Nematic spin liquid phase in a frustrated spin-1 system on the square lattice
Abstract
Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-1 model on the square lattice with the nearest-neighbor bilinear ($$J_1$$) and biquadratic ($$K_1$$) interactions. Here we provide strong evidence for a nematic spin liquid phase in a range of $$K_1/J_1$$ near the SU(3)-symmetric point ($$J_1 = K_1$$), based on the linear flavor-wave theory and extensive density matrix renormalization group calculation. This phase displays no spin dipolar or quadrupolar order, preserves translational symmetry but spontaneously breaks $$C_4$$ lattice rotational symmetry, and possesses fluctuations peaked at the wave vector (π, 2π/3) . The spin excitation gap drops rapidly with system size and appears to be gapless, and the nematic order is attributed to the dominant (π, 2π/3) fluctuations. Our results provide a novel mechanism for electronic nematic order and, more generally, open up a new avenue to explore frustration-induced exotic ground states.
- Publication Date:
- Research Org.:
- Rice Univ., Houston, TX (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF); Robert A. Welch Foundation; Research Corporation for Science Advancement; National Natural Science Foundation of China (NSFC); Fundamental Research Funds for the Central Universities; State of Florida; Rice University; Sun Microsystems; Sigma Solutions, Inc.
- OSTI Identifier:
- 1803293
- Grant/Contract Number:
- SC0018197; DMR-1350237; C-1411; 11874078; 11834014; DMR-1157490; C-1818; EIA-0216467; CNS-1338099; DMR160057
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. B
- Additional Journal Information:
- Journal Volume: 100; Journal Issue: 16; 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; Materials Science; Physics
Citation Formats
Hu, Wen-Jun, Gong, Shou-Shu, Lai, Hsin-Hua, Hu, Haoyu, Si, Qimiao, and Nevidomskyy, Andriy H. Nematic spin liquid phase in a frustrated spin-1 system on the square lattice. United States: N. p., 2019.
Web. doi:10.1103/physrevb.100.165142.
Hu, Wen-Jun, Gong, Shou-Shu, Lai, Hsin-Hua, Hu, Haoyu, Si, Qimiao, & Nevidomskyy, Andriy H. Nematic spin liquid phase in a frustrated spin-1 system on the square lattice. United States. https://doi.org/10.1103/physrevb.100.165142
Hu, Wen-Jun, Gong, Shou-Shu, Lai, Hsin-Hua, Hu, Haoyu, Si, Qimiao, and Nevidomskyy, Andriy H. Mon .
"Nematic spin liquid phase in a frustrated spin-1 system on the square lattice". United States. https://doi.org/10.1103/physrevb.100.165142. https://www.osti.gov/servlets/purl/1803293.
@article{osti_1803293,
title = {Nematic spin liquid phase in a frustrated spin-1 system on the square lattice},
author = {Hu, Wen-Jun and Gong, Shou-Shu and Lai, Hsin-Hua and Hu, Haoyu and Si, Qimiao and Nevidomskyy, Andriy H.},
abstractNote = {Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-1 model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. Here we provide strong evidence for a nematic spin liquid phase in a range of $K_1/J_1$ near the SU(3)-symmetric point ($J_1 = K_1$), based on the linear flavor-wave theory and extensive density matrix renormalization group calculation. This phase displays no spin dipolar or quadrupolar order, preserves translational symmetry but spontaneously breaks $C_4$ lattice rotational symmetry, and possesses fluctuations peaked at the wave vector (π, 2π/3) . The spin excitation gap drops rapidly with system size and appears to be gapless, and the nematic order is attributed to the dominant (π, 2π/3) fluctuations. Our results provide a novel mechanism for electronic nematic order and, more generally, open up a new avenue to explore frustration-induced exotic ground states.},
doi = {10.1103/physrevb.100.165142},
journal = {Physical Review. B},
number = 16,
volume = 100,
place = {United States},
year = {Mon Oct 28 00:00:00 EDT 2019},
month = {Mon Oct 28 00:00:00 EDT 2019}
}
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Works referenced in this record:
Unusual phases in quantum spin-1 systems
journal, November 1988
- Papanicolaou, N.
- Nuclear Physics B, Vol. 305, Issue 3
Simplex solids in SU( ) Heisenberg models on the kagome and checkerboard lattices
journal, July 2012
- Corboz, Philippe; Penc, Karlo; Mila, Frédéric
- Physical Review B, Vol. 86, Issue 4
Rigorous results on valence-bond ground states in antiferromagnets
journal, August 1987
- Affleck, Ian; Kennedy, Tom; Lieb, Elliott H.
- Physical Review Letters, Vol. 59, Issue 7
Onset of incommensurability at the valence-bond-solid point in the S =1 quantum spin chain
journal, February 1996
- Schollwöck, U.; Jolicœur, Th.; Garel, T.
- Physical Review B, Vol. 53, Issue 6
Non-Abelian chiral spin liquid on the kagome lattice
journal, May 2018
- Liu, Zheng-Xin; Tu, Hong-Hao; Wu, Ying-Hai
- Physical Review B, Vol. 97, Issue 19
The non-Abelian density matrix renormalization group algorithm
journal, March 2002
- McCulloch, I. P.; Gulácsi, M.
- Europhysics Letters (EPL), Vol. 57, Issue 6
An extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
text, January 1996
- Itoi, Chigak; Kato, Masa-Hide
- arXiv
Numerical renormalization-group study of low-lying eigenstates of the antiferromagnetic S =1 Heisenberg chain
journal, August 1993
- White, Steven R.; Huse, David A.
- Physical Review B, Vol. 48, Issue 6
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
Gapless quantum spin liquid ground state in the spin-1 antiferromagnet 6HB-
journal, June 2016
- Quilliam, J. A.; Bert, F.; Manseau, A.
- Physical Review B, Vol. 93, Issue 21
Quantum spin liquids: a review
journal, November 2016
- Savary, Lucile; Balents, Leon
- Reports on Progress in Physics, Vol. 80, Issue 1
Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices
text, January 2010
- Toth, Tamas A.; Laeuchli, Andreas M.; Mila, Frederic
- arXiv
Two-orbital S U(N) magnetism with ultracold alkaline-earth atoms
journal, February 2010
- Gorshkov, A. V.; Hermele, M.; Gurarie, V.
- Nature Physics, Vol. 6, Issue 4
Three-Sublattice Ordering of the SU(3) Heisenberg Model of Three-Flavor Fermions on the Square and Cubic Lattices
journal, December 2010
- Tóth, Tamás A.; Läuchli, Andreas M.; Mila, Frédéric
- Physical Review Letters, Vol. 105, Issue 26
Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
journal, April 2011
- Yan, S.; Huse, D. A.; White, S. R.
- Science, Vol. 332, Issue 6034
Plaquette order and deconfined quantum critical point in the spin-1 bilinear-biquadratic Heisenberg model on the honeycomb lattice
journal, April 2012
- Zhao, H. H.; Xu, Cenke; Chen, Q. N.
- Physical Review B, Vol. 85, Issue 13
Extended massless phase and the Haldane phase in a spin-1 isotropic antiferromagnetic chain
journal, April 1997
- Itoi, Chigak; Kato, Masa-Hide
- Physical Review B, Vol. 55, Issue 13
Evidence for a spinon Fermi surface in the triangular quantum spin liquid
journal, February 2017
- Fåk, B.; Bieri, S.; Canévet, E.
- Physical Review B, Vol. 95, Issue 6
Possible nematic spin liquid in spin-1 antiferromagnetic system on the square lattice: Implications for the nematic paramagnetic state of FeSe
journal, May 2017
- Gong, Shou-Shu; Zhu, W.; Sheng, D. N.
