Superconductivity in the Hubbard model with pair hopping

Abstract

The phase diagrams and superconducting properties of the extended Hubbard model with pair hopping interaction, i.e. the Penson-Kolb-Hubbard model are studied. The analysis of the model is performed for d-dimensional hypercubic lattices, including d=1 and d=$\infty$, by means of the (broken symmetry) Hartree-Fock approximations and, for d=$\infty$, by the slave-boson mean-field method. For d=1, at half-filling the phase diagram is shown to consist of nine different phases including two superconducting states with center-of-mass momentum q=0 and q=Q ($\eta$-pairing), site and bond-located antiferromagnetic and charge-density wave states as well as three mixed phases with coexisting site and bond orderings. The stability range of the bond-type orderings is shrank with increasing lattice dimensionality d and for d=$\infty$ the corresponding diagram consists of four phases only, involving exclusively site-located orderings. Comparing the pair hopping model with the attractive Hubbard model we found in the both cases gradual evolution from the BCS-like limit to the tightly bound pairs regime and a monotonic increase of the gap in the excitation spectrum with increasing coupling. However, the dynamics of electron pairs in both models is qualitatively different, which results in different dependences of condensation energies and critical temperatures on interaction parameters as well as in different electrodynamic properties, especially in a strong coupling regime.

16 pages, Revtex, 7 EPS figures included via epsf.sty, to appear in Phys. Rev. B, 01Mar99

Cited by in corpus (27)

• η-superconductivity in the Hubbard chain with pair hopping
• Fulde-Ferrell-Larkin-Ovchinnikov phase in the presence of pair hopping interaction
• Fully Algebraic and Self-consistent Effective Dynamics in a Static Quantum Embedding
• Phase separation in a lattice model of a superconductor with pair hopping
• Critical field in a model with local pairs
• Quantum phases of 1D Hubbard models with three- and four-body couplings
• Temperature and filling dependence of the superconducting $\pi$-phase in the Penson-Kolb-Hubbard model
• Metastability and phase separation in a simple model of a superconductor with extremely short coherence length
• Superconductivity, metastability and magnetic field induced phase separation in the atomic limit of the Penson-Kolb-Hubbard model
• The magnetic field induced phase separation in a model of a superconductor with local electron pairing
• Suppression of superfluid stiffness near Lifshitz-point instability to finite momentum superconductivity
• Some properties of two dimensional extended repulsive Hubbard model with intersite magnetic interactions - a Monte Carlo study
• Interplay and competition between superconductivity and charge orderings in the zero-bandwidth limit of the extended Hubbard model with pair hopping and on-site attraction
• Phase separation of superconducting phases in the Penson-Kolb-Hubbard model
• Band and filling controlled transitions in exactly solved electronic models
• Probe-type of superconductivity by impurity in materials with short coherence length: the s-wave and $\eta$-wave phases study
• Exact thermodynamics of an Extended Hubbard Model of single and paired carriers in competition
• Thermodynamic and electromagnetic properties of the eta-pairing superconductivity in the Penson-Kolb model
• Topological phases arising from attractive interaction and pair hopping in the Extended Hubbard Model
• Extended Falicov-Kimball model: Hartree-Fock vs DMFT approach
• Revisiting electromagnetic response of superconductors in mean-field approximation
• Floquet-driven crossover from density-assisted tunneling to enhanced pair tunneling
• Coexistence of $s$- and $d$-wave gaps due to pair-hopping and exchange interactions
• Waterlike density anomaly in fermions
• Effect of Fibonacci Modulation On Superconductivity
• The possible frustrated superconductivity in the kagome superconductors
• Order by projection in single-band Hubbard model: a DMRG study