Tensor renormalization group study of the 3d $O(2)$ model
Abstract
We calculate thermodynamic potentials and their derivatives for the three-dimensional model using tensor-network methods to investigate the well-known second-order phase transition. We also consider the model at non-zero chemical potential to study the Silver Blaze phenomenon, which is related to the particle number density at zero temperature. Furthermore, the temperature dependence of the number density is explored using asymmetric lattices. Our results for both zero and non-zero magnetic field, temperature, and chemical potential are consistent with those obtained using other methods.
Cite
@article{arxiv.2105.08066,
title = {Tensor renormalization group study of the 3d $O(2)$ model},
author = {Jacques Bloch and Raghav G. Jha and Robert Lohmayer and Maximilian Meister},
journal= {arXiv preprint arXiv:2105.08066},
year = {2021}
}
Comments
v1: 9 pages with 8 figures, v2: Minor corrections with revised Fig. 7a closer to the critical value, version matches the one accepted for publication in Phys. Rev. D