FINITE-SIZE-SCALING IN 2-DIMENSIONAL SUPERFLUIDS

Article

关键词: CLASSICAL XY-MODEL;    MONTE-CARLO;    HELICITY MODULUS;    RENORMALIZATION-GROUP;    PHASE-TRANSITIONS;    CRITICAL-BEHAVIOR;    HIGH-PRECISION;    VILLAIN MODEL;    2 DIMENSIONS;    SYSTEMS;   

DOI  :  10.1103/PhysRevB.49.12071

来源: SCIE

【 摘 要 】

Using the x-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 L x L up to 400 x 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.

【 授权许可】

Free