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The two dimensional XY model at the transition temperature: A high precision Monte Carlo study

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arxiv cond-mat/0502556 v2 pith:D6HSMGUB submitted 2005-02-23 cond-mat.stat-mech hep-lat

Martin Hasenbusch This is my paper · ORCID
classification cond-mat.stat-mechhep-lat
keywords transitiontemperaturemodelsizecarlomonteaddressalgorithm
verification ladder T0 review T1 audit T2 compute T3 formal
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We study the classical XY (plane rotator) model at the Kosterlitz-Thouless phase transition. We simulate the model using the single cluster algorithm on square lattices of a linear size up to L=2048.We derive the finite size behaviour of the second moment correlation length over the lattice size xi_{2nd}/L at the transition temperature. This new prediction and the analogous one for the helicity modulus are confronted with our Monte Carlo data. This way beta_{KT}=1.1199 is confirmed as inverse transition temperature. Finally we address the puzzle of logarithmic corrections of the magnetic susceptibility chi at the transition temperature.

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Cited by 3 Pith papers

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  1. Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

    hep-lat 2026-01 unverdicted novelty 7.0 of 10

    Tensor renormalization group computes symmetry-twisted partition functions to identify critical points solely from them, yielding Tc=2.2017(2) and nu=0.663(33) for the 3D O(2) model plus TBKT=0.8928(2) for the 2D O(2)...

  2. On the equation of state of U(1) lattice gauge theory in three dimensions

    hep-lat 2025-01 conditional novelty 6.0 of 10

    The equation of state of 3D U(1) lattice gauge theory is consistent with a single massive state below T_c and a free photon gas above T_c, with no Hagedorn tower of states.

  3. Qubit Regularization of Quantum Field Theories

    hep-lat 2025-02 conditional novelty 5.0 of 10

    Asymptotically free QFTs can appear as crossover phenomena from decoupled critical points in finite-dimensional qubit models, and a monomer-dimer-tensor-network basis offers new qubit-regularized lattice gauge theories.

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