Kosterlitz-Thouless transition of quantum XY model in two dimensions

Abstract

The two-dimensional $S=1/2$ XY model is investigated with an extensive quantum Monte Carlo simulation. The helicity modulus is precisely estimated through a continuous-time loop algorithm for systems up to $128\times 128$ near and below the critical temperature. The critical temperature is estimated as $T_{\mathrm{KT}}=0.3427(2)J$. The obtained estimates for the helicity modulus are well fitted by a scaling form derived from the Kosterlitz renormalization group equation. The validity of the Kosterlitz-Thouless theory for this model is confirmed.

8 pages, 2 tables, 6 figures

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