Flux phase states of the Hubbard model

Yuge Chen, Kun Jiang, Yi Zhang +1 more

Assa Auerbach

Aniket Bhattacharya, C. S. Wang

Kinetic and magnetic energies are calculated for the two-dimensional Hubbard model using the variational Monte Carlo method and including a fictitious flux phase. In contrast to earlier results for the two-dimensional t-J model, we found all the flux phases studied lie higher in energy than the paramagnetic or the antiferromagnetic states. Near half-filling, the t-J model with no double occupancy on a lattice site is dominated by the magnetic energy, while the Hubbard model with partial double occupancy is dominated by the kinetic energy. When flux phases are introduced into the Hubbard model, the decrease in the magnetic energy is not nearly enough to offset the cost in kinetic energy.

J. Monecke

Fumihiko Nakano

We give a simple proof to derive the optimal flux which minimizes the ground state energy in one dimensional Hubbard model, provided the number of particles is even. KEY WORDS: Hubbard model, flux phase problem. 1

M W Long