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arXiv · 2105.00372

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

Shinichiro Akiyama·Yoshinobu Kuramashi
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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 $\mu_{\rm c}$ and the critical exponent $\nu$ are determined from the $\mu$ dependence of the electron density in the thermodynamic limit. Our results for $\mu_{\rm c}$ 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.

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BibTeXRIS

Shinichiro Akiyama, Yoshinobu Kuramashi. 2021-05-02. Tensor renormalization group approach to (1+1)-dimensional Hubbard model. https://doi.org/10.1103/physrevd.104.014504

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