Critical Behaviour of the 3D XY-Model: A Monte Carlo Study

@inproceedings{APGottlob1993CriticalBO,
  title={Critical Behaviour of the 3D XY-Model: A Monte Carlo Study},
  author={A.P.Gottlob and M.Hasenbusch},
  year={1993}
}
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… 
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Unsupervised learning of phase transitions: from principal component analysis to variational autoencoders
  • S. Wetzel
  • Mathematics, Computer Science
    Physical review. E
  • 2017
TLDR
Unsupervised machine learning techniques to learn features that best describe configurations of the two-dimensional Ising model and the three-dimensional XY model are examined, finding that the most promising algorithms are principal component analysis and variational autoencoders.
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