The constraint effective potential of the staggered magnetization in an antiferromagnet

U. Gerber, C. P. Hofmann, F. J. Jiang, M. Nyfeler, U. J. Wiese

Research output: Contribution to journalArticlepeer-review

26 Citations (Scopus)

Abstract

We employ an improved estimator to calculate the constraint effective potential of the staggered magnetization in the spin quantum Heisenberg model using a loop-cluster algorithm. The first and second moment of the probability distribution of the staggered magnetization are in excellent agreement with the predictions from the systematic low-energy magnon effective field theory. We also compare the Monte Carlo data with the universal shape of the constraint effective potential of the staggered magnetization and study its approach to the convex effective potential in the infinite volume limit. In this way the higher-order low-energy parameter k0 is determined from a fit to the numerical data.

Original languageEnglish
Article numberP03021
JournalJournal of Statistical Mechanics: Theory and Experiment
Volume2009
Issue number3
DOIs
Publication statusPublished - 2009 May 6

Keywords

  • Quantum Monte Carlo simulations

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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