skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum spin liquid in the semiclassical regime

Journal Article · · Nature Communications

Quantum spin liquids (QSLs) have been at the forefront of correlated electron research ever since their proposal in 1973, and the realization that they belong to the broader class of intrinsic topological orders. According to received wisdom, QSLs can arise in frustrated magnets with low spin S, where strong quantum fluctuations act to destabilize conventional, magnetically ordered states. In this work, we present a Z2 QSL ground state that appears already in the semiclassical, large-S limit. This state has both topological and symmetry-related ground-state degeneracy, and two types of gaps, a “magnetic flux” gap that scales linearly with S and an “electric charge” gap that drops exponentially in S. The magnet is the spin-S version of the spin-1/2 Kitaev honeycomb model, which has been the subject of intense studies in correlated electron systems with strong spin–orbit coupling, and in optical lattice realizations with ultracold atoms.

Research Organization:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
SC0018056
OSTI ID:
1513275
Journal Information:
Nature Communications, Vol. 9, Issue 1; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 22 works
Citation information provided by
Web of Science

References (75)

Phase diagram of a frustrated quantum antiferromagnet on the honeycomb lattice: Magnetic order versus valence-bond crystal formation journal July 2011
Field Theories of Condensed Matter Physics book January 2013
Phenomenological Z 2 lattice gauge theory of the spin-liquid state of the kagome Heisenberg antiferromagnet journal March 2013
Possible Néel orderings of the Kagomé antiferromagnet journal February 1992
Dimer Statistics and Phase Transitions journal February 1963
Spiral order by disorder and lattice nematic order in a frustrated Heisenberg antiferromagnet on the honeycomb lattice journal June 2010
Correlated Quantum Phenomena in the Strong Spin-Orbit Regime journal March 2014
Kitaev honeycomb and other exotic spin models with polar molecules journal June 2013
Quantum order by disorder in the Kitaev model on a triangular lattice journal November 2015
Structure and basic magnetic properties of the honeycomb lattice compounds Na2Co2TeO6 and Na3Co2SbO6 journal March 2007
Quantum spin liquids: a review journal November 2016
Phase Diagram of an Extended Quantum Dimer Model on the Hexagonal Lattice journal November 2015
Equivalence of the resonating-valence-bond and fractional quantum Hall states journal November 1987
Field Dependence of the Intrinsic Domain Magnetization of a Ferromagnet journal December 1940
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet journal April 2011
Identifying topological order by entanglement entropy journal November 2012
Quantum spin liquid states journal April 2017
Spin- S Kitaev model: Classical ground states, order from disorder, and exact correlation functions journal September 2008
Order from disorder in a kagomé antiferromagnet journal August 1992
Phase diagram of the hexagonal lattice quantum dimer model journal September 2001
Deconfined Criticality in the Frustrated Heisenberg Honeycomb Antiferromagnet journal March 2013
Destroying a topological quantum bit by condensing Ising vortices journal December 2014
Weak Plaquette Valence Bond Order in the S = 1 / 2 Honeycomb J 1 J 2 Heisenberg Model journal March 2013
Frustration and Dzyaloshinsky-Moriya anisotropy in the kagome francisites Cu 3 Bi ( SeO 3 ) 2 O 2 X   ( X   =   Br ,   Cl ) journal January 2015
Dimers on Two-Dimensional Lattices journal December 2006
Exact Results for Spin Dynamics and Fractionalization in the Kitaev Model journal June 2007
Kagome´- and triangular-lattice Heisenberg antiferromagnets: Ordering from quantum fluctuations and quantum-disordered ground states with unconfined bosonic spinons journal June 1992
Kitaev-Heisenberg Model on a Honeycomb Lattice: Possible Exotic Phases in Iridium Oxides A 2 IrO 3 journal July 2010
Colorings of a Hexagonal Lattice journal March 1970
Theory of Adiabatic Nuclear Magnetic Ordering in Cu journal August 1988
Quantum Selection of Order in an X X Z Antiferromagnet on a Kagome Lattice journal December 2014
Classical Spin Liquid Instability Driven By Off-Diagonal Exchange in Strong Spin-Orbit Magnets journal April 2017
Anyons in an exactly solved model and beyond journal January 2006
Spin liquids in frustrated magnets journal March 2010
Quantum compass model on the square lattice journal July 2005
Magnetic properties of the honeycomb oxide Na 2 Co 2 TeO 6 journal December 2016
Duality in Generalized Ising Models and Phase Transitions without Local Order Parameters journal October 1971
A toolbox for lattice-spin models with polar molecules journal April 2006
Microscopic theory of the nearest-neighbor valence bond sector of the spin- 1 2 kagome antiferromagnet journal March 2018
Chiral spin states and superconductivity journal June 1989
Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories journal December 2001
An introduction to lattice gauge theory and spin systems journal October 1979
Quantum Dimer Model on the Kagome Lattice: Solvable Dimer-Liquid and Ising Gauge Theory journal September 2002
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices journal August 2003
Quantum dimer model for the spin- 1 2 kagome Z 2 spin liquid journal September 2014
Topological phases in ultracold polar-molecule quantum magnets journal February 2013
Quantum simulation of the hexagonal Kitaev model with trapped ions journal November 2011
Z 2 gauge theory for valence bond solids on the kagome lattice journal November 2015
String-net condensation: A physical mechanism for topological phases journal January 2005
Superconductivity and the Quantum Hard-Core Dimer Gas journal November 1988
On the ground state properties of the anisotropic triangular antiferromagnet journal August 1974
Order from disorder: Quantum spin gap in magnon spectra of LaTiO 3 journal November 2001
Implementing a topological quantum model using a cavity lattice journal July 2012
Resonating valence bonds: A new kind of insulator? journal February 1973
Fault-tolerant quantum computation by anyons journal January 2003
Generalized Elitzur’s theorem and dimensional reductions journal July 2005
Quantum emulation of a spin system with topologically protected ground states using superconducting quantum circuits journal January 2010
Impossibility of spontaneously breaking local symmetries journal December 1975
Selection of the ground state in type-I fcc antiferromagnets in an external magnetic field journal September 1993
Possible spin-liquid state at large S for the frustrated square Heisenberg lattice journal November 1988
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models journal January 2009
Nature of the Spin-Liquid Ground State of the S = 1 / 2 Heisenberg Model on the Kagome Lattice journal August 2012
Structure and Basic Magnetic Properties of the Honeycomb Lattice Compounds Na2Co2TeO6 and Na3Co2SbO6. journal December 2007
Generalized hard-core dimer model approach to low-energy Heisenberg frustrated antiferromagnets: General properties and application to the kagome antiferromagnet journal June 2010
Classical Heisenberg spins on a hexagonal lattice with Kitaev couplings journal September 2010
Quantum simulation of the hexagonal Kitaev model with trapped ions text January 2011
Identifying Topological Order by Entanglement Entropy text January 2012
Kitaev honeycomb and other exotic spin models with polar molecules text January 2013
Correlated quantum phenomena in the strong spin-orbit regime text January 2013
Quantum Spin Liquid States text January 2016
Quantum dimer model on the kagome lattice: solvable dimer liquid and Ising gauge theory text January 2002
Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices text January 2002
The Quantum Compass Model on the Square Lattice text January 2005
Anyons in an exactly solved model and beyond text January 2005
A toolbox for lattice spin models with polar molecules text January 2005

