Monte Carlo simulation with aspect ratio optimization: Anomalous anisotropic scaling in dimerized antiferromagnet

Abstract

We present a method that optimizes the aspect ratio of a spatially anisotropic quantum lattice model during the quantum Monte Carlo simulation, and realizes the virtually isotropic lattice automatically. The anisotropy is removed by using the Robbins-Monro algorithm based on the correlation length in each direction. The method allows for comparing directly the value of critical amplitude among different anisotropic models, and identifying the universality more precisely. We apply our method to the staggered dimer antiferromagnetic Heisenberg model and demonstrate that the apparent non-universal behavior is attributed mainly to the strong size correction of the effective aspect ratio due to the existence of the cubic interaction.

5 pages, 5 figures

References in corpus (5)

• Ground State and Finite Temperature Lanczos Methods
• Evidence of Unconventional Universality Class in a Two-Dimensional Dimerized Quantum Heisenberg Model
• Comprehensive quantum Monte Carlo study of the quantum critical points in planar dimerized/quadrumerized Heisenberg models
• Critical Binder cumulant for isotropic Ising models on square and triangular lattices
• Solving the puzzle of an unconventional phase transition for a 2d dimerized quantum Heisenberg model

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