Random one-body approximation to the Hubbard model. III. Application to higher-dimensional lattices
- 15 October 1978
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 18 (8), 3968-3975
- https://doi.org/10.1103/physrevb.18.3968
Abstract
In this, the last of a sequence of papers dealing with a new random one-body approximation to the Hubbard Hamiltonian, we examine higher-dimensional systems. Thermodynamics and transport properties (dc conductivity) of the model are calculated using our self-consistent approach. A magnetic phase transition is found to occur at a critical temperature , which seems to be second order when the ratio of the electron-electron repulsion to the unperturbed half-bandwidth exceeds a critical value and first order otherwise. At low temperatures the system is found to be an insulator with nonzero local moment while for high temperatures and low , it is a normal metal with zero local moment. The dc conductivity that we obtain from the present model exhibits a behavior characteristic of certain transition-metal compounds.
Keywords
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