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Bibliographic Details
Main Author: Shen, Ce
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2502.14556
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author Shen, Ce
author_facet Shen, Ce
contents We investigate the phase diagram of a quantum many-body system constructed via the strange correlator approach, based on the non-Abelian $SU(2)_4$ fusion category, to probe topological phase transitions. Using tensor network methods, we numerically compute the half-infinite chain entanglement entropy derived from the dominant eigenvector of the transfer matrix and map the entropy across a spherical two-dimensional parameter space. Our results reveal a phase diagram significantly more complex than previously reported, including a gapless phase consistent with a conformal field theory (CFT) of central charge $c=1$. Critical lines separating distinct phases are identified, with one such line bounding the CFT phase exhibiting a higher central charge $c=2$, indicative of an unconventional critical regime.
format Preprint
id arxiv_https___arxiv_org_abs_2502_14556
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Exploring the phase diagram of $SU(2)_4$ strange correlator
Shen, Ce
High Energy Physics - Theory
Strongly Correlated Electrons
We investigate the phase diagram of a quantum many-body system constructed via the strange correlator approach, based on the non-Abelian $SU(2)_4$ fusion category, to probe topological phase transitions. Using tensor network methods, we numerically compute the half-infinite chain entanglement entropy derived from the dominant eigenvector of the transfer matrix and map the entropy across a spherical two-dimensional parameter space. Our results reveal a phase diagram significantly more complex than previously reported, including a gapless phase consistent with a conformal field theory (CFT) of central charge $c=1$. Critical lines separating distinct phases are identified, with one such line bounding the CFT phase exhibiting a higher central charge $c=2$, indicative of an unconventional critical regime.
title Exploring the phase diagram of $SU(2)_4$ strange correlator
topic High Energy Physics - Theory
Strongly Correlated Electrons
url https://arxiv.org/abs/2502.14556