Zero-temperature attenuation and transverse spin dynamics in Fermi liquids. I. Generalized Landau theory

Journal Article · Tue Dec 01 04:00:00 EST 1992 · Journal of Low Temperature Physics; (United States)

DOI:https://doi.org/10.1007/BF00683887· OSTI ID:6784103

Meyerovich, A E; Musaelian, K A ^[1]

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1. Univ. of Rhode Island, Kingston (United States)

This is the first in a series of papers on a consistent microscopic theory of transverse dynamics in spin-polarized or binary Fermi liquids. The authors start from exact microscopic equations in Green's functions at zero temperatures and consider slightly inhomogeneous perturbations. The transverse dynamics is described by an integral equation in a 4D momentum space with inevitable spatial and temporal non-localities. This equation can be reduced only to a set of two coupled equations for partial transverse densities corresponding to independent contributions to a transverse magnetic moment from transverse components of slightly tilted up and down spins. It is shown that, in contrast to previous phenomenological theories of polarized Fermi liquids, these equations reduce to a single Landau-like kinetic equation only in cases of low polarization or density. This implies the existence of two different sorts of (attenuating) transverse quasi-particles. The molecular field (an analog of a Landau function) has a form of a 4-component non-local operator. This interaction operator is expressed via the off-diagonal component of the exact irreducible vertex with the help of some integral equation, and cannot be given, as it is usually assumed, as any limit of the full vertex. The proper Landau-like phenomenological approach corresponding to the exact microscopic equations, should operate with two types of attenuating transverse quasi-particles each oscillating between its Fermi surface and some other 3D surface in a 4D momentum space. The dephasing of inhomogeneous precession between two different types of dressed transverse quasi-particles leads to an inhomogeneous broadening which manifests itself as a peculiar zero-temperature relaxation. 23 refs., 6 figs.

• OSTI ID: 6784103
• Journal Information: Journal of Low Temperature Physics; (United States), Journal Name: Journal of Low Temperature Physics; (United States) Vol. 89:5-6; ISSN JLTPAC; ISSN 0022-2291
• Country of Publication: United States
• Language: English

Related Subjects

665430* -- Other Topics in Quantum Fluids & Solids-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANGULAR MOMENTUM
ATTENUATION
DYNAMICS
FERMI GAS
FLUIDS
GASES
MAGNETIC MOMENTS
MECHANICS
ORIENTATION
PARTICLE PROPERTIES
POLARIZATION
QUASI PARTICLES
RELAXATION
SPIN
SPIN ORIENTATION
TEMPERATURE ZERO K