Ground state energy of the low density hubbard model

R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.


Journal Article | Published
Author
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.
Publishing Year
Date Published
2008-06-01
Journal Title
Journal of Statistical Physics
Volume
131
Issue
6
Page
1139 - 1154
IST-REx-ID

Cite this

Seiringer R, Yin J. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 2008;131(6):1139-1154. doi:10.1007/s10955-008-9527-x
Seiringer, R., & Yin, J. (2008). Ground state energy of the low density hubbard model. Journal of Statistical Physics, 131(6), 1139–1154. https://doi.org/10.1007/s10955-008-9527-x
Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics 131, no. 6 (2008): 1139–54. https://doi.org/10.1007/s10955-008-9527-x.
R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,” Journal of Statistical Physics, vol. 131, no. 6, pp. 1139–1154, 2008.
Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 131(6), 1139–1154.
Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics, vol. 131, no. 6, Springer, 2008, pp. 1139–54, doi:10.1007/s10955-008-9527-x.

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