Generalized Ginzburg-Landau theory for superfluid /sup 3/He and application to helical textures in /sup 3/He-A

Journal Article · Sat Nov 01 04:00:00 EST 1980 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00117943· OSTI ID:6676137

Schopohl, N; Tewordt, L

We first discuss the generalized Eilenberger equations for superfluid /sup 3/He in the presence of a magnetic field and for uniform rotation of the system. These equations determine the space-dependent Green's function, the free energy density, and the supercurrent density at all temperatures. From these equations we derive the generalized Ginzburg-Landau series expansions in powers of spatial derivatives and the order parameter. This is in contrast to Cross' generalized Ginzburg-Landau approach, which takes into account only spatial derivatives up to second order. Explicit expressions are given for the corrections of order (1-T/T/sub c/) to the well-known expressions for the bending energy, magnetic anisotropy energy, and superfluid current. With the help of these expressions we calculate the stability regions of uniform and helical textures in the superflow-field phase diagram. For decreasing temperature these regions are found to become smaller. The stability region of the uniform texture vanishes at T/sup 0//sub h/approx.0.88T/sub c/, in agreement with Fetter's result.

• Research Organization: Abteilung fuer Theoretische Festkoerperphysik, Universitaet Hamburg, Hamburg, West Germany
• OSTI ID: 6676137
• Journal Information: J. Low Temp. Phys.; (United States), Journal Name: J. Low Temp. Phys.; (United States) Vol. 41:3; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
ENERGY
EVEN-ODD NUCLEI
FREE ENERGY
FUNCTIONS
GINZBURG-LANDAU THEORY
GREEN FUNCTION
HELIUM 3
HELIUM 3 A
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
MAGNETIC FIELDS
MOTION
NUCLEI
ORDER PARAMETERS
PHYSICAL PROPERTIES
ROTATION
STABILITY
STABLE ISOTOPES
THERMODYNAMIC PROPERTIES