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

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 μc and the critical exponent ν are determined from the μ dependence of the electron density in the therm...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. D 2021-07, Vol.104 (1), p.1, Article 014504
Main Authors: Akiyama, Shinichiro, Kuramashi, Yoshinobu
Format: Article
Language:English
Subjects:
Chemical potential
Dimensional analysis
Electron density
Exact solutions
Insulators
Mathematical analysis
Metal-insulator transition
Tensors
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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 μc and the critical exponent ν are determined from the μ dependence of the electron density in the thermodynamic limit. Our results for μc and ν 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.014504