The two-dimensional XY model at the transition temperature: a high-precision Monte Carlo study
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...
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| Main Author: | |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
15 June 2005
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| In: |
Journal of physics. A, Mathematical and general
Year: 2005, Volume: 38, Issue: 26, Pages: 5869-5883 |
| ISSN: | 1361-6447 |
| DOI: | 10.1088/0305-4470/38/26/003 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1088/0305-4470/38/26/003
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| Author Notes: | Martin Hasenbusch |
| Summary: | 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 ξ2nd/L at the transition temperature. This new prediction and the analogous one for the helicity modulus ϒ are confronted with our Monte Carlo data. This way βKT = 1.1199 is confirmed as inverse transition temperature. Finally, we address the puzzle of logarithmic corrections of the magnetic susceptibility χ at the transition temperature. |
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| Item Description: | Gesehen am 08.07.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1361-6447 |
| DOI: | 10.1088/0305-4470/38/26/003 |