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

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

Journal Article · Mon Oct 28 04:00:00 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 ^[3]; Hu, Haoyu ^[3]; Si, Qimiao ^[3]; Nevidomskyy, Andriy H. ^[3]

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

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.

View Accepted Manuscript (DOE)

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

OSTI ID:: 1803293

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

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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