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 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.
- Publication:
-
Physical Review D
- Pub Date:
- July 2021
- DOI:
- 10.1103/PhysRevD.104.014504
- arXiv:
- arXiv:2105.00372
- Bibcode:
- 2021PhRvD.104a4504A
- Keywords:
-
- High Energy Physics - Lattice;
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 15 pages, 7 figures