Abstract
We present here exact results for the temperature dependent spin wave frequencies and damping in the 2-D Heisenberg antiferromagnet. Results for the 2-D ferromagnet have been presented previously.1 We use methods that were first developed in 1-D classical systems,2 where the dynamics at all wavelengths were obtained, and that have been used to discuss the 2-D antiferromagnet at T=0.3 We find that in 2-D, the longest wavelength behavior is not readily determined by these methods, and so we will restrict ourselves to wavelengths such that qξ>>1, where ξ is the coherence length.
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References
G. Reiter, Phys. Rev. B. 21, 5356 (1980).
G. Reiter, A. Sjolander, Phys. Rev. Letts. 39, 1047 (1977);
G. Reiter and A. Sjolander, J. Phys. C 13, 3027 (1980).
T. Becher and G. Reiter, Phys. Rev. Letts. 63, 1004 (1989).
G. Wysin and A. R. Bishop (preprint).
S. Elitzur, Nucl. Phys. B 212, 501 (1983).
F. David, Commun. Math. Phys. 81 149 (1981).
The exception to this occurs in the ferromagnet at q = π. There γ“q(ωq)does not vanish. The damping is non zero because the frequency is shifted, and is actually proportional to T3/2.
S. Tyc and B. I. Halperin (preprint).
D. Grempel (this volume).
A. Auerbach and D. P. Arovas, Phys. Rev. Lett. 61., 617 (1988).
K. Stuart, Thesis, Texas A&M University.
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© 1991 Plenum Press, New York
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Becher, T., Reiter, G. (1991). Exact Microscopic Calculation of Spin Wave Frequencies and Linewidths in the Two-Dimensional Heisenberg Antiferromagnet at Low Temperature. In: Reiter, G., Horsch, P., Psaltakis, G.C. (eds) Dynamics of Magnetic Fluctuations in High-Temperature Superconductors. NATO ASI Series, vol 246. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-7490-9_28
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DOI: https://doi.org/10.1007/978-1-4684-7490-9_28
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