The β-expansion of the D=1 fermionic spinless Hubbard model off the half-filling regime
Abstract
We found that when the spinless model is off the half-filling regime ($\mu \neq V$), the Helmholtz free energy (HFE) can be written as two $\beta$-expansions: one expansion comes from the half-filling configuration and another one that depends on the parameter $x = \mu - V$. We show numerically that the chemical potential as a function of temperature satisfies a relation similar to the one derived from the particle-hole symmetry of the fermionic spinless model. We extend the $\beta$-expansion of the HFE of the one-dimensional fermionic spinless Hubbard model up to order $\beta^8$.
- Publication:
-
Condensed Matter Physics
- Pub Date:
- September 2015
- DOI:
- 10.5488/CMP.18.33003
- arXiv:
- arXiv:1510.06531
- Bibcode:
- 2015CMPh...1833003C
- Keywords:
-
- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 12 pages, 3 figures