Strong coupling phases of the $t-t^{\prime }$ Hubbard model

Abstract

We study the strong coupling regime of the $t-t^{\prime }$ Hubbard model,filled up to the level of the van Hove singularities, by means of an exact diagonalization approach. We characterize the different phases of the model by the different sectors of the Hilbert space with given quantum numbers. By looking for the ground state of the system, we find essentially the competition between a state with incipient ferromagnetism and other mimicking a $d$-wave condensate, which has the lowest energy in a large region of the phase space.

4 pages,LaTEX,4 figures

References in corpus (1)

• Ferromagnetism in the two dimensional t-t' Hubbard model at the Van Hove density

Cited by in corpus (4)

• Superconducting, ferromagnetic and antiferromagnetic phases in the t-t' Hubbard model
• Enhancement of the d_{x^2-y^2} pairing correlation in the two-dimensional Hubbard model: a quantum Monte Carlo study
• Instability of Anisotropic Fermi Surfaces in Two Dimensions
• Microscopic description of d-wave superconductivity by Van Hove nesting in the Hubbard model