Ground state energy of the low density hubbard model Journal Article


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 non-interacting lattice Fermi gas is given by 8πaσ uσ d , where σ u(d) denotes the density of the spin-up (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: 1572-9613
Publisher: Springer  
Date Published: 2008-06-01
Start Page: 1139
End Page: 1154
URL:
DOI: 10.1007/s10955-008-9527-x
Open access: yes (repository)
IST Austria Authors
  1. Robert Seiringer
    123 Seiringer
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