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Correlated Chern insulators in two-dimensional Raman lattices: A cold-atom regularization of strongly coupled four-Fermi field theories

L. Ziegler Orcid Logo, E. Tirrito, M. Lewenstein Orcid Logo, Simon Hands, A. Bermudez

Physical Review Research, Volume: 4, Issue: 4

Swansea University Author: Simon Hands

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DOI (Published version): 10.1103/physrevresearch.4.l042012

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 th...

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Published in: Physical Review Research
ISSN: 2643-1564
Published: American Physical Society (APS) 2022
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URI: https://cronfa.swan.ac.uk/Record/cronfa61959
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.
College: Faculty of Science and Engineering
Funders: This project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 665884, the Spanish Ministry MINECO (National Plan 15 Grant: FISICATEAMO No. FIS2016-79508-P, SEVERO OCHOA No. SEV-2015-0522, FPI), European Social Fund, Fundació Cellex, Generalitat de Catalunya (AGAUR Grant No. 2017 SGR 1341, CERCA/Program), ERC AdG NOQIA, EU FEDER, and the National Science Centre, Poland-Symfonia Grant No. 2016/20/W/ST4/00314. The work of S.J.H. was supported by STFC Grant No. ST/L000369/1. A.B. acknowledges support from the Ramón y Cajal program RYC-2016-20066, CAM/FEDER Project S2018/TCS4342 (QUITEMADCM), and PGC2018-099169-B-I00 (MCIU/AEI/FEDER, UE), from the Grant IFT Centro de Excelencia Severo Ochoa CEX2020-001007-S, funded by MCIN/AEI/10.13039/501100011033, and from the CSIC Research Platform on Quantum Technologies PTI-001. S.H. is supported by STFC Grant No. ST/T000813/1. A.B. acknowledges support from PID2021-127726NB-I00.
Issue: 4

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