- Physical Review B, Vol. 95, Issue 20
Spin Bose-metal phase in a spin- model with ring exchange on a two-leg triangular strip
journal, May 2009
- Sheng, D. N.; Motrunich, Olexei I.; Fisher, Matthew P. A.
- Physical Review B, Vol. 79, Issue 20
Antiferroquadrupolar and Ising-Nematic Orders of a Frustrated Bilinear-Biquadratic Heisenberg Model and Implications for the Magnetism of FeSe
text, January 2015
- Yu, Rong; Si, Qimiao
- arXiv
Emergent Haldane phase in the bilinear-biquadratic Heisenberg model on the square lattice
journal, May 2017
- Niesen, Ido; Corboz, Philippe
- Physical Review B, Vol. 95, Issue 18
Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
text, January 2012
- Corboz, Philippe; Penc, Karlo; Mila, Frederic
- arXiv
Competition between two- and three-sublattice ordering for spins on the square lattice
journal, April 2012
- Tóth, Tamás A.; Läuchli, Andreas M.; Mila, Frédéric
- Physical Review B, Vol. 85, Issue 14
Two soluble models of an antiferromagnetic chain
journal, December 1961
- Lieb, Elliott; Schultz, Theodore; Mattis, Daniel
- Annals of Physics, Vol. 16, Issue 3
Plaquette order and deconfined quantum critical point in the spin-1 bilinear-biquadratic Heisenberg model on the honeycomb lattice
text, January 2011
- Zhao, H. H.; Xu, Cenke; Chen, Q. N.
- arXiv
Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
text, January 2009
- Hermele, Michael; Gurarie, Victor; Rey, Ana Maria
- arXiv
Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
text, January 2018
- Chen, Ji-Yao; Vanderstraeten, Laurens; Capponi, Sylvain
- arXiv
Staggered orbital currents in the half-filled two-leg ladder
journal, March 2002
- Fjærestad, J. O.; Marston, J. B.
- Physical Review B, Vol. 65, Issue 12
Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
text, January 2009
- Gorshkov, A. V.; Hermele, M.; Gurarie, V.
- arXiv
Competing states in the SU(3) Heisenberg model on the honeycomb lattice: Plaquette valence-bond crystal versus dimerized color-ordered state
journal, May 2013
- Corboz, Philippe; Lajkó, Miklós; Penc, Karlo
- Physical Review B, Vol. 87, Issue 19
Magnetization process of an S=1 linear-chain Heisenberg antiferromagnet
journal, July 1989
- Katsumata, K.; Hori, H.; Takeuchi, T.
- Physical Review Letters, Vol. 63, Issue 1
Anyons in an exactly solved model and beyond
journal, January 2006
- Kitaev, Alexei
- Annals of Physics, Vol. 321, Issue 1
Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis Néel State
journal, April 1983
- Haldane, F. D. M.
- Physical Review Letters, Vol. 50, Issue 15
Spin Disorder on a Triangular Lattice
journal, September 2005
- Nakatsuji, S.
- Science, Vol. 309, Issue 5741
Spin Ferroquadrupolar Order in the Nematic Phase of FeSe
journal, June 2016
- Wang, Zhentao; Hu, Wen-Jun; Nevidomskyy, Andriy H.
- Physical Review Letters, Vol. 116, Issue 24
The Non-Abelian Density Matrix Renormalization Group Algorithm
text, January 2000
- McCulloch, I.; Gulacsi, M.
- arXiv
Observation of S =1/2 degrees of freedom in an S =1 linear-chain Heisenberg antiferromagnet
journal, December 1990
- Hagiwara, M.; Katsumata, K.; Affleck, Ian
- Physical Review Letters, Vol. 65, Issue 25
Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
journal, November 2018
- Chen, Ji-Yao; Vanderstraeten, Laurens; Capponi, Sylvain
- Physical Review B, Vol. 98, Issue 18
Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
journal, September 2009
- Hermele, Michael; Gurarie, Victor; Rey, Ana Maria
- Physical Review Letters, Vol. 103, Issue 13
Realization of a System of Fermions in a Cold Atomic Gas
journal, November 2010
- Taie, Shintaro; Takasu, Yosuke; Sugawa, Seiji
- Physical Review Letters, Vol. 105, Issue 19
Ising transition in frustrated Heisenberg models
journal, January 1990
- Chandra, P.; Coleman, P.; Larkin, A. I.
