Topological Landau-Ginzburg theory for vortices in superfluid [sup 4]He

Journal Article · Wed Jun 01 04:00:00 EDT 1994 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.49.15870· OSTI ID:7116478

Hatsuda, M ^[1]; Yahikozawa, S ^[2]; Ao, P; Thouless, D J ^[3]

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1. Department of Physics, Kyoto University, Kyoto 606-01 (Japan) Physics Department, FM-15, University of Washington, Seattle, Washington 98195 (United States)
2. Department of Physics, Kyoto University, Kyoto 606-01 (Japan)
3. Physics Department, FM-15, University of Washington, Seattle, Washington 98195 (United States)

We propose a modified Landau-Ginzburg theory for arbitrarily shaped vortex strings in superfluid [sup 4]He. The theory contains a topological term and directly describes vortex dynamics. We introduce gauge fields in order to remove singularities from the Landau-Ginzburg order parameter of the superfluid, so that two kinds of gauge symmetries appear, making the continuity equation and conservation of the total vorticity manifest. The topological term gives rise to the Berry phase term in the vortex mechanical actions.

• OSTI ID: 7116478
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:22; ISSN 0163-1829; ISSN PRBMDO
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CONTINUITY EQUATIONS
DIFFERENTIAL EQUATIONS
EQUATIONS
FLUID FLOW
GINZBURG-LANDAU THEORY
ORDER PARAMETERS
PARTIAL DIFFERENTIAL EQUATIONS
SUPERFLUIDITY
VORTEX FLOW