Author(s):

Seiringer, Robert; Yin, Jun

Article Title: 
Ground state energy of the low density hubbard model

Affiliation 

Abstract: 
We derive a lower bound on the ground state energy of the Hubbard model for given value of the total spin. In combination with the upper bound derived previously by Giuliani (J. Math. Phys. 48:023302, [2007]), our result proves that in the low density limit the leading order correction compared to the ground state energy of a noninteracting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes the density of the spinup (down) particles, and a is the scattering length of the contact interaction potential. This result extends previous work on the corresponding continuum model to the lattice case.

Keywords: 
Scattering length; Ground state energy; Hubbard model; Thermodynamic limit

Journal Title:

Journal of Statistical Physics

Volume: 
131

Issue 
6

ISSN:

15729613

Publisher:

Springer

Date Published:

20080601

Start Page: 
1139

End Page:

1154

URL: 

DOI: 
10.1007/s109550089527x

Open access: 
yes (repository) 