Dimensionality crossover of the {sup 4}He superfluid transition in a slab geometry

Journal Article · Wed Nov 01 04:00:00 EST 1995 · Journal of Low Temperature Physics

DOI:https://doi.org/10.1007/BF00753330· OSTI ID:183400

Williams, G A ^[1]

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1. Univ. of California, Los Angeles, CA (United States)

The superfluid density of liquid {sup 4}He is computed from vortex renormalization theories for the case of a slab geometry with a slab height L. With increasing temperature there is a crossover from three dimensions to two as the size of the largest vortex rings approaches L and they intersect with the walls, forming vortex pairs. The superfluid density becomes anisotropic, with the component parallel to the slab undergoing the universal Kosterlitz-Thouless jump, while the perpendicular component remains finite. The results are in agreement with both finite-size scaling and Monte-Carlo simulations.

• Sponsoring Organization: USDOE
• OSTI ID: 183400
• Report Number(s): CONF-950676--; CNN: Grant DMR 91-20170; Grant DMR 95-00653
• Journal Information: Journal of Low Temperature Physics, Journal Name: Journal of Low Temperature Physics Journal Issue: 3-4 Vol. 101; ISSN JLTPAC; ISSN 0022-2291
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
66 PHYSICS
HELIUM 4
MONTE CARLO METHOD
RENORMALIZATION
SUPERFLUIDITY
TEMPERATURE DEPENDENCE
TRANSITION TEMPERATURE