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The European Physical Journal BISSN: 1434-6028 (printed version) Abstract Volume 5 Issue 1 (1998) pp 15-22 Spin correlations in the two-dimensional spin-5/2 Heisenberg antiferromagnet $\mathsf{Rb_2MnF_4}$
Y.S. Lee (1), M. Greven (1) (a), B.O. Wells (1), R.J. Birgeneau (1) (b), G. Shirane (2)
(1) Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Received: 3 March 1998 / Received in final form: 4 May 1998 / Accepted: 19 May 1998 Abstract: We report a neutron scattering study of the instantaneous spin correlations in the two-dimensional spin S=5/2 square-lattice Heisenberg antiferromagnet Rb2MnF4. The measured correlation lengths are quantitatively described, with no adjustable parameters, by high-temperature series expansion results and by a theory based on the quantum self-consistent harmonic approximation. Conversely, we find that the data, which cover the range from about 1 to 50 lattice constants, are outside of the regime corresponding to renormalized classical behavior of the quantum non-linear $\sigma$ model. In addition, we observe a crossover from Heisenberg to Ising critical behavior near the Néel temperature; this crossover is well described by a mean-field model with no adjustable parameters.
PACS. 75.10.Jm Quantized spin models - 75.25.+z Spin arrangements in magnetically ordered materials (including neutron and spin-polarized electron studies, synchrotron-source X-ray scattering, etc.) - 75.30.Gw Magnetic anisotropy
(a) Present address: Department of Applied Physics and Stanford Synchrotron Radiation Laboratory, Stanford University, Stanford, CA 94305, USA. Article in PDF-Format (557 KB) Online publication: September 11, 1998 |