The superfluid properties of the attractive Hubbard model in a Zeeman magnetic field, and in the weak coupling regime were investigated.The temperature and magnetic field dependences of the order parameter were analyzed.Furthermore, the temperature vs. magnetic field and temperature vs. spin polarization phase diagrams for the 2D and 3D lattices were obtained.For some parameters a reentrant transition was found.

arXiv:0808.1578Acta Physica Polonica AJul 1, 20088 citations

Journal of Magnetism and Magnetic Materials

Magnetic couplings in the hubbard model

Eleftherios N. Economou, P. M. Mihas

Published Jan 1, 1978• 0 citations

Publisher

DOI: 10.1016/0304-8853(78)90214-7

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The

\mathrm{SU}(N)

Hubbard model is a natural extension of the

\mathrm{SU}(2)

model. However, even the

N=3

case remains poorly understood. We report a ground-state phase diagram of the square lattice

\mathrm{SU}(3)

Fermi-Hubbard model. Using a backflow Ansatz, we identify strong signatures of a Mott transition and a subsequent magnetic transition, and the suppression of a previously predicted magnetic phase. We study the hole-doped model, identifying a transition from magnetic to paramagnetic behavior in the strong-coupling regime. Our findings offer a different ground-state picture. More broadly, our work suggests a path to study general

\mathrm{SU}(N)

Hubbard models with arbitrary filling and geometry.