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Title: Quantum spin liquid with emergent chiral order in the triangular-lattice Hubbard model

Abstract

The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate. Using the density matrix renormalization group with SU(2)spinⓍU(1)charge symmetries implemented, we study the triangular-lattice Hubbard model defined on the long cylinder geometry up to circumference W=6. A gapped quantum spin liquid, with on-site interaction 9≲U/t≲10.75, is identified between the metallic and the antiferromagnetic Mott insulating phases. In particular, we find that this spin liquid develops a robust long-range spin scalar-chiral correlation as the system length L increases, which unambiguously unveils the spontaneous time-reversal symmetry breaking. In addition, the degeneracy of the entanglement spectrum supports symmetry fractionalization and spinon edge modes in the obtained ground state. The possible origin of chiral order in this intermediate spin liquid and its relation to the rotonlike excitations have also been discussed.

Authors:
 [1];  [2];  [2];  [3];  [4]; ORCiD logo [5]
+ Show Author Affiliations
  1. Beihang University, Beijing (China); Ludwig Maximilian University of Munich, Munich (Germany)
  2. Beihang University, Beijing (China)
  3. California State University, Northridge (CSUN), CA (United States)
  4. Chinese Academy of Sciences (CAS), Beijing (China); Beihang University, Beijing (China)
  5. Brookhaven National Lab. (BNL), Upton, NY (United States); Ludwig Maximilian University of Munich, Munich (Germany)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; National Natural Science Foundation of China (NSFC); National Science Foundation (NSF); German Research Foundation (DFG)
OSTI Identifier:
1886240
Report Number(s):
BNL-223340-2022-JAAM
Journal ID: ISSN 2469-9950; TRN: US2309682
Grant/Contract Number:  
SC0012704; 11974036; 11834014; 11874078; 12074024; 11774018; DMR- 1828019; WE4819/3-1
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review. B
Additional Journal Information:
Journal Volume: 106; Journal Issue: 9; 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

Citation Formats

Chen, Bin-Bin, Chen, Ziyu, Gong, Shou-Shu, Sheng, D. N., Li, Wei, and Weichselbaum, Andreas. Quantum spin liquid with emergent chiral order in the triangular-lattice Hubbard model. United States: N. p., 2022. Web. doi:10.1103/PhysRevB.106.094420.
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Chen, Bin-Bin, Chen, Ziyu, Gong, Shou-Shu, Sheng, D. N., Li, Wei, & Weichselbaum, Andreas. Quantum spin liquid with emergent chiral order in the triangular-lattice Hubbard model. United States. https://doi.org/10.1103/PhysRevB.106.094420
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Chen, Bin-Bin, Chen, Ziyu, Gong, Shou-Shu, Sheng, D. N., Li, Wei, and Weichselbaum, Andreas. Fri . "Quantum spin liquid with emergent chiral order in the triangular-lattice Hubbard model". United States. https://doi.org/10.1103/PhysRevB.106.094420. https://www.osti.gov/servlets/purl/1886240.
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@article{osti_1886240,
title = {Quantum spin liquid with emergent chiral order in the triangular-lattice Hubbard model},
author = {Chen, Bin-Bin and Chen, Ziyu and Gong, Shou-Shu and Sheng, D. N. and Li, Wei and Weichselbaum, Andreas},
abstractNote = {The interplay between spin frustration and charge fluctuation gives rise to an exotic quantum state in the intermediate-interaction regime of the half-filled triangular-lattice Hubbard model, while the nature of the state is under debate. Using the density matrix renormalization group with SU(2)spinⓍU(1)charge symmetries implemented, we study the triangular-lattice Hubbard model defined on the long cylinder geometry up to circumference W=6. A gapped quantum spin liquid, with on-site interaction 9≲U/t≲10.75, is identified between the metallic and the antiferromagnetic Mott insulating phases. In particular, we find that this spin liquid develops a robust long-range spin scalar-chiral correlation as the system length L increases, which unambiguously unveils the spontaneous time-reversal symmetry breaking. In addition, the degeneracy of the entanglement spectrum supports symmetry fractionalization and spinon edge modes in the obtained ground state. The possible origin of chiral order in this intermediate spin liquid and its relation to the rotonlike excitations have also been discussed.},
doi = {10.1103/PhysRevB.106.094420},
journal = {Physical Review. B},
number = 9,
volume = 106,
place = {United States},
year = {Fri Sep 16 00:00:00 EDT 2022},
month = {Fri Sep 16 00:00:00 EDT 2022}
}
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Journal Article:
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https://doi.org/10.1103/PhysRevB.106.094420
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Works referenced in this record:

Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
journal, April 2019

Identifying symmetry-protected topological order by entanglement entropy
journal, December 2013

Four-Spin Terms and the Origin of the Chiral Spin Liquid in Mott Insulators on the Triangular Lattice
journal, August 2021

Thermodynamic properties of a spin-1/2 spin-liquid state in a κ-type organic salt
journal, April 2008

  • Yamashita, Satoshi; Nakazawa, Yasuhiro; Oguni, Masaharu
  • Nature Physics, Vol. 4, Issue 6
  • DOI: 10.1038/nphys942

Exact diagonalisations of open spin-1 chains
journal, July 1990

Quantum spin liquids: a review
journal, November 2016

Phase diagram of the anisotropic triangular lattice Hubbard model
journal, June 2021

Competing spin-liquid states in the spin- 1 2 Heisenberg model on the triangular lattice
journal, October 2015

Effective Spin Model for the Spin-Liquid Phase of the Hubbard Model on the Triangular Lattice
journal, December 2010

Equivalence of the resonating-valence-bond and fractional quantum Hall states
journal, November 1987

Identifying topological order by entanglement entropy
journal, November 2012

  • Jiang, Hong-Chen; Wang, Zhenghan; Balents, Leon
  • Nature Physics, Vol. 8, Issue 12
  • DOI: 10.1038/nphys2465

Quantum spin liquid states
journal, April 2017

Absence of Magnetic Thermal Conductivity in the Quantum Spin Liquid Candidate EtMe 3 Sb [ Pd ( dmit ) 2 ] 2
journal, December 2019

Neél Order in Square and Triangular Lattice Heisenberg Models
journal, September 2007

Ground-state phase diagram of the triangular lattice Hubbard model by the density-matrix renormalization group method
journal, November 2017

Spin Bose-metal phase in a spin- 1 2 model with ring exchange on a two-leg triangular strip
journal, May 2009

Chiral Spin Liquid Phase of the Triangular Lattice Hubbard Model: A Density Matrix Renormalization Group Study
journal, May 2020

Density matrix formulation for quantum renormalization groups
journal, November 1992

Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for κ-(ET) 2 Cu 2 (CN) 3
journal, September 2002

  • Morita, Hidekazu; Watanabe, Shinji; Imada, Masatoshi
  • Journal of the Physical Society of Japan, Vol. 71, Issue 9
  • DOI: 10.1143/JPSJ.71.2109

Chiral spin liquid with spinon Fermi surfaces in the spin- 1 2 triangular Heisenberg model
journal, December 2019

Mott Insulating States with Competing Orders in the Triangular Lattice Hubbard Model
journal, October 2021

Ordering due to disorder in a frustrated vector antiferromagnet
journal, April 1989

Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
journal, August 2007

The Resonating Valence Bond State in La2CuO4 and Superconductivity
journal, March 1987

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

Absence of a Spin Liquid Phase in the Hubbard Model on the Honeycomb Lattice
journal, December 2012

  • Sorella, Sandro; Otsuka, Yuichi; Yunoki, Seiji
  • Scientific Reports, Vol. 2, Issue 1
  • DOI: 10.1038/srep00992

