Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model

doi:10.1016/j.nuclphysb.2018.02.016

	Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
	Cheng, Song 1,2,5; Jiang, Yuzhu 2,3; Yu, Yi-Cong 2,3; Batchelor, Murray T.4,5,6; Guan, Xi-Wen 2,3,5
刊名	NUCLEAR PHYSICS B
	2018-04-01
卷号	929 页码:353-376
ISSN号	0550-3213
DOI	10.1016/j.nuclphysb.2018.02.016
文献子类	Article
英文摘要	We study the long-distance asymptotic behavior of various correlation functions for the one-dimensional (1D) attractive Hubbard model in a partially polarized phase through the Bethe ansatz and conformal field theory approaches. We particularly find the oscillating behavior of these correlation functions with spatial power-law decay, of which the pair (spin) correlation function oscillates with a frequency Delta k(F)(2 Delta k(F)). Here Delta k(F)= pi(n up arrow-n down arrow) is the mismatch in the Fermi surfaces of spin-up and spin-down particles. Consequently, the pair correlation function in momentum space has peaks at the mismatch k= Lambda k(F), which has been observed in recent numerical work on this model. These singular peaks in momentum space together with the spatial oscillation suggest an analog of the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state in the 1D Hubbard model. The parameter beta representing the lattice effect becomes prominent in critical exponents which determine the power-law decay of all correlation functions. We point out that the backscattering of unpaired fermions and bound pairs within their own Fermi points gives a microscopic origin of the FFLO pairing in 1D.
WOS关键词	BETHE-ANSATZ ; ANTIFERROMAGNETIC CORRELATIONS ; SPIN ; CHAIN ; FIELD ; CHARGE
WOS研究方向	Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000427563700017
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 ; DP160102337) ; DP160102337) ; 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 ; DP160102337) ; DP160102337) ; 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 ; DP160102337) ; DP160102337) ; 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 ; DP160102337) ; DP160102337)
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/12884]
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, State Key Lab Magnet Resonance & Atom & Mol Phys, Wuhan 430071, Hubei, Peoples R China 3.Chinese Acad Sci, Ctr Cold Atom Phys, Wuhan 430071, Hubei, Peoples R China 4.Chongqing Univ, Ctr Modern Phys, Chongqing 400044, Peoples R China 5.Australian Natl Univ, Res Sch Phys & Engn, Dept Theoret Phys, Canberra, ACT 0200, Australia 6.Australian Natl Univ, Math Sci Inst, Canberra, ACT 0200, Australia
推荐引用方式 GB/T 7714	Cheng, Song,Jiang, Yuzhu,Yu, Yi-Cong,et al. Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model[J]. NUCLEAR PHYSICS B,2018,929:353-376.
APA	Cheng, Song,Jiang, Yuzhu,Yu, Yi-Cong,Batchelor, Murray T.,&Guan, Xi-Wen.(2018).Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model.NUCLEAR PHYSICS B,929,353-376.
MLA	Cheng, Song,et al."Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model".NUCLEAR PHYSICS B 929(2018):353-376.