The $\beta$-expansion of the $D=1$ fermionic spinless Hubbard model off the half-filling regime

Autor: Silva, E. V. Corrêa, Thomaz, M. T., Rojas, O.
Rok vydání: 2015
Předmět:
Zdroj: Condensed Matter Physics, 2015, vol. 18, No. 3, 33003
Druh dokumentu: Working Paper
DOI: 10.5488/CMP.18.33003
Popis: 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 $\beta^8$.
Comment: 12 pages, 3 figures
Databáze: arXiv