Ziegler, L, Tirrito, E, Lewenstein, M, Hands, S 
ORCID: 0000-0001-5720-7852 and Bermudez, A
(2022)
Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories.
PHYSICAL REVIEW RESEARCH, 4 (4).
l042012-.
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Abstract
We show that synthetic spin-orbit coupling for ultracold atoms in optical Raman potentials can be exploited to build versatile quantum simulators of correlated Chern insulators connected to strongly coupled four-Fermi field theories similar to the Gross-Neveu model in (2+1) dimensions. Exploiting this multidisciplinary perspective, we identify a large-N quantum anomalous Hall (QAH) effect in absence of any external magnetic field, and use it to delimit regions in parameter space where these correlated topological phases appear, the boundaries of which are controlled by strongly coupled fixed points of these four-Fermi relativistic field theories. We further show how, for strong interactions, the QAH effect gives way to magnetic phases described by a two-dimensional quantum compass model in a transverse field. We present a detailed description of the phase diagram using the large-N effective potential, and variational techniques such as projected entangled pairs.
| Item Type: | Article |
|---|---|
| Depositing User: | Symplectic Admin |
| Date Deposited: | 24 Oct 2022 07:46 |
| Last Modified: | 15 Mar 2024 18:27 |
| DOI: | 10.1103/PhysRevResearch.4.L042012 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3165702 |
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