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

2013/07/23 by M. -T. Kao, M.T. Kao, F. -J. Jiang +1
Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Antiferromagnetism #Heisenberg model #Magnetization #Monte Carlo method #Physics of Superconductivity and Magnetism #Quantum #Quantum Monte Carlo #Quantum critical point #Theoretical and Computational Physics #cond-mat.str-el #hep-lat

paper · pdf · doi:10.1140/epjb/e2013-40726-6

5 pages, 7 figures, 2 tables

arxiv created 2013/07/23 · openalex publication_date 2013/10/01 · arxiv updated 2015/06/16 · openalex created_date 2019/06/27 · openalex updated_date 2026/08/05

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) ∝ \cal M_s near the quantum critical point (QCP) associated with dimerization. Here T_N, c, and \cal 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 \cal 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) ∝ \cal M_s near the investigated QCP only sets in significantly in the region with strong spatial anisotropy.

Citations

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