Tensor renormalization group approach to (1+1)-dimensional Hubbard model

Abstract

We investigate the metal-insulator transition of the (1+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. The critical chemical potential ${\mu }_{\mathrm{c}}$ and the critical exponent $\nu$ are determined from the $\mu$ dependence of the electron density in the thermodynamic limit. Our results for ${\mu }_{\mathrm{c}}$ and $\nu$ show consistency with an exact solution based on the Bethe ansatz. Our encouraging results indicate the applicability of the tensor renormalization group method to the analysis of higher-dimensional Hubbard models.

Comments: 15 pages, 7 figures