CDMFT+HFD : an extension of dynamical mean field theory for nonlocal interactions applied to the single band extended Hubbard model
arxiv(2023)
摘要
We examine the phase diagram of the extended Hubbard model on a square
lattice, for both attractive and repulsive nearest-neighbor interactions, using
CDMFT+HFD, a combination of Cluster Dynamical Mean Field theory (CDMFT) and a
Hartree-Fock mean-field decoupling of the inter-cluster extended interaction.
For attractive non-local interactions, this model exhibits a region of phase
separation near half-filling, in the vicinity of which we find pockets of
d-wave superconductivity, decaying rapidly as a function of doping, with
disconnected patches of extended s-wave order at smaller (higher) electron
densities. On the other hand, when the extended interaction is repulsive, a
Mott insulating state at half-filling is destabilized by hole doping, in the
strong-coupling limit, in favor of d-wave superconductivity. At the
particle-hole invariant chemical potential, we find a first-order phase
transition from antiferromagnetism (AF) to d-wave superconductivity as a
function of the attractive nearest-neighbor interaction, along with a deviation
of the density from the half-filled limit. A repulsive extended interaction
instead favors charge-density wave (CDW) order at half-filling.
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