Cited By (7)

Concept and realization of Kitaev quantum spin liquids journal March 2019
The complex non-collinear magnetic orderings in Ba 2 YOsO 6 : a new approach to tuning spin-lattice interactions and controlling magnetic orderings in frustrated complex oxides journal August 2019
Incipient and well-developed entropy plateaus in spin- S Kitaev models journal December 2018
Hidden Plaquette Order in a Classical Spin Liquid Stabilized by Strong Off-Diagonal Exchange journal June 2019
Incipient and well-developed entropy plateaus in spin-S Kitaev models text January 2018
Kitaev-like honeycomb magnets: Global phase behavior and emergent effective models text January 2019
Plaquette order in classical spin liquid stabilized by strong off-diagonal exchange text January 2018

Figures / Tables (9)


Similar Records

Concept and realization of Kitaev quantum spin liquids
Journal Article · Mon Mar 25 00:00:00 EDT 2019 · Nature Reviews Physics · OSTI ID:1513275

Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet
Journal Article · Mon Apr 04 00:00:00 EDT 2016 · Nature Materials · OSTI ID:1513275

Quantum-classical crossover in the spin- 1 2 Heisenberg-Kitaev kagome magnet
Journal Article · Fri Aug 07 00:00:00 EDT 2020 · Physical Review Research · OSTI ID:1513275