Polarization dependence of Landau parameters for normal Fermi liquids in two-dimensions

POSTER

Abstract

Landau's formulation of his normal Fermi liquid theory was a key development in condensed matter and nuclear physics permitting one to describe the behavior and properties of a class of strongly interacting fermions with just a handful of microscopic parameters. We shall examine an application of normal Fermi liquid theory to two-dimensional fermion systems with a finite polarization. Two dimensional systems have practical importance as thin films, devices, and possibly models for certain high T$_{c}$ superconductors. Two dimensions offers one important theoretical advantage: the constant density of states permits calculations to be done exactly which in three dimensions would not be possible. In a low density approach we shall calculate exact, analytic expressions to quadratic order in the s-wave and p-wave interaction parameters for the basic Landau parameters, $f^{\uparrow \uparrow},f^{\uparrow \downarrow },f^{\downarrow \downarrow }$. This will enable us to study the polarization dependence of the state-dependent effective masses, the spin susceptibility, the compressibility, zero sound and spin-zero sound. Application of these results is made by studying and predicting the polarization properties of thin ${ }^3$He films.

Authors

  • David Li

    Washington State University

  • A.N. Behkami

    Kent State University, Reed College, Western Washington University, Washington State University, Department of Physics, University of Idaho, Department of Physics, Whitman College, SciPrint.org, STScI, Physics Dept., Montana State University, Bozeman, MT 59717, Chemistry Dept., Montana State University, Bozeman, MT 59717, Physics Dept., Montana State University, Bozeman, MT 59717; Institut fuer Physik, Technical University Ilmenau, 98693 Ilmenau, Germany, Centre College, Islamic Azad University, Department of Physics, Fars Science and Research Center

  • A.N. Behkami

    Kent State University, Reed College, Western Washington University, Washington State University, Department of Physics, University of Idaho, Department of Physics, Whitman College, SciPrint.org, STScI, Physics Dept., Montana State University, Bozeman, MT 59717, Chemistry Dept., Montana State University, Bozeman, MT 59717, Physics Dept., Montana State University, Bozeman, MT 59717; Institut fuer Physik, Technical University Ilmenau, 98693 Ilmenau, Germany, Centre College, Islamic Azad University, Department of Physics, Fars Science and Research Center