--- res: bibo_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.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Robert foaf_name: Robert Seiringer foaf_surname: Seiringer foaf_workInfoHomepage: http://www.librecat.org/personId=4AFD0470-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-6781-0521 - foaf_Person: foaf_givenName: Jun foaf_name: Yin, Jun foaf_surname: Yin bibo_doi: 10.1007/s10955-008-9527-x bibo_issue: '6' bibo_volume: 131 dct_date: 2008^xs_gYear dct_publisher: Springer@ dct_title: Ground state energy of the low density hubbard model@ ...