Phases of the half-filled extended Fermi-Hubbard model

Abstract

This work has consisted on finding Mott insulating phases for a Hubbard model at half-filling. The numerical simulations have been performed with Time-Evolving Block Decimation, a tensor network method. Two interaction terms have been considered: on-site repulsion U and next-neighbour repulsion V . The introduction of the first has allowed to observe a spin density wave phase that lost kinetic energy with on-site repulsion strength, and the latter has shown a distortion of the SDW antiferromagnetic ordering with a phase transition at V = U/2, in which the fermion ordering changes to charge density wave. The results show that simulations of the Hubbard model can be carried out in an optimal and satisfactory way using tensor network formalism