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Title: Emergence of chiral spin liquids via quantum melting of noncoplanar magnetic orders

Journal Article · · Physical Review B
 [1]; ORCiD logo [2];  [3];  [4]
  1. Univ. of Toronto, ON (Canada). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  3. Univ. of Leeds (United Kingdom). School of Physics and Astronomy
  4. Univ. of Toronto, ON (Canada). Dept. of Physics; Canadian Inst. for Advanced Research, Toronto, ON (Canada)

Quantum spin liquids (QSLs) are highly entangled states of quantum magnets which lie beyond the Landau paradigm of classifying phases of matter via broken symmetries. A physical route to arriving at QSLs is via frustration-induced quantum melting of ordered states such as valence bond crystals or magnetic orders. Using extensive exact diagonalization (ED) and density-matrix renormalization group (DMRG)we show studies of concrete S U ( 2 ) invariant spin models on honeycomb, triangular, and square lattices, that chiral spin liquids (CSLs) emerge as descendants of triple- Q spin crystals with tetrahedral magnetic order and a large scalar spin chirality. Such ordered-to-CSL melting transitions may yield lattice realizations of effective Chern-Simons-Higgs field theories. We provides a distinct unifying perspective on the emergence of CSLs and suggests that materials with certain noncoplanar magnetic orders might provide a good starting point to search for CSLs.

Research Organization:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1406220
Alternate ID(s):
OSTI ID: 1389112
Report Number(s):
LA-UR-17-23909; PRBMDO; TRN: US1703259
Journal Information:
Physical Review B, Vol. 96, Issue 11; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (59)

Nature of chiral spin liquids on the kagome lattice journal September 2015
Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice journal October 1994
Variational Monte Carlo study of a chiral spin liquid in the extended Heisenberg model on the kagome lattice journal January 2015
Parent Hamiltonian for the non-Abelian chiral spin liquid journal April 2014
Spectrum of conformal gauge theories on a torus journal May 2017
Emergent Chiral Spin Liquid: Fractional Quantum Hall Effect in a Kagome Heisenberg Model journal September 2014
Parent Hamiltonian for the chiral spin liquid journal September 2009
Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling journal July 2016
Quantum spin liquids: a review journal November 2016
Gapless chiral spin liquid in a kagome Heisenberg model journal August 2015
Chiral Spin Liquid in a Frustrated Anisotropic Kagome Heisenberg Model journal April 2014
Equivalence of the resonating-valence-bond and fractional quantum Hall states journal November 1987
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model journal February 2001
Quantum spin liquid states journal April 2017
Lattice spin models for non-Abelian chiral spin liquids journal April 2017
Density-matrix algorithms for quantum renormalization groups journal October 1993
Applying matrix product operators to model systems with long-range interactions journal July 2008
Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice journal August 2016
Chiral topological spin liquids with projected entangled pair states journal June 2015
A practical introduction to tensor networks: Matrix product states and projected entangled pair states journal October 2014
Density matrix formulation for quantum renormalization groups journal November 1992
Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model journal December 2010
Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid journal April 2016
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach journal September 2012
Ground state overlap and quantum phase transitions journal September 2006
Microscopic model for the boson integer quantum Hall effect journal October 2013
Quasiparticle statistics and braiding from ground-state entanglement journal June 2012
Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State journal August 2007
Local models of fractional quantum Hall states in lattices and physical implementation journal November 2013
Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator journal October 2014
Topological entanglement entropy of Z 2 spin liquids and lattice Laughlin states journal August 2011
Universal magnetic properties of frustrated quantum antiferromagnets in two dimensions journal March 1994
Symmetry-Protected Topological Orders in Interacting Bosonic Systems journal December 2012
Anyons in Integer Quantum Hall Magnets journal August 2013
Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices journal October 1992
Chiral topological orders in an optical Raman lattice journal March 2016
Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to κ ( ET ) 2 Cu 2 ( C N ) 3 journal April 2006
Chiral spin liquid and quantum criticality in extended S = 1 2 Heisenberg models on the triangular lattice journal January 2017
Probing and controlling spin chirality in Mott insulators by circularly polarized laser journal July 2017
Chiral spin liquids on the kagome lattice journal September 2015
Non-Abelian Statistics in a Quantum Antiferromagnet journal May 2009
Chiral Spin-Density Wave, Spin-Charge-Chern Liquid, and d + i d Superconductivity in 1 / 4 -Doped Correlated Electronic Systems on the Honeycomb Lattice journal September 2014
Chiral spin states and superconductivity journal June 1989
Detection and characterization of symmetry-broken long-range orders in the spin- 1 2 triangular Heisenberg model journal August 2017
Global phase diagram and quantum spin liquids in a spin- 1 2 triangular antiferromagnet journal August 2017
Mean-field theory of spin-liquid states with finite energy gap and topological orders journal August 1991
Time-reversal symmetry breaking and spontaneous Hall effect without magnetic dipole order journal December 2009
Global phase diagram of competing ordered and quantum spin-liquid phases on the kagome lattice journal February 2015
Fidelity Approach to Quantum Phase Transitions journal September 2010
Coupled-wire construction of chiral spin liquids journal June 2015
Experimental realization of the topological Haldane model with ultracold fermions journal November 2014
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly" journal October 1988
Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder journal February 2013
Integer Quantum Hall Effect for Bosons journal January 2013
Non-Abelian statistics and a hierarchy of fractional spin liquids in spin- S antiferromagnets journal October 2011
Chern-Simons theory of magnetization plateaus of the spin- 1 2 quantum XXZ Heisenberg model on the kagome lattice journal November 2014
Bosonic Integer Quantum Hall Effect in Optical Flux Lattices journal September 2015
Kagome Chiral Spin Liquid as a Gauged U ( 1 ) Symmetry Protected Topological Phase journal December 2015
Lattice symmetries and regular magnetic orders in classical frustrated antiferromagnets journal May 2011

Cited By (2)

Continuous transformation between ferro and antiferro circular structures in $\boldsymbol {J_1-J_2-J_3}$ frustrated Heisenberg model journal August 2019
Frustrated quantum spin systems in small triangular lattices studied with a numerical method journal October 2019

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