Phase diagram of 1+1D Abelian-Higgs model and its critical point
High Energy Physics - Theory
2023-01-04 v4 Statistical Mechanics
Strongly Correlated Electrons
High Energy Physics - Lattice
Quantum Physics
Abstract
We determine the phase diagram of the Abelian-Higgs model in one spatial dimension and time (1+1D) on a lattice. We identify a line of first order phase transitions separating the Higgs region from the confined one. This line terminates in a quantum critical point above which the two regions are connected by a smooth crossover. We analyze the critical point and find compelling evidences for its description as the product of two non-interacting systems, a massless free fermion and a massless free boson. However, we find also some surprizing results that cannot be explained by our simple picture, suggesting this newly discovered critical point to be an unusual one.
Keywords
Cite
@article{arxiv.2107.11656,
title = {Phase diagram of 1+1D Abelian-Higgs model and its critical point},
author = {Titas Chanda and Maciej Lewenstein and Jakub Zakrzewski and Luca Tagliacozzo},
journal= {arXiv preprint arXiv:2107.11656},
year = {2023}
}
Comments
6+3 pages, 4+6 figures. Version accepted in PRL