Twisting in superfluid THe-A and consequences for hydrodynamics at T = 0

Journal Article · Wed Jan 01 04:00:00 EST 1986 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.33.79· OSTI ID:6174455

Combescot, R; Dombre, T

We study the effects of twisting on the low-energy excitations of superfluid THe-A. They are small compared to the effects of bending, but they have a different symmetry which makes them important. The structure of the excitation wave functions has strong analogies with the eigenstates of a charged particle in a magnetic field. The group velocity is parallel to curl l. The density of states at zero energy has a contribution proportional to twisting which is odd with respect to k. Because of this term a density fluctuation produces a fluctuation of the current carried by the excitations. This current fluctuation turns out to be exactly equal to the fluctuation of the C0 term in the current. This shows that the C0 term fluctuation is carried by the normal liquid and leads us to believe that the C0 term as a whole is linked to the normal liquid. Since calculations making use of the Bardeen-Cooper-Schrieffer wave function consider only the condensate, our results offer a possible explanation for the ''angular-momentum paradox.'' We physically interpret the v/sub n/ term in the Josephson equation at T = 0 and show that it is readily obtained from the microscopic description of the normal liquid. In the same way we deduce from the momentum conservation law an equation of motion for v/sub n/ and we show that it can be entirely understood from the microscopic framework.

• Research Organization: Groupe de Physique des Solides de l' Ecole Normale Superieure, 24 rue Lhomond, 75231 Paris Cedex 05, France
• OSTI ID: 6174455
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 33:1; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

640450* -- Fluid Physics-- Superfluidity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
BCS THEORY
COLLECTIVE EXCITATIONS
CONSERVATION LAWS
CURRENTS
DIFFERENTIAL EQUATIONS
ENERGY-LEVEL DENSITY
ENERGY-LEVEL TRANSITIONS
EQUATIONS
EQUATIONS OF MOTION
EVEN-ODD NUCLEI
EXCITATION
FLUCTUATIONS
FLUID MECHANICS
FUNCTIONS
HELIUM 3
HELIUM 3 A
HELIUM ISOTOPES
HYDRODYNAMICS
ISOTOPES
JOSEPHSON EFFECT
LIGHT NUCLEI
MECHANICS
NUCLEI
PARTIAL DIFFERENTIAL EQUATIONS
STABLE ISOTOPES
TORSION
VARIATIONS
WAVE FUNCTIONS