Landau-Ginsburg equations for an anisotropic superfluid
- 1 June 1974
- journal article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 9 (6), 2676-2685
- https://doi.org/10.1103/physreva.9.2676
Abstract
A discussion of an anisotropic ( state) Fermi superfluid with a spatially varying order parameter is presented. We restrict ourself to the Landau-Ginzburg region and consider spatial variations governed by the linear gap equation. The kernel of the linearized gap equation is shown to be related to a current-current correlation function of quasiparticles in the normal state. This relation permits the calculation of the two coherence lengths and defined earlier in the framework of a phenomenological Landau-Ginzburg theory, and a discussion of boundary conditions for the order parameter at interfaces. A significant anisotropy in the coherence lengths is found (), which reflects itself in the nature of the supercurrents. The boundary conditions at specularly and diffusely reflecting surfaces lead us to expect that the vector , which describes the orbital angular momentum of a Cooper pair in an "axial" state, is anchored normal to the walls. Some consequences of these results on various experimental problems (fourth sound, monodomain production, Josephson couplings, behavior in thin capillaries) are briefly discussed.
Keywords
This publication has 13 references indexed in Scilit:
- NMR frequency in superfluid phases ofPhysical Review A, 1974
- Microscopic Theory of NMR in an Anisotropic Superfluid ()Physical Review Letters, 1973
- Long range distortions in an anisotropic superfluidPhysics Letters A, 1973
- Ginzburg-Landau Approach toPairingPhysical Review Letters, 1973
- Anisotropic Superfluidity in: A Possible Interpretation of Its Stability as a Spin-Fluctuation EffectPhysical Review Letters, 1973
- Thermal Anomalies of: Pairing in a Magnetic FieldPhysical Review Letters, 1973
- Interpretation of Recent Results onbelow 3 mK: A New Liquid Phase?Physical Review Letters, 1972
- New Magnetic Phenomena in Liquidbelow 3 mKPhysical Review Letters, 1972
- Superconductivity with Pairs in a RelativeWavePhysical Review B, 1963
- Generalized Bardeen-Cooper-Schrieffer States and the Proposed Low-Temperature Phase of LiquidPhysical Review B, 1961