Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model

doi:10.1103/PhysRevB.97.121111

	Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model
	Cheng, Song 2,3,4; Yu, Yi-Cong 2,3; Batchelor, M. T.1,4,5; Guan, Xi-Wen 2,4,6
刊名	PHYSICAL REVIEW B
	2018-03-26
卷号	97 期号:12
ISSN号	2469-9950
DOI	10.1103/PhysRevB.97.121111
文献子类	Article
英文摘要	In this Rapid Communication, we show that low-energy macroscopic properties of the one-dimensional (1D) attractive Hubbard model exhibit two fluids of bound pairs and of unpaired fermions. Using the thermodynamic Bethe ansatz equations of the model, we first determine the low-temperature phase diagram and analytically calculate the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) pairing correlation function for the partially polarized phase. We then show that for such an FFLO-like state in the low-density regime the effective chemical potentials of bound pairs and unpaired fermions behave like two free fluids. Consequently, the susceptibility, compressibility, and specific heat obey simple additivity rules, indicating the "free" particle nature of interacting fermions on a 1D lattice. In contrast to the continuum Fermi gases, the correlation critical exponents and thermodynamics of the attractive Hubbard model essentially depend on two lattice interacting parameters. Finally, we study scaling functions, the Wilson ratio and susceptibility, which provide universal macroscopic properties and dimensionless constants of interacting fermions at low energy.
WOS关键词	ASYMPTOTIC CORRELATION-FUNCTIONS ; FERMI GAS ; ANTIFERROMAGNETIC CORRELATIONS ; FFLO SIGNATURE ; BETHE-ANSATZ ; SPIN ; CHAIN ; TEMPERATURE ; ELECTRONS ; ATOMS
WOS研究方向	Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000428239700001
资助机构	Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; NNSFC(11374331 ; NNSFC(11374331 ; ARC(DP130102839 ; ARC(DP130102839 ; 11174375) ; 11174375) ; DP170104934) ; DP170104934) ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; NNSFC(11374331 ; NNSFC(11374331 ; ARC(DP130102839 ; ARC(DP130102839 ; 11174375) ; 11174375) ; DP170104934) ; DP170104934) ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; NNSFC(11374331 ; NNSFC(11374331 ; ARC(DP130102839 ; ARC(DP130102839 ; 11174375) ; 11174375) ; DP170104934) ; DP170104934) ; Key NNSFC Grant(11534014) ; Key NNSFC Grant(11534014) ; National Key R&D Program of China(2017YFA0304500) ; National Key R&D Program of China(2017YFA0304500) ; NNSFC(11374331 ; NNSFC(11374331 ; ARC(DP130102839 ; ARC(DP130102839 ; 11174375) ; 11174375) ; DP170104934) ; DP170104934)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/12982]
专题	中国科学院武汉物理与数学研究所
通讯作者	Guan, Xi-Wen
作者单位	1.Australian Natl Univ, Math Sci Inst, Canberra, ACT 0200, Australia 2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia 5.Chongqing Univ, Ctr Modern Phys, Chongqing 400044, Peoples R China 6.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Cheng, Song,Yu, Yi-Cong,Batchelor, M. T.,et al. Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model[J]. PHYSICAL REVIEW B,2018,97(12).
APA	Cheng, Song,Yu, Yi-Cong,Batchelor, M. T.,&Guan, Xi-Wen.(2018).Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model.PHYSICAL REVIEW B,97(12).
MLA	Cheng, Song,et al."Fulde-Ferrell-Larkin-Ovchinnikov correlation and free fluids in the one-dimensional attractive Hubbard model".PHYSICAL REVIEW B 97.12(2018).