Dissertation
Fermi Liquid Theory in Spin-Polarized Thin 3He Films
Doctor of Philosophy (PhD), Washington State University
01/2014
Handle:
https://hdl.handle.net/2376/5183
Abstract
In this thesis we present results from our study of two-dimensional (2D), spin-polarized Fermi liquid films. We first find the \\textit{T}-matrix interaction parameters in pure $^3$He and $^3$He-$^4$He mixture films by fitting the zero-polarization experimental data of specific heat and spin susceptibility. We can then use these \\textit{T}-matrix interaction parameters to evaluate the Landau parameters in 2D Fermi liquid films at arbitrary polarization. We then evaluate the thermodynamic quantities, i.e. the effective masses, specific heat, spin susceptibility, compressibility, and normal sound speed, at arbitrary polarization. We develope a method to find exact numerical solutions to the Landau kinetic equation(KE) for the speed of zero sound in a 2D Fermi liquid, and calculate its dependence on film density and polarization. We further calculate, both analytically and numerically, the speed and attenuation of the collective excitations in a 2D Fermi liquid within the relaxation time approximation. We derive the analytic expressions for the quasiparticle lifetime at arbitrary polarization, and discuss its polarization dependence. We study the transition from normal sound to zero sound as the temperature is lowered in thin $^3$He films. Finally we compare an alternative method to solve the Landau KE for collective exciatations in 2D Fermi liquid with the standard method introduced by Khalatnikov and Abrikosov(AK), and point out some of its advantages compared with the AK method.
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Details
- Title
- Fermi Liquid Theory in Spin-Polarized Thin 3He Films
- Creators
- Zhaozhe Li
- Contributors
- Michael D Miller (Advisor)Doerte Blume (Committee Member)Peter Engels (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Physics and Astronomy, Department of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Number of pages
- 147
- Identifiers
- 99900581843301842
- Language
- English
- Resource Type
- Dissertation