Ground state energy of the low density Hubbard model. An upper bound

Details Ground state energy of the low density Hubbard model. An upper bound Ground state energy of the low density Hubbard model. An upper bound

2006-11-14

arxiv.org/abs/math-ph/0611034v2

J. Math. Phys. 48, 023302 (2007)

Physics

Mathematical Physics

13 pages; Version accepted for publication on the Journal of Mathematical Physics; minor changes

Scientific paper

10.1063/1.2437650

We derive an upper bound on the ground state energy of the three-dimensional (3D) repulsive Hubbard model on the cubic lattice agreeing in the low density limit with the known asymptotic expression of the ground state energy of the dilute Fermi gas in the continuum. As a corollary, we prove an old conjecture on the low density behavior of the 3D Hubbard model, i.e., that the total spin of the ground state vanishes as the density goes to zero.

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