Finite-size scaling in two-dimensional superfluids

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

DOI:https://doi.org/10.1103/PhysRevB.49.12071· OSTI ID:5007538

Schultka, N; Manousakis, E ^[1]

---

1. 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), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 49:17; ISSN PRBMDO; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CALCULATION METHODS
COMPUTERIZED SIMULATION
DENSITY
EVEN-EVEN NUCLEI
FILMS
HELIUM 4
HELIUM ISOTOPES
ISOTOPES
KOSTERLITZ-THOULESS THEORY
LIGHT NUCLEI
MONTE CARLO METHOD
NUCLEI
PHYSICAL PROPERTIES
SCALING
SIMULATION
STABLE ISOTOPES
SUPERFLUIDITY
TEMPERATURE DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS