In pursuit of deconfined quantum criticality in Ising gauge theory entangled with singlecomponent fermions
Abstract
We highlight exotic quantum criticality of quasitwodimensional singlecomponent fermions at halffilling that are minimally coupled to a dynamical Ising gauge theory. With the numerical matrix product state based iDMRG 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 shortrange repulsive interactions. We conjecture a $u(1)$ deconfined criticality scenario, propose a corresponding lowenergy effective field theory of the exotic quantum critical point in the twodimensional limit and identify its shortcomings
 Publication:

arXiv eprints
 Pub Date:
 February 2024
 DOI:
 10.48550/arXiv.2402.00933
 arXiv:
 arXiv:2402.00933
 Bibcode:
 2024arXiv240200933B
 Keywords:

 Condensed Matter  Strongly Correlated Electrons;
 Condensed Matter  Quantum Gases
 EPrint:
 Main text: 5 pages, 3 figures. Supplemental: 5 pages, 6 figures