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

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arxiv cond-mat/0211584 v2 pith:FD2E2COC submitted 2002-11-26 cond-mat.stat-mech

Bertrand Berche (Université Henri Poincaré , Vandoeuvre les Nancy , France) This is my paper · ORCID
classification cond-mat.stat-mech
keywords modelcriticalfunctionphasesurfacetwo-dimensionalanalogueboundary
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abstract

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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Cited by 1 Pith paper

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  1. Long-Range Order in a Strictly Short-Range Quasi-2D XY Model: When Critical Fluctuations Matter

    cond-mat.stat-mech 2025-06 conditional novelty 8.0 of 10

    In a strictly short-range XY model made of a plane intersected by parallel planes, true long-range order appears along the intersection lines when the parallel planes enter a Berezinskii-Kosterlitz-Thouless critical phase.

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