Quantum Monte Carlo Study of a Dynamic Hubbard Model

Details Quantum Monte Carlo Study of a Dynamic Hubbard Model Quantum Monte Carlo Study of a Dynamic Hubbard Model

2007-10-06

arxiv.org/abs/0710.1356v1

Phys. Rev. B77, 014516 (2008)

Physics

Condensed Matter

Superconductivity

Scientific paper

10.1103/PhysRevB.77.014516

The `dynamic' Hubbard Hamiltonian describes interacting fermions on a lattice whose on-site repulsion is modulated by a coupling to a fluctuating bosonic field. We investigate one such model, introduced by Hirsch, using the determinant Quantum Monte Carlo method. Our key result is that the extended s-wave pairing vertex, repulsive in the usual static Hubbard model, becomes attractive as the coupling to the fluctuating Bose field increases. The sign problem prevents us from exploring a low enough temperature to see if a superconducting transition occurs. We also observe a stabilization of antiferromagnetic correlations and the Mott gap near half-filling, and a near linear behavior of the energy as a function of particle density which indicates a tendency toward phase separation.

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