Nematic spin liquid phase in a frustrated spin-1 system on the square lattice

Hu, Wen-Jun; Gong, Shou-Shu; Lai, Hsin-Hua; Hu, Haoyu; Si, Qimiao; Nevidomskyy, Andriy H.

doi:10.1103/physrevb.100.165142

Title: Nematic spin liquid phase in a frustrated spin-1 system on the square lattice

Journal Article · Mon Oct 28 00:00:00 EDT 2019 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.100.165142· OSTI ID:1803293

Hu, Wen-Jun ^[1];

^[2]; Lai, Hsin-Hua ^[1]; Hu, Haoyu ^[1]; Si, Qimiao ^[1]; Nevidomskyy, Andriy H. ^[1]

Rice Univ., Houston, TX (United States)
Beihang University, Beijing (China)

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.

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Research Organization:: Rice Univ., Houston, TX (United States)

Sponsoring Organization:: 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.

Grant/Contract Number:: SC0018197; DMR-1350237; C-1411; 11874078; 11834014; DMR-1157490; C-1818; EIA-0216467; CNS-1338099; DMR160057

OSTI ID:: 1803293

Journal Information:: Physical Review. B, Vol. 100, Issue 16; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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First-order Néel to columnar valence bond solid transition in a model square-lattice $S = 1$ antiferromagnet Wildeboer, Julia; Desai, Nisheeta; D'Emidio, Jonathan Physical Review B, Vol. 101, Issue 4 https://doi.org/10.1103/physrevb.101.045111	journal	January 2020
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Density matrix renormalization group study of nematicity in two dimensions: Application to a spin-1 bilinear-biquadratic model on the square lattice Hu, Wen-Jun; Gong, Shou-Shu; Lai, Hsin-Hua Physical Review B, Vol. 101, Issue 1 https://doi.org/10.1103/physrevb.101.014421	journal	January 2020

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