Eur. Phys. J. B (2013) 86: 419
https://doi.org/10.1140/epjb/e2013-40726-6

Regular Article

Investigation of a universal behavior between Néel temperature and staggered magnetization density for a three-dimensional quantum antiferromagnet

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 August 2013
Received in final form: 5 September 2013
Published online: 7 October 2013

Abstract

We simulate the three-dimensional quantum Heisenberg model with a spatially anisotropic ladder pattern using the first principles Monte Carlo method. Our motivation is to investigate quantitatively the newly established universal relation T_N/√c³ ∝ ℳ_s near the quantum critical point (QCP) associated with dimerization. Here T_N, c, and ℳ_s are the Néel temperature, the spinwave velocity, and the staggered magnetization density, respectively. For all the physical quantities considered here, such as T_N and ℳ_s, our Monte Carlo results agree nicely with the corresponding results determined by the series expansion method. In addition, we find it is likely that the effect of a logarithmic correction, which should be present in (3 + 1)-dimensions, to the relation T_N/√c³ ∝ ℳ_s near the investigated QCP only sets in significantly in the region with strong spatial anisotropy.