Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions

Fuente: arXiv
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Hauptverfasser: Borla, Umberto, Gazit, Snir, Moroz, Sergej
Format: Preprint
Veröffentlicht: 2024
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author Borla, Umberto
Gazit, Snir
Moroz, Sergej
author_facet Borla, Umberto
Gazit, Snir
Moroz, Sergej
contents We highlight the exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based infinite density matrix renormalization group method, we discover a robust quantum critical line in the infinite cylinder geometry, where gauge confinement and dimerized translation symmetry breaking emerge simultaneously. We investigate how the transition can be split by a $\mathbb{Z}_2$ topologically ordered dimerized phase that is stabilized by additional short-range repulsive interactions. We conjecture a $u(1)$ deconfined criticality scenario, propose a corresponding low-energy effective field theory of the exotic quantum critical point in the two-dimensional limit and identify its shortcomings
format Preprint
id arxiv_https___arxiv_org_abs_2402_00933
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions
Borla, Umberto
Gazit, Snir
Moroz, Sergej
Strongly Correlated Electrons
Quantum Gases
We highlight the exotic quantum criticality of quasi-two-dimensional single-component fermions at half-filling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based infinite density matrix renormalization group method, we discover a robust quantum critical line in the infinite cylinder geometry, where gauge confinement and dimerized translation symmetry breaking emerge simultaneously. We investigate how the transition can be split by a $\mathbb{Z}_2$ topologically ordered dimerized phase that is stabilized by additional short-range repulsive interactions. We conjecture a $u(1)$ deconfined criticality scenario, propose a corresponding low-energy effective field theory of the exotic quantum critical point in the two-dimensional limit and identify its shortcomings
title Deconfined quantum criticality in Ising gauge theory entangled with single-component fermions
topic Strongly Correlated Electrons
Quantum Gases
url https://arxiv.org/abs/2402.00933