The Langevin method and Hubbard-like models

Lorena Romero-Salazar, R. M. Velasco

Kazuo Saitoh, Satoshi Takada

The two-dimensional (2-D) Hubbard model with nearest-neighbor and next-nearest-neighbor (n.n.n.) hopping are studied using the Langevin method. Results of the staggered magnetic susceptibility and the pairing susceptibilities are shown. It is found that the effect of n.n.n. hopping destroys the antiferromagnetic correlation and assists the tendency of pairing. The possibility of superconductivity in the Hubbard model in the presence of n.n.n. hopping is discussed.

Cary Mcilwaine Maguire

Arata Yamamoto, Tomoya Hayata

The complex Langevin method is one hopeful candidate to tackle the sign problem. This method is applicable not only to QCD but also to nonrelativistic field theory, such as condensed matter physics. We present the simulation results of a rotating Bose gas and an imbalanced Fermi-Hubbard model.

Ian T. Drummond, R.R. Horgan

Sandro Sorella