Phase diagram of the Hubbard model on the anisotropic triangular lattice
journal, June 2015

Gapped magnetic ground state in quantum spin liquid candidate κ-(BEDT-TTF) 2 Cu 2 (CN) 3
journal, April 2021

  • Miksch, Björn; Pustogow, Andrej; Rahim, Mojtaba Javaheri
  • Science, Vol. 372, Issue 6539
  • DOI: 10.1126/science.abc6363

Non-abelian symmetries in tensor networks: A quantum symmetry space approach
journal, December 2012

Thermal Conductivity of the Quantum Spin Liquid Candidate EtMe 3 Sb [ Pd ( dmit ) 2 ] 2 : No Evidence of Mobile Gapless Excitations
journal, December 2019

Spin liquids in frustrated magnets
journal, March 2010

Gapless Quantum Spin Liquid in an Organic Spin-1/2 Triangular-Lattice κ − H 3 ( Cat-EDT-TTF ) 2
journal, April 2014

Incommensurate correlations in the anisotropic triangular Heisenberg lattice
journal, December 2011

Highly Mobile Gapless Excitations in a Two-Dimensional Candidate Quantum Spin Liquid
journal, June 2010

Gapless spin liquid of an organic triangular compound evidenced by thermodynamic measurements
journal, April 2011

  • Yamashita, Satoshi; Yamamoto, Takashi; Nakazawa, Yasuhiro
  • Nature Communications, Vol. 2, Issue 1
  • DOI: 10.1038/ncomms1274

Spin liquid phase of the S = 1 2 J 1 − J 2 Heisenberg model on the triangular lattice
journal, July 2015

Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor κ − ( ET ) 2 Cu 2 ( CN ) 3
journal, October 2005

Hubbard Model on the Triangular Lattice: Spiral Order and Spin Liquid
journal, March 2008

Resonating valence bonds: A new kind of insulator?
journal, February 1973

Hubbard ladders at small U revisited
journal, September 2020

X-symbols for non-Abelian symmetries in tensor networks
journal, June 2020

Exponential Thermal Tensor Network Approach for Quantum Lattice Models
journal, September 2018

Exact Diagonalization Study of Mott Transition in the Hubbard Model on an Anisotropic Triangular Lattice
journal, July 2007

  • Koretsune, Takashi; Motome, Yukitoshi; Furusaki, Akira
  • Journal of the Physical Society of Japan, Vol. 76, Issue 7
  • DOI: 10.1143/JPSJ.76.074719

Quantum criticality in an organic spin-liquid insulator κ-(BEDT-TTF)2Cu2(CN)3
journal, November 2016

  • Isono, Takayuki; Terashima, Taichi; Miyagawa, Kazuya
  • Nature Communications, Vol. 7, Issue 1
  • DOI: 10.1038/ncomms13494

Entanglement entropy and quantum field theory
journal, June 2004

Doping a Mott insulator: Physics of high-temperature superconductivity
journal, January 2006

  • Lee, Patrick A.; Nagaosa, Naoto; Wen, Xiao-Gang
  • Reviews of Modern Physics, Vol. 78, Issue 1
  • DOI: 10.1103/RevModPhys.78.17

Quantum Phase Transitions in the Hubbard Model on a Triangular Lattice
journal, July 2009

Spin Bose-Metal and Valence Bond Solid Phases in a Spin- 1 / 2 Model with Ring Exchanges on a Four-Leg Triangular Ladder
journal, April 2011

Tensor Network Representations of Parton Wave Functions
journal, June 2020

Hubbard model on triangular N -leg cylinders: Chiral and nonchiral spin liquids
journal, October 2021

Spin Liquid State in an Organic Mott Insulator with a Triangular Lattice
journal, September 2003

Dynamical Structure Factor of the J 1 − J 2 Heisenberg Model on the Triangular Lattice: Magnons, Spinons, and Gauge Fields
journal, August 2019

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