About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
Journal of Applied Physics
Paper
Correlation of electrons in a degenerate band
Abstract
The ground-state wavefunction for electrons in a doubly degenerate tight binding band has been investigated by the variational method [M. C. Gutzwiller, Phys. Rev. 137, A1726 (1965). To be referred to as G.III.] The model Hamiltonian consists of a d band with intra-atomic Coulomb interactions between both d states. The expectation values for the approximate ground state are obtained by counting the various configurations as in the earlier work on correlation in a nondegenerate band. Simple criteria are found for the occurrence of ferromagnetism and of a metal-insulator transition, using the approach of Brinkman and Rice in the latter case [W. F. Brinkman and T. M. Rice, Phys. Rev. B 2, 4302 (1970)]. If the density of states is large at the band edge, the ground state of electrons goes from paramagnetic metallic, through an intermediate ferromagnetic metallic state, to insulating as the intra-atomic Coulomb interaction is increased. © 1971 The American Institute of Physics.