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Metal-insulator transition in (2+1)-dimensional Hubbard model with tensor renormalization group

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arxiv 2109.14149 v2 pith:VV7LKRQA submitted 2021-09-29 cond-mat.str-el hep-lat

Shinichiro Akiyama , Yoshinobu Kuramashi , Takumi Yamashita This is my paper · ORCID
classification cond-mat.str-elhep-lat
keywords metal-insulatormodeltransitionhubbardlanglepotentialranglechemical
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We investigate the doping-driven metal-insulator transition of the (2+1)-dimensional Hubbard model in the path-integral formalism with the tensor renormalization group method. We calculate the electron density $\langle n\rangle$ as a function of the chemical potential $\mu$ choosing three values of the Coulomb potential with $U=80$, $8$, and $2$ as representative cases of the strong, intermediate, and weak couplings. We have determined the critical chemical potential at each $U$, where the Hubbard model undergoes the metal-insulator transition from the half-filling plateau with $\langle n\rangle=1$ to the metallic state with $\langle n\rangle > 1$. Our results indicate that the model exhibits the metal-insulator transition over the vast region of the finite coupling $U$.

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Cited by 5 Pith papers

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