Kosterlitz-Thouless transition of quantum XY model in two dimensions

Kenji Harada; Naoki Kawashima

Kosterlitz-Thouless transition of quantum XY model in two dimensions

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arxiv cond-mat/9803090 v2 pith:BEL676BU submitted 1998-03-09 cond-mat.stat-mech

Kenji Harada , Naoki Kawashima This is my paper · ORCID

classification cond-mat.stat-mech

keywords modelcriticalestimatedhelicitykosterlitz-thoulessmodulusquantumtemperature

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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 $T_{\rm KT} = 0.3427(2)J$. 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.

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