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
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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 |
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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: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3153252 |