J. Phys. IV France
Volume 10, Numéro PR5, March 2000
The 1999 International Conference on Strongly Coupled Coulomb Systems
Page(s) Pr5-389 - Pr5-392
The 1999 International Conference on Strongly Coupled Coulomb Systems

J. Phys. IV France 10 (2000) Pr5-389-Pr5-392

DOI: 10.1051/jp4:2000575

Coulomb, orbital, and spin interactions in 1D exactly solved model

A.F. Zhuravlyov

Institute for Magnetism of National Academy of Sciences of Ukraine, 36-b Vernadskii Str., 252142 Kiev, Ukraine

Large number of actual heavy-fermionic alloys display non-Fermi liquid behavior [l]. Recent achievements in the description of 1D models give the possibility to indicate some mechanisms of forming special properties of fermionic systems. Usual parameters of these models are Coulomb, orbital, and spin interaction. An 1D integrable model of the Hubbard's chain of the electrons with the model orbital interaction is presented. Exact solutions were obtained for different scattering channels of the electrons, namely the spin and orbital one. The preferable channel of the scattering was determined by means of numerical calculations and comparison of the energy levels of each scattering channel. The dependence of the scattering matrix on the parameters of Coulomb, orbital, and spin interactions gives the possibility to present the properties of the considered system in different ranges of these parameters and to determine the values of parameters which correspond to the electron coupling.

© EDP Sciences 2000