Eur. Phys. J. B (2015) 88: 289
https://doi.org/10.1140/epjb/e2015-60536-0

Regular Article

Scaling relations of three-dimensional random-exchange quantum antiferromagnets

Department of Physics, National Taiwan Normal University, 88, Sec.4, Ting-Chou Rd., 116 Taipei, Taiwan

^a e-mail: fjjiang@ntnu.edu.tw

Received: 1 July 2015
Received in final form: 3 September 2015
Published online: 3 November 2015

Abstract

The thermal and ground state properties of a class of three-dimensional (3D) random-exchange spin-1/2 antiferromagnets are studied using first principles quantum Monte Carlo method. Our motivation is to examine whether the newly discovered universal scaling properties, which connect the Néel temperature and the staggered magnetization density, for the clean 3D quantum dimerized Heisenberg models remain valid for the random-exchange models considered here. Remarkably, similar to the clean systems, our Monte Carlo results indicate that these scaling relations also emerge for the considered models with the introduced antiferromagnetic randomness. The scope of the validity of these scaling properties for the 3D quantum antiferromagnets is investigated as well.