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 identity. 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.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 identity. 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.

arXiv:cond-mat/9803106Physical review. B, Condensed matterJun 1, 19984 citations

Magnetic properties of the hubbard model with infinite interactions

V. Ya. Krivnov, Alexander A. Ovchinnikov, Vladyslav O. Cheranovskii

Synthetic MetalsNov 1, 198925 citations

Finite-Temperature Magnetism in the Hubbard Model

Yolande H. Szczech, Michael A. Tusch, David E. Logan

A novel and physically transparent approach to the finite-temperature Hubbard model at half filling is proposed. It recovers not only the correct dimensionality dependence of antiferromagnetism but, in $d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3$ , interpolates properly between weak and strong coupling interaction strengths for the N\'eel temperature, and enables extraction of related thermodynamic properties.A novel and physically transparent approach to the finite-temperature Hubbard model at half filling is proposed. It recovers not only the correct dimensionality dependence of antiferromagnetism but, in $d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3$, interpolates properly between weak and strong coupling interaction strengths for the N\'eel temperature, and enables extraction of related thermodynamic properties.

Physical Review LettersApr 3, 199528 citations

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 identity. 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.

d\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3

, interpolates properly between weak and strong coupling interaction strengths for the N\'eel temperature, and enables extraction of related thermodynamic properties.