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Physical review. B, Solid state

Spin susceptibility of a class of strong-coupling extended Hubbard chains

J.-P. Gallinar

Published May 1, 1976• 4 citations
Publisher

Abstract

We point out that in the limit of an infinitely strong intraatomic Coulomb repulsion ($U\ensuremath{\rightarrow}\ensuremath{\infty}$), the magnetic behavior of a class of extended Hubbard-model chains is always given by the Curie law.

DOI
10.1103/physrevb.13.4196

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We point out that in the limit of an infinitely strong intraatomic Coulomb repulsion (U\ensuremath→\ensuremath∞U\ensuremath{\rightarrow}\ensuremath{\infty}U\ensuremath→\ensuremath∞), the magnetic behavior of a class of extended Hubbard-model chains is always given by the Curie law.
For an infinite linear chain we consider the strong-coupling ($U\ensuremath{\rightarrow}\ensuremath{\infty}$) limit of an extended Hubbard Hamiltonian which takes into account the nearest-neighbor interatomic Coulomb repulsion. It is shown that the magnetic susceptibility obeys a Curie law, and, to this effect, a theorem is proved pertaining to the partition function. The specific heat is computed for the quarter-filled band to lowest order in the transfer integral. The density-density correlation function and the specific heat are also obtained in the atomic limit for an arbitrary density.
Using the fourth-order perturbation expansion, we have calculated the uniform and the staggered magnetic susceptibility of the sss-band Hubbard model. The Curie and the N\'eel temperatures are derived and the magnetic phase diagrams are constructed. Our calculation improves on the earlier work of Kubo.