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

  title={Critical Behaviour of the 3D XY-Model: A Monte Carlo Study},
  author={A.P.Gottlob and M.Hasenbusch},
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… 
Absence of phase transition in the XY-model on Menger sponge
We have performed a Monte Carlo study of the classical XY-model on a Menger sponge with the Wolff cluster algorithm (U. Wolff, 1989). The Menger sponge is a fractal object with infinite order of
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Mean field and fluctuations for fermionic systems: from ultracold Fermi gases to cuprates
This Thesis analyzes the role of a mean-field theory and of the fluctuations in two different fermionic systems: the BCS-BEC crossover and high-Tc superconducting cuprates. In the first part of
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Toward Lattice QCD On Billion Core Approximate Computers
We present evidence of the feasibility of using billion core approximate computers to run simple U(1) sigma models, and discuss how the approach might be extended to Lattice Quantum Chromodynamics
Quantum error correction with the toric Gottesman-Kitaev-Preskill code
We examine the performance of the single-mode Gottesman-Kitaev-Preskill (GKP) code and its concatenation with the toric code for a noise model of Gaussian shifts, or displacement errors. We show how
Unsupervised learning of phase transitions: from principal component analysis to variational autoencoders
  • S. Wetzel
  • Mathematics, Computer Science
    Physical review. E
  • 2017
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.
Estudo do modelo XY por Monte Carlo
Transicoes de fase quânticas em sistemas de spins oferecem perspectivas no entendi- mento do comportamento critico da materia em baixissimas temperaturas. Nesta tese, aplicamos metodos de Monte Carlo