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29 March 2024
 
  » arxiv » cond-mat/0606032

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Scaling relations in quasi-two-dimensional Heisenberg antiferromagnet
Antoine Praz Christopher Mudry Matthew Hastings ;
Date 1 Jun 2006
Subject Strongly Correlated Electrons
AbstractThe large-N expansion of the quasi-two-dimensional quantum nonlinear $sigma$ 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 extit{et al.}, Phys. Rev. Lett.~ extbf{94}, 217201 (2005), is a universal number in the limit of $J’/J o 0$. Moreover, similar scaling relations proposed by Hastings and Mudry, Phys. Rev. Lett.~ extbf{96}, 027215 (2006), are derived at $N=infty$ for the three-dimensional static spin susceptibility at the wave vector $(pi,pi,0)$, 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.
Source arXiv, cond-mat/0606032
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