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:
-
[2];
- Univ. of Toronto, ON (Canada). Dept. of Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
- Univ. of Leeds (United Kingdom). School of Physics and Astronomy
- 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. https://doi.org/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. https://doi.org/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 = {Mon Sep 11 00:00:00 EDT 2017},
month = {Mon Sep 11 00:00:00 EDT 2017}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 16 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
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
Exact spectra, spin susceptibilities, and order parameter of the quantum Heisenberg antiferromagnet on the triangular lattice
journal, October 1994
- Bernu, B.; Lecheminant, P.; Lhuillier, C.
- Physical Review B, Vol. 50, Issue 14
Variational Monte Carlo study of a chiral spin liquid in the extended Heisenberg model on the kagome lattice
journal, January 2015
- Hu, Wen-Jun; Zhu, Wei; Zhang, Yi
- Physical Review B, Vol. 91, Issue 4
Parent Hamiltonian for the non-Abelian chiral spin liquid
journal, April 2014
- Greiter, Martin; Schroeter, Darrell F.; Thomale, Ronny
- Physical Review B, Vol. 89, Issue 16
Spectrum of conformal gauge theories on a torus
journal, May 2017
- Thomson, Alex; Sachdev, Subir
- Physical Review B, Vol. 95, Issue 20
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
Parent Hamiltonian for the chiral spin liquid
journal, September 2009
- Thomale, Ronny; Kapit, Eliot; Schroeter, Darrell F.
- Physical Review B, Vol. 80, Issue 10
Interaction-driven fractional quantum Hall state of hard-core bosons on kagome lattice at one-third filling
journal, July 2016
- Zhu, W.; Gong, S. S.; Sheng, D. N.
- Physical Review B, Vol. 94, Issue 3
Quantum spin liquids: a review
journal, November 2016
- Savary, Lucile; Balents, Leon
- Reports on Progress in Physics, Vol. 80, Issue 1
Gapless chiral spin liquid in a kagome Heisenberg model
journal, August 2015
- Bieri, Samuel; Messio, Laura; Bernu, Bernard
- Physical Review B, Vol. 92, Issue 6
Chiral Spin Liquid in a Frustrated Anisotropic Kagome Heisenberg Model
journal, April 2014
- He, Yin-Chen; Sheng, D. N.; Chen, Yan
- Physical Review Letters, Vol. 112, Issue 13
Equivalence of the resonating-valence-bond and fractional quantum Hall states
journal, November 1987
- Kalmeyer, V.; Laughlin, R. B.
- Physical Review Letters, Vol. 59, Issue 18
Resonating Valence Bond Phase in the Triangular Lattice Quantum Dimer Model
journal, February 2001
- Moessner, R.; Sondhi, S. L.
- Physical Review Letters, Vol. 86, Issue 9
Quantum spin liquid states
journal, April 2017
- Zhou, Yi; Kanoda, Kazushi; Ng, Tai-Kai
- Reviews of Modern Physics, Vol. 89, Issue 2
Lattice spin models for non-Abelian chiral spin liquids
journal, April 2017
- Lecheminant, P.; Tsvelik, A. M.
- Physical Review B, Vol. 95, Issue 14
Density-matrix algorithms for quantum renormalization groups
journal, October 1993
- White, Steven R.
- Physical Review B, Vol. 48, Issue 14
Applying matrix product operators to model systems with long-range interactions
journal, July 2008
- Crosswhite, Gregory M.; Doherty, A. C.; Vidal, Guifré
- Physical Review B, Vol. 78, Issue 3
Variational Monte Carlo study of chiral spin liquid in quantum antiferromagnet on the triangular lattice
journal, August 2016
- Hu, Wen-Jun; Gong, Shou-Shu; Sheng, D. N.
- Physical Review B, Vol. 94, Issue 7
Chiral topological spin liquids with projected entangled pair states
journal, June 2015
- Poilblanc, Didier; Cirac, J. Ignacio; Schuch, Norbert
- Physical Review B, Vol. 91, Issue 22
A practical introduction to tensor networks: Matrix product states and projected entangled pair states
journal, October 2014
- Orús, Román
- Annals of Physics, Vol. 349
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Stability of the Spontaneous Quantum Hall State in the Triangular Kondo-Lattice Model
journal, December 2010
- Kato, Yasuyuki; Martin, Ivar; Batista, C. D.
