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

27 Jul 2021, 22:45
15m
Oral presentation Theoretical developments and applications beyond particle physics Theoretical developments and applications beyond particle physics

Speaker

Shinichiro Akiyama (University of Tsukuba)

Description

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 $\mu_{\rm c}$ and the critical exponent $\nu$ are determined from the $\mu$ dependence of the electron density in the thermodynamic and zero-temperature limit. Our results for $\mu_{\rm c}$ and $\nu$ show consistency with the 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.

Primary author

Shinichiro Akiyama (University of Tsukuba)

Co-author

Yoshinobu Kuramashi (University of Tsukuba)

Presentation materials