Crossover from two- to three-dimensional behavior in superfluids

Journal Article · Mon May 01 04:00:00 EDT 1995 · Physical Review, B: Condensed Matter

DOI:https://doi.org/10.1103/PhysRevB.51.11712· OSTI ID:44535

Schultka, N; Manousakis, E ^[1]

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1. Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)

We have studied the superfluid density {rho}{sub {ital s}} on various size lattices in the geometry {ital L}{times}{ital L}{times}{ital H} by numerical simulation of the {ital x}-{ital y} model using the cluster Monte Carlo method. Applying the Kosterlitz-Thouless-Nelson renormalization-group equations for the superfluid density we have been able to extrapolate to the {ital L}{r_arrow}{infinity} limit for a given value of {ital H}. In the superfluid phase we find that the superfluid density faithfully obeys the expected scaling law with {ital H}, using the experimental value for the critical exponent {nu}=0.6705. For the sizes of film thickness studied here the critical temperature {ital T}{sub {ital c}}{sup 2D}({ital H}) is in agreement with the expected {ital H} dependence deduced from general scaling ideas.

• OSTI ID: 44535
• Journal Information: Physical Review, B: Condensed Matter, Journal Name: Physical Review, B: Condensed Matter Journal Issue: 17 Vol. 51; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
KOSTERLITZ-THOULESS THEORY
MAGNETIC FIELDS
MONTE CARLO METHOD
NUMERICAL SOLUTION
RENORMALIZATION
SCALING LAWS
SUPERFLUIDITY