Finite-size scaling in two-dimensional superfluids
- Department of Physics, Florida State University, Tallahassee, Florida 32306 (United States)
Using the [ital x]-[ital y] model and a nonlocal updating scheme called cluster Monte Carlo, we calculate the superfluid density of a two-dimensional superfluid on large-size square lattices [ital L][times][ital L] up to 400[times]400. This technique allows us to approach temperatures close to the critical point, and by studying a wide range of [ital L] values and applying finite-size scaling theory we are able to extract the critical properties of the system. We calculate the superfluid density and from that we extract the renormalization-group beta function. We derive finite-size scaling expressions using the Kosterlitz-Thouless-Nelson renormalization group equations and show that they are in very good agreement with our numerical results. This allows us to extrapolate our results to the infinite-size limit. We also find that the universal discontinuity of the superfluid density at the critical temperature is in very good agreement with the Kosterlitz-Thouless-Nelson calculation and experiments.
- OSTI ID:
- 5007538
- Journal Information:
- Physical Review, B: Condensed Matter; (United States), Vol. 49:17; ISSN 0163-1829
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HELIUM 4
SUPERFLUIDITY
COMPUTERIZED SIMULATION
DENSITY
FILMS
KOSTERLITZ-THOULESS THEORY
MONTE CARLO METHOD
SCALING
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
CALCULATION METHODS
EVEN-EVEN NUCLEI
HELIUM ISOTOPES
ISOTOPES
LIGHT NUCLEI
NUCLEI
PHYSICAL PROPERTIES
SIMULATION
STABLE ISOTOPES
665420* - Superfluidity- (1992-)