Large-S and Tensor-Network Methods for Strongly-Interacting Topological Insulators

Tirrito, Emanuele, Hands, Simon ORCID: 0000-0001-5720-7852 and Bermudez, Alejandro (2022) Large-S and Tensor-Network Methods for Strongly-Interacting Topological Insulators. Symmetry, 14 (4). p. 799.

Text
symmetry-14-00799.pdf - Published version
Download (2MB) | Preview

Official URL: http://dx.doi.org/10.3390/sym14040799

Abstract

<jats:p>The study of correlation effects in topological phases of matter can benefit from a multidisciplinary approach that combines techniques drawn from condensed matter, high-energy physics and quantum information science. In this work, we exploit these connections to study the strongly-interacting limit of certain lattice Hubbard models of topological insulators, which map onto four-Fermi quantum field theories with a Wilson-type discretisation and have been recently shown to be at reach of cold-atom quantum simulators based on synthetic spin-orbit coupling. We combine large-S and tensor-network techniques to explore the possible spontaneous symmetry-breaking phases that appear when the interactions of the topological insulators are sufficiently large. In particular, we show that varying the Wilson parameter r of the lattice discretisations leads to a novel Heisenberg–Ising compass model with critical lines that flow with the value of r.</jats:p>

Item Type:	Article
Uncontrolled Keywords:	topological insulators, large-S, tensor-network
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	19 Apr 2022 10:16
Last Modified:	15 Mar 2024 18:27
DOI:	10.3390/sym14040799
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3153252