- Physical Review Letters, Vol. 64, Issue 1
Majorana spin liquids on a two-leg ladder
journal, December 2011
- Lai, Hsin-Hua; Motrunich, Olexei I.
- Physical Review B, Vol. 84, Issue 23
High-Pressure Sequence of Structural Phases: New Quantum Spin Liquids Based on
journal, November 2011
- Cheng, J. G.; Li, G.; Balicas, L.
- Physical Review Letters, Vol. 107, Issue 19
Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
journal, March 2012
- Bauer, Bela; Corboz, Philippe; Läuchli, Andreas M.
- Physical Review B, Vol. 85, Issue 12
Realizing exactly solvable magnets with thermal atoms
journal, May 2016
- Beverland, Michael E.; Alagic, Gorjan; Martin, Michael J.
- Physical Review A, Vol. 93, Issue 5
Resonating valence bonds: A new kind of insulator?
journal, February 1973
- Anderson, P. W.
- Materials Research Bulletin, Vol. 8, Issue 2
Spin nematics correlations in bilinear-biquadratic spin chains
journal, October 2006
- Läuchli, Andreas; Schmid, Guido; Trebst, Simon
- Physical Review B, Vol. 74, Issue 14
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
Antiferroquadrupolar Order and Rotational Symmetry Breaking in a Generalized Bilinear-Biquadratic Model on a Square Lattice
journal, April 2017
- Lai, Hsin-Hua; Hu, Wen-Jun; Nica, Emilian M.
- Physical Review Letters, Vol. 118, Issue 17
Plaquette Ordered Phase and Quantum Phase Diagram in the Spin- Square Heisenberg Model
journal, July 2014
- Gong, Shou-Shu; Zhu, Wei; Sheng, D. N.
- Physical Review Letters, Vol. 113, Issue 2
High pressure sequence of Ba_3NiSb_2O_9 structural phases: new $S = 1$ quantum spin-liquids based on Ni^{2+}
text, January 2011
- Cheng, J. G.; Li, G.; Balicas, L.
- arXiv
Biquadratic Exchange and Quadrupolar Ordering
journal, March 1969
- Blume, M.; Hsieh, Y. Y.
- Journal of Applied Physics, Vol. 40, Issue 3
Antiferromagnetic spin ladders: crossover between spin S = 1/2 and S = 1 chains
text, January 1995
- Shelton, D. G.; Nersesyan, A. A.; Tsvelik, A. M.
- arXiv
Spontaneous trimerization in a bilinear-biquadratic zig-zag chain
journal, December 2007
- Corboz, Philippe; Läuchli, Andreas M.; Totsuka, Keisuke
- Physical Review B, Vol. 76, Issue 22
Global large time dynamics and the generalized Gibbs ensemble
journal, February 2013
- Gurarie, V.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2013, Issue 02
Antiferromagnetic spin ladders: Crossover between spin S =1/2 and S =1 chains
journal, April 1996
- Shelton, D. G.; Nersesyan, A. A.; Tsvelik, A. M.
- Physical Review B, Vol. 53, Issue 13
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journal, January 2020
- Wildeboer, Julia; Desai, Nisheeta; D'Emidio, Jonathan
- Physical Review B, Vol. 101, Issue 4
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text, January 2020
- Hu, Wen-Jun; Gong, Shou-Shu; Lai, Hsin-Hua
- arXiv
Density matrix renormalization group study of nematicity in two dimensions: Application to a spin-1 bilinear-biquadratic model on the square lattice
journal, January 2020
- Hu, Wen-Jun; Gong, Shou-Shu; Lai, Hsin-Hua
- Physical Review B, Vol. 101, Issue 1