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 $\frac{1}{2}$ 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 of 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 $k_0$ is determined from a fit to the numerical data.

References in corpus (14)

• Cluster Algorithm for Vertex Models
• Finite size and temperature effects in the AF Heisenberg model
• Nonrelativistic effective Lagrangians
• The Square-Lattice Heisenberg Antiferromagnet at Very Large Correlation Lengths
• Meron-Cluster Simulation of the $\theta$-Vacuum in the 2-d $O(3)$-Model
• Spin-wave Scattering in the Effective Lagrangian Perspective
• Systematic Low-Energy Effective Theory for Magnons and Charge Carriers in an Antiferromagnet
• Two-Hole Bound States from a Systematic Low-Energy Effective Field Theory for Magnons and Holes in an Antiferromagnet
• Scaling analysis of the O(4)-symmetric ${\Phi }^4$-theory in the broken phase
• Effective Analysis of the O(N) Antiferromagnet: Low Temperature Expansion of the Order Parameter
• Spontaneous Magnetization of the O(3) Ferromagnet at Low Temperatures
• Systematic Low-Energy Effective Field Theory for Electron-Doped Antiferromagnets
• Loop-Cluster Simulation of the $t$-$J$ Model on the Honeycomb Lattice
• Ferromagnets and antiferromagnets in the effective Lagrangian perspective

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