Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

U. Kanbur; E. Vatansever; H. Polat

paper

Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

arXiv:2008.01464

Abstract

The three-dimensional quenched random bond diluted $(J_{1} - J_{2})$ quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs for $L \times L \times L$ lattice up to $L = 48$ . By employing standard finite-size scaling method, the numerical values of the Néel temperature are determined with high precision as a function of the coupling ratio $r = J_{2} / J_{1}$ . Based on the estimated critical exponents, we find that the critical behavior of the considered model belongs to the pure classical $3 D$ $O (3)$ Heisenberg universality class.

8 pages, 7 figures