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

DOI10.1140/EPJB/E2013-40726-6zbMATH Open1515.78025arXiv1307.6103OpenAlexW3124855419MaRDI QIDQ6135158

Author name not available (Why is that?)

Publication date: 26 July 2023

Published in: (Search for Journal in Brave)

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 $T_N/sqrt{c}^3$ $propto$ ${calM}_s$ near the quantum critical point (QCP) associated with dimerization. Here $T_N$, $c$, and ${calM}_s$ are the N'eel temperature, the spinwave velocity, and the staggered magnetization density, respectively. For all the physical quantities considered here, such as $T_N$ and ${calM}_s$, 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 $T_N/sqrt{c}^3$ $propto$ ${calM}_s$ near the investigated QCP only sets in significantly in the region with strong spatial anisotropy.

Full work available at URL: https://arxiv.org/abs/1307.6103

zbMATH Keywords

No records found.

Mathematics Subject Classification ID

No records found.

This page was built for publication: Investigation of a universal behavior between Néel temperature and staggered magnetization density for a three-dimensional quantum antiferromagnet

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6135158)