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10 November 2024
 
  » arxiv » cond-mat/9310034

 Article overview



Finite-Size Scaling in Two-Dimensional Superfluids
Norbert Schultka ; Efstratios Manousakis ;
Date 14 Oct 1993
Subject cond-mat hep-lat
AbstractUsing the $x-y$ model and a non-local updating scheme called cluster Monte Carlo, we calculate the superfluid density of a two dimensional superfluid on large-size square lattices $L imes L$ up to $400 imes 400$. This technique allows us to approach temperatures close to the critical point, and by studying a wide range of $L$ 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.
Source arXiv, cond-mat/9310034
Other source [GID 266389] pmid10010081
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