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Asymptotic correlation functions and FFLO signature for the one-dimensional attractive Hubbard model
- Source :
- Nuclear Physics B, Vol 929, Iss, Pp 353-376 (2018), Nuclear Physics
- Publication Year :
- 2017
-
Abstract
- 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 $\Delta k_F=\pi(n_\uparrow-n_\downarrow)$ 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 $k=\Delta k_F$, 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.<br />Comment: 26 pages, 4 figures, published version, a series of study on the 1D attractive Hubbard model, few typos were corrected, references were added, also see arXiv:1708.07784 and arXiv:1708.07776
- Subjects :
- Physics
Condensed Matter::Quantum Gases
Nuclear and High Energy Physics
Strongly Correlated Electrons (cond-mat.str-el)
Condensed matter physics
Hubbard model
Conformal field theory
FOS: Physical sciences
Position and momentum space
Fermion
Computer Science::Digital Libraries
01 natural sciences
010305 fluids & plasmas
Bethe ansatz
Condensed Matter - Strongly Correlated Electrons
Lattice (order)
Pairing
0103 physical sciences
lcsh:QC770-798
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Condensed Matter::Strongly Correlated Electrons
010306 general physics
Critical exponent
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics B, Vol 929, Iss, Pp 353-376 (2018), Nuclear Physics
- Accession number :
- edsair.doi.dedup.....bf2c5c236c258e7c2ce351acc766b0c5