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| FFLO pairing correlation and Free Fermi liquids in 1D attractive Hubbard model |
| 2017-09-13
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| Institute of Theoretical Physics | | Chinese Academy of Sciences | | Key Laboratory of Theoretical Physics | | Seminar | | Title 题目 | FFLO pairing correlation and Free Fermi liquids in 1D attractive Hubbard model | | Speaker 报告人 | Prof. Guan Xiwen | | Affiliation 所在单位 | Wuhan Institute of Physics and Mathematics, Chinese Academy of Science;
Department of Theoretical Physics, Research School of Physics and
Engineering, Australian National University, Canberra | | Date 日期 | 2017年9月13日（周三）下午3：30 | | Venue 地点 | Room 322, ITP | | Abstract 摘要 | One-dimensional (1D) attractive Fermi-Hubbard model is a notoriously difficult problem and rarely studied in the literature. In this talk we will prove that the model exhibit a nature of free Fermi liquids at low energy. To this end, we first determine a full phase digram of the model by using the thermodynamic Bethe ansatz (TBA) solution, and then analytically calculate the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing correlation function for the partially-polarized phase at low fillings. We further prove that for such a FFLO-like state in low density regime the interaction effect can be absorbed into their effective chemical potentials of two non-interacting ideal gases with fractional quantum statistics. Consequently, the susceptibility, compressibility and specific heat obey simple additivity rules, indicating the nature of free Fermi liquids in the interacting fermions on a 1D lattice. Finally, we study scaling functions, Wilson ratio and susceptibility that provide universal macroscopic properties/dimensionless constants of interacting fermions at low energy. | | Contact person 所内联系人 | 田矗舜 |
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