Phase diagram of generalized XY model using the tensor renormalization group

Journal Article · 06 August 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.110.034504 · OSTI ID:2427028

Samlodia, Abhishek ; Longia, Vamika ; Jha, Raghav G. ; Joseph, Anosh

We use the higher-order tensor renormalization group method to study the two-dimensional generalized XY model that admits integer and half-integer vortices. This model is the deformation of the classical XY model and has a rich phase structure consisting of nematic, ferromagnetic, and disordered phases and three transition lines belonging to the Berezinskii-Kosterlitz-Thouless and Ising class. We explore the model for a wide range of temperatures, $T$ , and the deformation parameter, $\mathrm{\Delta }$ , and compute specific heat along with integer and half-integer magnetic susceptibility, finding both Berezinskii-Kosterlitz-Thouless-like and Ising-like transitions and the region where they meet. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: SC0019139; AC05-06OR23177; SC0012704
• OSTI ID: 2427028
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 3 Vol. 110; ISSN PRVDAQ; ISSN 2470-0010
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English