Critical behaviour of the 3D XY-model: a Monte Carlo study

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We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattice...

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Detalles Bibliográficos
Autores principales: Gottlob, Aloysius P., Hasenbusch, Martin
Lenguaje:eng
Publicado: 1993
Materias:
Condensed Matter
Acceso en línea:https://dx.doi.org/10.1016/0378-4371(93)90131-M
http://cds.cern.ch/record/249419
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author Gottlob, Aloysius P.
Hasenbusch, Martin
author_facet Gottlob, Aloysius P.
Hasenbusch, Martin
author_sort Gottlob, Aloysius P.
collection CERN
description We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to $L=112$. At the transition temperature we studied the fourth-order cumulant and other cumulant-like quantities on lattices of size up to $L=64$. From our numerical data we obtain for the critical coupling $\coup_c=0.45420(2)$, and for the static critical exponents $\gamma /\nu=1.976(6)$ and $\nu=0.662(7)$.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1993
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spelling cern-2494192021-10-23T02:09:44Zdoi:10.1016/0378-4371(93)90131-Mhttp://cds.cern.ch/record/249419engGottlob, Aloysius P.Hasenbusch, MartinCritical behaviour of the 3D XY-model: a Monte Carlo studyCondensed MatterWe present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to $L=112$. At the transition temperature we studied the fourth-order cumulant and other cumulant-like quantities on lattices of size up to $L=64$. From our numerical data we obtain for the critical coupling $\coup_c=0.45420(2)$, and for the static critical exponents $\gamma /\nu=1.976(6)$ and $\nu=0.662(7)$.We present the results of a study of the three-dimensional XY -model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to L = 112. At the transition temperature we studied the fourth-order cumulant and other cumulant-like quantities on lattices of size up to L = 64. From our numerical data we obtain for the critical coupling K c = 0.45420(2) and for the static critical exponents γ / v = 1.976(6) and v = 0.662(7).We present the results of a study of the three-dimensional $XY$-model on a simple cubic lattice using the single cluster updating algorithm combined with improved estimators. We have measured the susceptibility and the correlation length for various couplings in the high temperature phase on lattices of size up to $L=112$. At the transition temperature we studied the fourth-order cumulant and other cumulant-like quantities on lattices of size up to $L=64$. From our numerical data we obtain for the critical coupling $\coup_c=0.45420(2)$, and for the static critical exponents $\gamma /\nu=1.976(6)$ and $\nu=0.662(7)$.cond-mat/9305020KL-TH-93-10CERN-TH-6885-93CERN-TH-6885-93KL-TH-93-10oai:cds.cern.ch:2494191993
spellingShingle Condensed Matter
Gottlob, Aloysius P.
Hasenbusch, Martin
Critical behaviour of the 3D XY-model: a Monte Carlo study
title Critical behaviour of the 3D XY-model: a Monte Carlo study
title_full Critical behaviour of the 3D XY-model: a Monte Carlo study
title_fullStr Critical behaviour of the 3D XY-model: a Monte Carlo study
title_full_unstemmed Critical behaviour of the 3D XY-model: a Monte Carlo study
title_short Critical behaviour of the 3D XY-model: a Monte Carlo study
title_sort critical behaviour of the 3d xy-model: a monte carlo study
topic Condensed Matter
url https://dx.doi.org/10.1016/0378-4371(93)90131-M
http://cds.cern.ch/record/249419
work_keys_str_mv AT gottlobaloysiusp criticalbehaviourofthe3dxymodelamontecarlostudy
AT hasenbuschmartin criticalbehaviourofthe3dxymodelamontecarlostudy

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