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

• URL: http://arxiv.org/abs/2306.16466v2
• Date: Sun, 10 Mar 2024 12:53:17 GMT
• Title: Chiral spin liquid phase in an optical lattice at mean-field level
• Authors: Jian Yang and Xiong-Jun Liu
• Abstract summary: An effective U($1$) gauge flux generated by Raman potentials plays a major role in realizing the CSL phase. By spinon mean-field analysis it is shown that CSL phase is stabilized in the case of strong magnetic frustration.
• Score: 17.017807180139943
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

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