# 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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## References

SHOWING 1-4 OF 4 REFERENCES

Quantum field theory

- Physics
- 1956

This book is a modern pedagogic introduction to the ideas and techniques of quantum field theory. After a brief overview of particle physics and a survey of relativistic wave equations and Lagrangian…

Exactly solved models in statistical mechanics

- Mathematics
- 1982

exactly solved models in statistical mechanics exactly solved models in statistical mechanics rodney j baxter exactly solved models in statistical mechanics exactly solved models in statistical…