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

Abstract

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.

Authors:
 [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)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1406220
Alternate Identifier(s):
OSTI ID: 1389112
Report Number(s):
LA-UR-17-23909
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1703259
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 11; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Mathematics

Citation Formats

Hickey, Ciarán, Cincio, Lukasz, Papić, Zlatko, and Paramekanti, Arun. Emergence of chiral spin liquids via quantum melting of noncoplanar magnetic orders. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.115115.
Hickey, Ciarán, Cincio, Lukasz, Papić, Zlatko, & Paramekanti, Arun. Emergence of chiral spin liquids via quantum melting of noncoplanar magnetic orders. United States. doi:10.1103/PhysRevB.96.115115.
Hickey, Ciarán, Cincio, Lukasz, Papić, Zlatko, and Paramekanti, Arun. Mon . "Emergence of chiral spin liquids via quantum melting of noncoplanar magnetic orders". United States. doi:10.1103/PhysRevB.96.115115. https://www.osti.gov/servlets/purl/1406220.
@article{osti_1406220,
title = {Emergence of chiral spin liquids via quantum melting of noncoplanar magnetic orders},
author = {Hickey, Ciarán and Cincio, Lukasz and Papić, Zlatko and Paramekanti, Arun},
abstractNote = {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.},
doi = {10.1103/PhysRevB.96.115115},
journal = {Physical Review B},
number = 11,
volume = 96,
place = {United States},
year = {2017},
month = {9}
}

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Works referenced in this record:

Nature of chiral spin liquids on the kagome lattice
journal, September 2015

  • Wietek, Alexander; Sterdyniak, Antoine; Läuchli, Andreas M.
  • Physical Review B, Vol. 92, Issue 12
  • DOI: 10.1103/PhysRevB.92.125122

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

  • Gong, Shou-Shu; Zhu, Wei; Sheng, D. N.
  • Scientific Reports, Vol. 4, Issue 1
  • DOI: 10.1038/srep06317

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


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

  • Nielsen, Anne E. B.; Sierra, Germán; Cirac, J. Ignacio
  • Nature Communications, Vol. 4, Issue 1
  • DOI: 10.1038/ncomms3864

Chiral spin liquid and emergent anyons in a Kagome lattice Mott insulator
journal, October 2014

  • Bauer, B.; Cincio, L.; Keller, B. P.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6137

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


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


Itinerant Electron-Driven Chiral Magnetic Ordering and Spontaneous Quantum Hall Effect in Triangular Lattice Models
journal, October 2008


Non-Abelian Statistics in a Quantum Antiferromagnet
journal, May 2009


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

  • Machida, Yo; Nakatsuji, Satoru; Onoda, Shigeki
  • Nature, Vol. 463, Issue 7278
  • DOI: 10.1038/nature08680

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


Non-Abelian anyons and topological quantum computation
journal, September 2008


Coupled-wire construction of chiral spin liquids
journal, June 2015


Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014

  • Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
  • Nature, Vol. 515, Issue 7526
  • DOI: 10.1038/nature13915

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