- Physical Review Letters, Vol. 105, Issue 26
Haldane-Hubbard Mott Insulator: From Tetrahedral Spin Crystal to Chiral Spin Liquid
journal, April 2016
- Hickey, Ciarán; Cincio, Lukasz; Papić, Zlatko
- Physical Review Letters, Vol. 116, Issue 13
Theory and classification of interacting integer topological phases in two dimensions: A Chern-Simons approach
journal, September 2012
- Lu, Yuan-Ming; Vishwanath, Ashvin
- Physical Review B, Vol. 86, Issue 12
Ground state overlap and quantum phase transitions
journal, September 2006
- Zanardi, Paolo; Paunković, Nikola
- Physical Review E, Vol. 74, Issue 3
Microscopic model for the boson integer quantum Hall effect
journal, October 2013
- Regnault, N.; Senthil, T.
- Physical Review B, Vol. 88, Issue 16
Quasiparticle statistics and braiding from ground-state entanglement
journal, June 2012
- Zhang, Yi; Grover, Tarun; Turner, Ari
- Physical Review B, Vol. 85, Issue 23
Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
journal, August 2007
- Schroeter, Darrell F.; Kapit, Eliot; Thomale, Ronny
- Physical Review Letters, Vol. 99, Issue 9
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
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
Topological entanglement entropy of spin liquids and lattice Laughlin states
journal, August 2011
- Zhang, Yi; Grover, Tarun; Vishwanath, Ashvin
- Physical Review B, Vol. 84, Issue 7
Universal magnetic properties of frustrated quantum antiferromagnets in two dimensions
journal, March 1994
- Chubukov, Andrey V.; Senthil, T.; Sachdev, Subir
- Physical Review Letters, Vol. 72, Issue 13
Symmetry-Protected Topological Orders in Interacting Bosonic Systems
journal, December 2012
- Chen, X.; Gu, Z. -C.; Liu, Z. -X.
- Science, Vol. 338, Issue 6114
Anyons in Integer Quantum Hall Magnets
journal, August 2013
- Rahmani, Armin; Muniz, Rodrigo A.; Martin, Ivar
- Physical Review X, Vol. 3, Issue 3
Signature of Néel order in exact spectra of quantum antiferromagnets on finite lattices
journal, October 1992
- Bernu, B.; Lhuillier, C.; Pierre, L.
- Physical Review Letters, Vol. 69, Issue 17
Chiral topological orders in an optical Raman lattice
journal, March 2016
- Liu, Xiong-Jun; Liu, Zheng-Xin; Law, K. T.
- New Journal of Physics, Vol. 18, Issue 3
Orbital magnetic field effects in spin liquid with spinon Fermi sea: Possible application to
journal, April 2006
- Motrunich, Olexei I.
- Physical Review B, Vol. 73, Issue 15
Chiral spin liquid and quantum criticality in extended Heisenberg models on the triangular lattice
journal, January 2017
- Wietek, Alexander; Läuchli, Andreas M.
- Physical Review B, Vol. 95, Issue 3
Probing and controlling spin chirality in Mott insulators by circularly polarized laser
journal, July 2017
- Kitamura, Sota; Oka, Takashi; Aoki, Hideo
- Physical Review B, Vol. 96, Issue 1
Chiral spin liquids on the kagome lattice
journal, September 2015
- Kumar, Krishna; Sun, Kai; Fradkin, Eduardo
- Physical Review B, Vol. 92, Issue 9
Non-Abelian Statistics in a Quantum Antiferromagnet
journal, May 2009
- Greiter, Martin; Thomale, Ronny
- Physical Review Letters, Vol. 102, Issue 20
Chiral Spin-Density Wave, Spin-Charge-Chern Liquid, and Superconductivity in -Doped Correlated Electronic Systems on the Honeycomb Lattice
journal, September 2014
- Jiang, Shenghan; Mesaros, Andrej; Ran, Ying
- Physical Review X, Vol. 4, Issue 3
Chiral spin states and superconductivity
journal, June 1989
- Wen, X. G.; Wilczek, Frank; Zee, A.
