I. A model for the magnetic equation of state of liquid sup 3 He. II. An induced interaction model for a two-component Fermi liquid

Thesis/Dissertation · Fri Jan 01 04:00:00 EST 1988

OSTI ID:5504393

Sanchez-Castro, C R

This dissertation is divided in six chapters. Chapter 1 is an introduction to the rest of the dissertation. In it, the author presents the different models for the magnetic equation state of liquid {sup 3}He, a derivation of the induced interaction equations for a one component Fermi liquid, and discuss the basic hamiltonian describing the heavy fermion compounds. In Chapter 2 and Chapter 3, he presents a complete discussion of the thermodynamics and Landau theory of a spin polarized Fermi liquid. A phenomenological model is then developed to predict the polarization dependence of the longitudinal Landau parameters in liquid {sup 3}He. This model predicts a new magnetic equation of state and the possibility of liquid {sup 3}He being nearly metamagnetic' at high pressures. Chapter 4 contains a microscopic calculation of the magnetic field dependence of the Landau parameters in a strongly correlated Fermi system using the induced interaction model. The system he studied consists of a single component Fermi liquid with parabolic energy bands, and a large on-site repulsive interaction. In Chapter 5, he presents a complete discussion of the Landau theory of a two component Fermi liquid. Then, he generalizes the induced interaction equations to calculate Landau parameters and scattering amplitudes for an arbitrary, spin polarized, two component Fermi liquid. The resulting equations are used to study a model for the heavy fermion Fermi liquid state: a two band electronic system with an antiferromagnetic interaction between the two bands. Chapter 6 contains the concluding remarks of the dissertation.

• Research Organization: State Univ. of New York, Stony Brook, NY (United States)
• OSTI ID: 5504393
• Country of Publication: United States
• Language: English

Related Subjects

665000 -- Physics of Condensed Matter-- (1992-)
665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
EQUATIONS
EQUATIONS OF STATE
EVEN-ODD NUCLEI
FERMI GAS
FLUIDS
GASES
HAMILTONIANS
HELIUM 3
HELIUM ISOTOPES
ISOTOPES
LANDAU LIQUID HELIUM THEORY
LIGHT NUCLEI
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEI
QUANTUM OPERATORS
STABLE ISOTOPES
SUPERFLUIDITY
THERMODYNAMICS