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 journalArticle

25 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

Fingerprint

Antiferromagnet
Effective Potential
Magnetization
magnetization
Cluster Algorithm
Effective Field Theory
Heisenberg Model
Energy
estimators
Probability Distribution
Higher Order
Moment
moments
Estimator
Calculate
energy
Prediction
predictions

Keywords

  • Quantum Monte Carlo simulations

ASJC Scopus subject areas

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

Cite this

The constraint effective potential of the staggered magnetization in an antiferromagnet. / Gerber, U.; Hofmann, C. P.; Jiang, F. -J.; Nyfeler, M.; Wiese, U. J.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2009, No. 3, P03021, 06.05.2009.

Research output: Contribution to journalArticle

@article{1d9edac43aeb4307a8c8a140fb0747b4,
title = "The constraint effective potential of the staggered magnetization in an antiferromagnet",
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.",
keywords = "Quantum Monte Carlo simulations",
author = "U. Gerber and Hofmann, {C. P.} and Jiang, {F. -J.} and M. Nyfeler and Wiese, {U. J.}",
year = "2009",
month = "5",
day = "6",
doi = "10.1088/1742-5468/2009/03/P03021",
language = "English",
volume = "2009",
journal = "Journal of Statistical Mechanics: Theory and Experiment",
issn = "1742-5468",
publisher = "IOP Publishing Ltd.",
number = "3",

}

TY - JOUR

T1 - The constraint effective potential of the staggered magnetization in an antiferromagnet

AU - Gerber, U.

AU - Hofmann, C. P.

AU - Jiang, F. -J.

AU - Nyfeler, M.

AU - Wiese, U. J.

PY - 2009/5/6

Y1 - 2009/5/6

N2 - 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.

AB - 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.

KW - Quantum Monte Carlo simulations

UR - http://www.scopus.com/inward/record.url?scp=65449145961&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65449145961&partnerID=8YFLogxK

U2 - 10.1088/1742-5468/2009/03/P03021

DO - 10.1088/1742-5468/2009/03/P03021

M3 - Article

AN - SCOPUS:65449145961

VL - 2009

JO - Journal of Statistical Mechanics: Theory and Experiment

JF - Journal of Statistical Mechanics: Theory and Experiment

SN - 1742-5468

IS - 3

M1 - P03021

ER -