2009/11/03 by F. -J. Jiang, Jiang, F. -J. · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.str-el #hep-lat #hep-ph
paper · pdf · doi:10.48550/arxiv.0911.0653
4 pages, 7 figures
arxiv created 2009/11/03 · arxiv updated 2009/12/01
Puzzled by the indication of a new critical theory for the spin-1/2 Heisenberg model with a spatially staggered anisotropy on the square lattice as suggested in \citeWenzel08, we re-investigate the phase transition of this model induced by dimerization. We focus on studying the finite-size scaling of the observables ρs1 L and ρs2 L, where L stands for the spatial box sizes used in the simulations and ρsi with i ∈ \1,2\ is the spin-stiffness in i-direction. We find by performing finite-size scaling using the observable ρs2 L, which corresponds to the spatial direction with a fixed antiferromagnetic coupling, one would suffer a much less severe correction compared to that of using ρs1 L. Therefore ρs2 L is a better quantity than ρs1 L for finite-size scaling analysis concerning the limitation for the availability of large volumes data in our study. Remarkably, by employing the method of fixing the aspect-ratio of spatial winding numbers squared in the simulations, even from ρs1 L which receives the most serious correction among the observables considered in this study, we arrive at a value for the critical exponent ν which is consistent with the expected O(3) value by using only up to L = 64 data points.