Gapless to gapless phase transitions in quantum spin chains

Feng, Shi; Alvarez, Gonzalo; Trivedi, Nandini

doi:10.1103/physrevb.105.014435

Title: Gapless to gapless phase transitions in quantum spin chains

Journal Article · 26 January 2022 · Physical Review. B

DOI: https://doi.org/10.1103/physrevb.105.014435 · OSTI ID:1843718

^[1];

^[2]; Trivedi, Nandini ^[1]

The Ohio State Univ., Columbus, OH (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

We investigate spin chains with bilinear-biquadratic (BLBQ) spin interactions as a function of an applied magnetic field h. At the Uimin-Lai-Sutherland (ULS) critical point we find a gapless to gapless transition revealed by the dynamical structure factor S(q,ω) as a function of h. At h=0, the envelope of the lowest-energy excitations goes soft at two points, q₁=2π/3 and q₂=4π/3, dubbed the phase A. With increasing field, the spectral peaks at each of the gapless points bifurcate, making in total four soft modes, and combine to form a new set of excitations that soften at a single point q=π at h_c1≈0.94. Beyond h_c1 the system enters another gapless B phase until the transition at h_c2=4 to the fully polarized phase. We compare the ULS model results with those for the Affleck-Kennedy-Lieb-Tasaki model as a representative of the gapped Haldane phase. We explain the mechanism of the gapless to gapless transition in the ULS model using its conserved charges and a spinon band picture. We also discuss the universality of central charges of the BLBQ family of models subjected to a magnetic field.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR). Scientific Discovery through Advanced Computing (SciDAC)

Grant/Contract Number:: AC05-00OR22725; FG02-07ER46423

OSTI ID:: 1843718

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 1 Vol. 105; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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