2016
Magnetic anisotropy in the Kitaev model systems Na 2 IrO 3 and RuCl 3 journal August 2016
Selection of direction of the ordered moments in Na 2 IrO 3 and α − RuCl 3 journal August 2016
Phase diagram and spin correlations of the Kitaev-Heisenberg model: Importance of quantum effects journal January 2017
Majorana dynamical mean-field study of spin dynamics at finite temperatures in the honeycomb Kitaev model journal July 2017
Unveiling magnetic interactions of ruthenium trichloride via constraining direction of orbital moments: Potential routes to realize a quantum spin liquid journal August 2017
Temperature evolution of spin dynamics in two- and three-dimensional Kitaev models: Influence of fluctuating Z 2 flux journal August 2017
Theoretical investigation of magnetic dynamics in α − RuCl 3 journal September 2017
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
Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 journal July 2010
Spin Waves and Revised Crystal Structure of Honeycomb Iridate Na 2 IrO 3 journal March 2012
Critical Properties of the Kitaev-Heisenberg Model journal November 2012
Zigzag Magnetic Order in the Iridium Oxide Na 2 IrO 3 journal February 2013
Lifetimes of Antiferromagnetic Magnons in Two and Three Dimensions: Experiment, Theory, and Numerics journal July 2013
Stiffness from Disorder in Triangular-Lattice Ising Thin Films journal April 2014
Dynamics of a Two-Dimensional Quantum Spin Liquid: Signatures of Emergent Majorana Fermions and Fluxes journal May 2014
Vaporization of Kitaev Spin Liquids journal November 2014
Low-Energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit journal July 2016
Fractional Spin Fluctuations as a Precursor of Quantum Spin Liquids: Majorana Dynamical Mean-Field Study for the Kitaev Model journal October 2016
From a Quasimolecular Band Insulator to a Relativistic Mott Insulator in t 2 g 5 Systems with a Honeycomb Lattice Structure journal October 2016
Honeycomb-Lattice Heisenberg-Kitaev Model in a Magnetic Field: Spin Canting, Metamagnetism, and Vortex Crystals journal December 2016
Spin-Wave Excitations Evidencing the Kitaev Interaction in Single Crystalline α − RuCl 3 journal March 2017
Spin-Liquid–to–Spin-Liquid Transition in Kitaev Magnets Driven by Fractionalization journal March 2017
Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets journal April 2017
Fully packed loop model on the honeycomb lattice journal February 1994
Exact Results for Spin Dynamics and Fractionalization in the Kitaev Model journal June 2007
The kernel polynomial method journal March 2006
Neutron scattering in the proximate quantum spin liquid α-RuCl 3 journal June 2017
Orbital Order and Fluctuations in Mott Insulators journal January 2005
Neutron scattering in the proximate quantum spin liquid α-RuCl3. text January 2017
Spin-S Kitaev model: Classical Ground States, Order by Disorder and Exact Correlation Functions text January 2008
Critical properties of the Kitaev-Heisenberg model text January 2012
Order-by-disorder and spin-orbital liquids in a distorted Heisenberg-Kitaev model text January 2014
Thermal fractionalization of quantum spins in a Kitaev model: $T$-linear specific heat and coherent transport of Majorana fermions text January 2015
Challenges in Design of Kitaev Materials: Magnetic Interactions from Competing Energy Scales text January 2016
Low-energy Spin Dynamics of the Honeycomb Spin Liquid Beyond the Kitaev Limit text January 2016
Honeycomb-lattice Heisenberg-Kitaev model in a magnetic field: Spin canting, metamagnetism, and vortex crystals text January 2016
Anyons in an exactly solved model and beyond text January 2005
Exact results for spin dynamics and fractionization in the Kitaev Model text January 2006

Cited By (13)

Seeing beyond the light: Vison and photon electrodynamics in quantum spin ice journal July 2019
Spin-liquid-like state in pure and Mn-doped TbInO 3 with a nearly triangular lattice journal July 2019
Interlayer coupling effect on a bilayer Kitaev model journal March 2018
Classical and quantum spin dynamics of the honeycomb Γ model journal July 2018
Probing α − RuCl 3 Beyond Magnetic Order: Effects of Temperature and Magnetic Field journal February 2018
Dynamical Structure Factor of the Three-Dimensional Quantum Spin Liquid Candidate NaCaNi 2 F 7 journal April 2019
Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange journal June 2019
Microscopic Mechanism for a Higher-Spin Kitaev Model journal July 2019
Nonequilibrium Majorana dynamics by quenching a magnetic field in Kitaev spin liquids journal October 2019
Excitations in the field-induced quantum spin liquid state of α-RuCl3 text January 2018
Interlayer Coupling Effect on a Bilayer Kitaev Model text January 2017
Microscopic mechanism for higher-spin Kitaev model text January 2019
Nonequilibrium Majorana Dynamics by Quenching a Magnetic Field in Kitaev Spin Liquids text January 2019

Similar Records

Quasiparticle Interference in Kitaev Quantum Spin Liquids
Journal Article · Mon Mar 24 20:00:00 EDT 2025 · Physical Review Letters · OSTI ID:2586961

Analytic calculation of the vison gap in the Kitaev spin liquid
Journal Article · Sun Jul 30 20:00:00 EDT 2023 · Physical Review. B · OSTI ID:1992851

Vacancy Spectroscopy of Non-Abelian Kitaev Spin Liquids
Journal Article · Thu Mar 28 20:00:00 EDT 2024 · Physical Review Letters · OSTI ID:2373007