Effects of longer-range interactions on unconventional superconductivity

Abstract

We analyze the effect of the non-vanishing range of electron-electron repulsion on the mechanism of unconventional superconductivity. We present asymptotically exact weak-coupling results for dilute electrons in the continuum and for the 2D extended Hubbard model, as well as density-matrix renormalization group results for the two-leg extended Hubbard model at intermediate couplings, and approximate results for the case of realistically screened Coulomb interactions. We show that $T_c$ is generally suppressed in some pairing channels as longer range interactions increase in strength, but superconductivity is not destroyed. Our results confirm that electron-electron interaction can lead to unconventional superconductivity under physically realistic circumstances.

12 pages, 7 figures

References in corpus (14)

• Funtional Renormalization Group Study of the Pairing Symmetry and Pairing Mechanism of the FeAs Based High Temperature Superconductors
• Superconductivity in the repulsive Hubbard model: an asymptotically exact weak-coupling solution
• Strongly Correlated Superconductivity: a plaquette Dynamical mean field theory study
• Kohn-Luttinger superconductivity in graphene
• Protected nodes and the collapse of the Fermi arcs in high Tc cuprates
• Universality Classes of Metal-Insulator Transitions in Strongly Correlated Electron Systems and Mechanism of High-Temperature Superconductivity
• Gap anisotropy and universal pairing scale in a spin fluctuation model for cuprates
• Competition between antiferromagnetism and superconductivity, electron-hole doping asymmetry and "Fermi Surface" topology in cuprates
• Superconductivity from repulsive interactions in the two dimensional electron gas
• Unconventional high-temperature superconductivity from repulsive interactions: theoretical constraints
• Triplet p-wave superconductivity in low-density extended Hubbard model with Coulomb repulsion
• Enhanced Pairing in the "Checkerboard" Hubbard Ladder
• Spin-orbit coupling induced enhancement of superconductivity in a two-dimensional repulsive gas of fermions
• Microscopic Inhomogeneity and Superconducting Properties of a Two-dimensional Hubbard Model for High-$T_c$ Cuprate

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