Critical behavior and the Néel temperature of quantum quasi-two-dimensional Heisenberg antiferromagnets

@article{Irkhin1997CriticalBA,
  title={Critical behavior and the N{\'e}el temperature of quantum quasi-two-dimensional Heisenberg antiferromagnets},
  author={V. Yu. Irkhin and Andrey A. Katanin},
  journal={Physical Review B},
  year={1997},
  volume={55},
  pages={12318-12330}
}
The nonlinear-\ensuremath{\sigma} model and its generalization on N-component spins, the O(N) model, are considered to describe thermodynamics of a quantum quasi-two-dimensional (quasi-2D) Heisenberg antiferromagnet. A comparison with standard spin-wave approaches is performed. The sublattice magnetization, N\'eel temperature, and spin-correlation function are calculated to first order of the 1/N expansion. A description of crossover from a 2D-like to 3D regime of sublattice magnetization… 
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