Two-dimensional transverse-field XY model with the in-plane anisotropy and Dzyaloshinskii–Moriya interaction: Anisotropy-driven transition

Yoshihiro Nishiyama

Physica A: Statistical Mechanics and its Applications, 2025, vol. 664, issue C

Abstract: The two-dimensional (2D) quantum spin-S=1/2XY model with the transverse-field H, in-plane-anisotropy γ, and Dzyaloshinskii–Moriya (DM) D interactions was investigated by means of the exact diagonalization method, which enables us to treat the D-mediated complex-valued Hermitian matrix elements. According to the preceding real-space renormalization group analysis at H=0, the γ-driven phase transition occurs generically for D≠0 in contrast to the 1D XY model where both γ- and D-induced phases are realized for γ>D and γKeywords: Critical point phenomena; Lattice theory and statistics (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:664:y:2025:i:c:s0378437125000962

DOI: 10.1016/j.physa.2025.130444

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