Phase diagram of generalized XY model using tensor renormalization group

Fuente: arXiv
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Autores principales: Samlodia, Abhishek, Longia, Vamika, Jha, Raghav G., Joseph, Anosh
Formato: Preprint
Publicado: 2024
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author Samlodia, Abhishek
Longia, Vamika
Jha, Raghav G.
Joseph, Anosh
author_facet Samlodia, Abhishek
Longia, Vamika
Jha, Raghav G.
Joseph, Anosh
contents 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 (BKT) and Ising class. We explore the model for a wide range of temperatures, $T$, and the deformation parameter, $Δ$, and compute specific heat along with integer and half-integer magnetic susceptibility, finding both BKT-like and Ising-like transitions and the region where they meet.
format Preprint
id arxiv_https___arxiv_org_abs_2404_17504
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Phase diagram of generalized XY model using tensor renormalization group
Samlodia, Abhishek
Longia, Vamika
Jha, Raghav G.
Joseph, Anosh
High Energy Physics - Lattice
Statistical Mechanics
High Energy Physics - Theory
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 (BKT) and Ising class. We explore the model for a wide range of temperatures, $T$, and the deformation parameter, $Δ$, and compute specific heat along with integer and half-integer magnetic susceptibility, finding both BKT-like and Ising-like transitions and the region where they meet.
title Phase diagram of generalized XY model using tensor renormalization group
topic High Energy Physics - Lattice
Statistical Mechanics
High Energy Physics - Theory
url https://arxiv.org/abs/2404.17504