- Physical Review B, Vol. 39, Issue 16
Detection and characterization of symmetry-broken long-range orders in the spin- triangular Heisenberg model
journal, August 2017
- Saadatmand, S. N.; McCulloch, I. P.
- Physical Review B, Vol. 96, Issue 7
Global phase diagram and quantum spin liquids in a spin- triangular antiferromagnet
journal, August 2017
- Gong, Shou-Shu; Zhu, W.; Zhu, J. -X.
- Physical Review B, Vol. 96, Issue 7
Mean-field theory of spin-liquid states with finite energy gap and topological orders
journal, August 1991
- Wen, X. G.
- Physical Review B, Vol. 44, Issue 6
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
Global phase diagram of competing ordered and quantum spin-liquid phases on the kagome lattice
journal, February 2015
- Gong, Shou-Shu; Zhu, Wei; Balents, Leon
- Physical Review B, Vol. 91, Issue 7
Fidelity Approach to Quantum Phase Transitions
journal, September 2010
- Gu, Shi-Jian
- International Journal of Modern Physics B, Vol. 24, Issue 23
Coupled-wire construction of chiral spin liquids
journal, June 2015
- Meng, Tobias; Neupert, Titus; Greiter, Martin
- Physical Review B, Vol. 91, Issue 24
Experimental realization of the topological Haldane model with ultracold fermions
journal, November 2014
- Jotzu, Gregor; Messer, Michael; Desbuquois, Rémi
- Nature, Vol. 515, Issue 7526
Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988
- Haldane, F. D. M.
- Physical Review Letters, Vol. 61, Issue 18
Characterizing Topological Order by Studying the Ground States on an Infinite Cylinder
journal, February 2013
- Cincio, L.; Vidal, G.
- Physical Review Letters, Vol. 110, Issue 6
Integer Quantum Hall Effect for Bosons
journal, January 2013
- Senthil, T.; Levin, Michael
- Physical Review Letters, Vol. 110, Issue 4
Non-Abelian statistics and a hierarchy of fractional spin liquids in spin- antiferromagnets
journal, October 2011
- Scharfenberger, Burkhard; Thomale, Ronny; Greiter, Martin
- Physical Review B, Vol. 84, Issue 14
Chern-Simons theory of magnetization plateaus of the spin- quantum XXZ Heisenberg model on the kagome lattice
journal, November 2014
- Kumar, Krishna; Sun, Kai; Fradkin, Eduardo
- Physical Review B, Vol. 90, Issue 17
Bosonic Integer Quantum Hall Effect in Optical Flux Lattices
journal, September 2015
- Sterdyniak, A.; Cooper, Nigel R.; Regnault, N.
- Physical Review Letters, Vol. 115, Issue 11
Kagome Chiral Spin Liquid as a Gauged Symmetry Protected Topological Phase
journal, December 2015
- He, Yin-Chen; Bhattacharjee, Subhro; Pollmann, Frank
- Physical Review Letters, Vol. 115, Issue 26
Lattice symmetries and regular magnetic orders in classical frustrated antiferromagnets
journal, May 2011
- Messio, L.; Lhuillier, C.; Misguich, G.
- Physical Review B, Vol. 83, Issue 18
Works referencing / citing this record:
Continuous transformation between ferro and antiferro circular structures in $\boldsymbol {J_1-J_2-J_3}$ frustrated Heisenberg model
journal, August 2019
- Valiulin, V. E.; Mikheyenkov, A. V.; Chtchelkatchev, N. M.
- Journal of Physics: Condensed Matter, Vol. 31, Issue 45
Frustrated quantum spin systems in small triangular lattices studied with a numerical method
journal, October 2019
- Castells-Graells, D.; Yuste, A.; Sanpera, A.
- Physical Review B, Vol. 100, Issue 15