Bulk and surface properties in the critical phase of the two-dimensional XY model

Details Bulk and surface properties in the critical phase of the two-dimensional XY model Bulk and surface properties in the critical phase of the two-dimensional XY model

2002-11-26

arxiv.org/abs/cond-mat/0211584v2

J. Phys. A 36, 585 (2003)

Physics

Condensed Matter

Statistical Mechanics

26 pages, iop macro, one reference added, typos corrected

Scientific paper

10.1088/0305-4470/36/3/301

Monte Carlo simulations of the two-dimensional XY model are performed in a
square geometry with various boundary conditions (BC). Using conformal mappings
we deduce the exponent $\eta_\sigma(T)$ of the order parameter correlation
function and its surface analogue $\eta_\|(T)$ as a function of the temperature
in the critical (low-temperature) phase of the model.

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