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

Autor: Emanuele Tirrito, Simon Hands, Alejandro Bermudez
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Symmetry, Vol 14, Iss 4, p 799 (2022)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym14040799
Popis: 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.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje