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Acta Physica Polonica A

Vortex Properties in a Model with Local Pairs

Żaneta Śledź, Marcin Mierzejewski, Maciej M. Maśka

Published Apr 1, 2006• 1 citation
Publisher

Abstract

We investigate the vortex structure in the Penson-Kolb model with and without impurities.We focus on the consequences arising from the non-local field-dependent pairing interaction for the vortex profile, current distribution, and the local density of states.
DOI
10.12693/aphyspola.109.653

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The Penson-Kolb-Hubbard model, i.e. the Hubbard model with the pair-hopping interaction J is studied.We focus on the properties of the superconducting state with the Cooper-pair center-of-mass momentum q = Q (η-phase).The transition into the η-phase, which is favorized by the repulsive J (J < 0) is found to occur only above some critical value |J c |, dependent on band filling, on-site interaction U and band structure, and the system never exhibits standard BCS-like features.This is in obvious contrast with the properties of the isotropic s-wave state, stabilized by the attractive J and attractive U , which exhibit at T = 0 a smooth crossover from the BCS-like limit to that of tightly bound pairs with increasing pairing strength.
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In the paper, we study the thermodynamic and electromagnetic properties of the Penson--Kolb (PK) model, i.e., the tight--binding model for fermionic particles with the pair-hopping interaction JJJ. We focus on the case of repulsive JJJ (i.e., J0J 0J0 as a function of nnn and pairing strength. The analysis of the effects of the Fock term on the ground state phase boundaries and on selected PK model characteristics is performed as well as the influence of the phase fluctuations on the eta-pairing superconductivity is investigated. Within the Kosterlitz--Thouless scenario, the critical temperatures $T_{KT} $ are estimated for d=2d=2d=2 SQ lattice and compared with the critical temperature TcT_cTc​ obtained from HFA. We also determine the temperature TmT_mTm​ at which minimal gap between two quasiparticle bands vanishes in the eta-phase. Our results for repulsive JJJ are contrasted with those found earlier for the PK model with attractive JJJ (i.e., with J>0J>0J>0).