Scaling relations in quasi-two-dimensional Heisenberg antiferromagnet

dc.creatorPraz, Antoine
dc.creatorMudry, Christopher
dc.creatorHastings, Matthew
dc.date2006-06-01
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:12:21Z
dc.date.available2026-07-07T07:12:21Z
dc.descriptionThe large-N expansion of the quasi-two-dimensional quantum nonlinear $σ$ model (QNLSM) is used in order to establish experimentally applicable universal scaling relations for the quasi-two-dimensional Heisenberg antiferromagnet. We show that, at $N=\infty$, the renormalized coordination number introduced by Yasuda \textit{et al.}, Phys. Rev. Lett. \textbf{94}, 217201 (2005), is a universal number in the limit of $J'/J\to 0$. Moreover, similar scaling relations proposed by Hastings and Mudry, Phys. Rev. Lett. \textbf{96}, 027215 (2006), are derived at $N=\infty$ for the three-dimensional static spin susceptibility at the wave vector $(π,π,0)$, as well as for the instantaneous structure factor at the same wave vector. We then use 1/N corrections to study the relation between interplane coupling, correlation length, and critical temperature, and show that the universal scaling relations lead to logarithmic corrections to previous mean-field results.
dc.description16 pages, 4 figures, reference to cond-mat/0606341 added
dc.identifierhttps://arxiv.org/abs/cond-mat/0606032
dc.identifierhttp://arxiv.org/abs/cond-mat/0606032
dc.identifierPhys. Rev. B 74, 184407 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.184407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112054
dc.subjectStrongly Correlated Electrons
dc.titleScaling relations in quasi-two-dimensional Heisenberg antiferromagnet
dc.typetext

Files

Collections