The $\beta$-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 ($\mu \ne V$), 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 ${\beta }^8$.

12 pages, 3 figures

References in corpus (5)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
• High Temperature Expansion for a Chain Model
• A Comment on the beta-expansion of s=1/2 and s=1 Ising Models
• On the particle-hole symmetry of the fermionic spinless Hubbard model in $D=1$