Mesoscopic BCS pairing in the repulsive one-dimensional Hubbard model

被引:3
|
作者
Amico, Luigi
Mastellone, Andrea
Osterloh, Andreas
机构
[1] Univ Catania, MATIS, INFM, CNR, I-95125 Catania, Italy
[2] Univ Catania, Dipartimento Metodol Fisiche & Chim, I-95125 Catania, Italy
[3] Leibniz Univ Hannover, Inst Theoret Phys, D-30167 Hannover, Germany
关键词
D O I
10.1103/PhysRevB.73.214513
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We study mesoscopic pairing in the one-dimensional repulsive Hubbard model and its interplay with the BCS model in the canonical ensemble. The key tool is comparing the Bethe ansatz equations of the two models in the limit of small Coulomb repulsion. For the ordinary Hubbard interaction the BCS Bethe equations with infinite pairing coupling are recovered; a finite pairing is obtained by considering a further density-dependent phase-correlation in the hopping amplitude of the Hubbard model. We find that spin degrees of freedom in the Hubbard ground state are arranged in a state of the BCS type, where the Cooper pairs form a noncondensed liquid on a "lattice" of single particle energies provided by the Hubbard charge degrees of freedom; the condensation in the BCS ground state corresponds to Hubbard excitations constituted by a sea of spin singlets.
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页数:7
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