Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model

Kenji Harada; Naoki Kawashima

arxiv: cond-mat/9702081 · v2 · submitted 1997-02-10 · ❄️ cond-mat.stat-mech

Universal Jump in the Helicity Modulus of the Two-Dimensional Quantum XY Model

Kenji Harada , Naoki Kawashima This is my paper

classification ❄️ cond-mat.stat-mech

keywords modelhelicitymodulusquantumalgorithmcarloclusterconfirmed

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The helicity modulus of the S=1/2 XY model is precisely estimated through a world line quantum Monte Carlo method enhanced by a cluster update algorithm. The obtained estimates for various system sizes and temperatures are well fitted by a scaling form with L replaced by \log(L/L_0), which is inferred from the solution of the Kosterlitz renormalization group equation. The validity of the Kosterlitz-Thouless theory for this model is confirmed.

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