Superconductivity from long-range interaction: A crossover between the electron 
gas and the lattice model

Onari, S.; Arita, R.; Kuroki, K.; Aoki, H.

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Superconductivity from long-range interaction: A crossover between the electron gas and the lattice model

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Arita, R.
Department Quantum Many-Body Theory (Walter Metzner), Max Planck Institute for Solid State Research, Max Planck Society;

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Onari, S., Arita, R., Kuroki, K., & Aoki, H. (2006). Superconductivity from long-range interaction: A crossover between the electron gas and the lattice model. Physical Review B, 73(1): 014526.

Cite as: https://hdl.handle.net/21.11116/0000-000F-02B3-4

Abstract

We explore how the superconductivity arising from the on-site
electron-electron repulsion changes when the repulsion is made
long-ranged, 1/r-like interaction by introducing an extended Hubbard
model with the repulsion extended to distant (12th) neighbors. With a
simplified fluctuation-exchange approximation, we have found for the
square lattice that: (i) As the band filling becomes dilute enough, the
charge susceptibility becomes comparable with the spin susceptibility,
where p- and then s-wave pairings become relatively dominant, in
agreement with the result for the electron gas by Takada, while (ii)
the d wave, which reflects the lattice structure, dominates well away
from the half-filling. All of these can be understood in terms of the
spin and charge structures along with the shape and size of the Fermi
surface.