Symmetry Properties on Magnetization in the Hubbard Model at Finite Temperatures

Details Symmetry Properties on Magnetization in the Hubbard Model at Finite Temperatures Symmetry Properties on Magnetization in the Hubbard Model at Finite Temperatures

1998-03-10

arxiv.org/abs/cond-mat/9803106v1

Phys. Rev. B57, 13367 (1998).

Physics

Condensed Matter

Strongly Correlated Electrons

Latex file, no figure

Scientific paper

10.1103/PhysRevB.57.13367

By making use of some symmetry properties of the relevant Hamiltonian, two fundamental relations between the ferromagnetic magnetization and a spin correlation function are derived for the $d (=1,2,3)$-dimensional Hubbard model at finite temperatures. These can be viewed as a kind of Ward-Takahashi identities. The properties of the magnetization as a function of the applied field are discussed. The results thus obtained hold true for both repulsive and attractive on-site Coulomb interactions, and for arbitrary electron fillings.

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