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

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

1997-02-10

arxiv.org/abs/cond-mat/9702081v2

Phys. Rev. B 55, R11949 (1997)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevB.55.R11949

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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