Numerical renormalization group study of random transverse Ising models in one and two space dimensions
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
The quantum critical behavior and the Griffiths-McCoy singularities of random quantum Ising ferromagnets are studied by applying a numerical implementation of the Ma-Dasgupta-Hu renormalization group scheme. We check the procedure for the analytically tractable one-dimensional case and apply our code to the quasi-one-dimensional double chain. For the latter we obtain identical critical exponents as for the simple chain implying the same universality class. Then we apply the method to the two-dimensional case for which we get estimates for the exponents that are compatible with a recent study in the same spirit.
Keywords
Cite
@article{arxiv.cond-mat/9912094,
title = {Numerical renormalization group study of random transverse Ising models in one and two space dimensions},
author = {Y. -C. Lin and N. Kawashima and F. Igloi and H. Rieger},
journal= {arXiv preprint arXiv:cond-mat/9912094},
year = {2009}
}
Comments
10 pages LaTeX, eps-figures and PTP-macros included. Proceedings of the ICCP5, Kanazawa (Japan), 1999