Chiral spin liquid phase in an optical lattice at mean-field level

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Hauptverfasser: Yang, Jian, Liu, Xiong-Jun
Format: Preprint
Veröffentlicht: 2023
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author Yang, Jian
Liu, Xiong-Jun
author_facet Yang, Jian
Liu, Xiong-Jun
contents We study an optical Raman square lattice with $\mathrm{U}(1)$ synthetic gauge flux to show chiral spin liquid (CSL) phase for cold atoms based on slave-rotor theory and spinon mean-field theory, respectively. An effective U($1$) gauge flux generated by Raman potentials plays a major role in realizing the CSL phase. By using slave-rotor techniques we find CSL phase at intermediate on-site Fermi Hubbard interacting regime. For the strong interacting regime we derive an effective spin model including up to the four spin interactions. By spinon mean-field analysis it is shown that CSL phase is stabilized in the case of strong magnetic frustration. The two mean-field approximation methods give consistent phase diagrams and provide qualitative numerical evidence of the CSL phase.
format Preprint
id arxiv_https___arxiv_org_abs_2306_16466
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Chiral spin liquid phase in an optical lattice at mean-field level
Yang, Jian
Liu, Xiong-Jun
Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Quantum Physics
We study an optical Raman square lattice with $\mathrm{U}(1)$ synthetic gauge flux to show chiral spin liquid (CSL) phase for cold atoms based on slave-rotor theory and spinon mean-field theory, respectively. An effective U($1$) gauge flux generated by Raman potentials plays a major role in realizing the CSL phase. By using slave-rotor techniques we find CSL phase at intermediate on-site Fermi Hubbard interacting regime. For the strong interacting regime we derive an effective spin model including up to the four spin interactions. By spinon mean-field analysis it is shown that CSL phase is stabilized in the case of strong magnetic frustration. The two mean-field approximation methods give consistent phase diagrams and provide qualitative numerical evidence of the CSL phase.
title Chiral spin liquid phase in an optical lattice at mean-field level
topic Strongly Correlated Electrons
Mesoscale and Nanoscale Physics
Quantum Physics
url https://arxiv.org/abs/2306.16466