Share This Article:

Spin Configurations in the Rectangular Lattice

Abstract Full-Text HTML Download Download as PDF (Size:6696KB) PP. 184-188
DOI: 10.4236/wjcmp.2013.34030    2,526 Downloads   4,370 Views   Citations


Using matrix method, the possible spin configurations have been determined for four sublattices in rectangular lattice taking into account only nearest-neighbor exchange interactions. We obtain collinear and non-collinear spin configurations in the ground and the first excited states for the three different propagation vectors. When k = 0, depending on the sign of exchange parameters, we find a ferromagnetic mode and three antiferromagnetic modes. When k = [1, 1] and [1.5, 1.5], we find non-collinear (canted) spin configurations. Moreover, we observe that spins of some sublattices in the excited state change their orientations.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Mert, G. and Mert, H. (2013) Spin Configurations in the Rectangular Lattice. World Journal of Condensed Matter Physics, 3, 184-188. doi: 10.4236/wjcmp.2013.34030.


[1] E. F. Bertaut, “Configurations de Spin et Théorie des Groups,” Journal de Physique et le Radium, Vol. 22, No. 5, 1961, pp. 321-322.
[2] E. F. Bertaut, “Lattice Theory of Spin Configuration,” Journal of Applied Physics, Vol. 33, No. 3, 1962, pp. 1138-1143.
[3] A. Kallel, H. Boller and E. F. Bertaut, “Helimagnetism in MnP-Type Compounds: MnP, FeP, CrAs and CrAs1-xSbx Mixed Crystals,” Journal of Physics and Chemistry of Solids, Vol. 35, No. 9, 1974, pp. 1139-1152.
[4] J. Villain, “La Structure des Substances Magnetiques,” Journal of Physics and Chemistry of Solids, Vol. 11, No. 3-4, 1959, pp. 303-309.
[5] M. G. Townsend, G. Longworth and E. Roudaut, “Triangular-Spin, Kagome Plane in Jarosites,” Physical Review B, Vol. 33, No. 7, 1986, pp. 4919-4926.
[6] H. S. Darendelioglu and H. Yüksel, “Spin Configuration of Two-Dimensional Orthorhombic Lattice,” Journal of Physics and Chemistry of Solids, Vol. 54, No. 11, 1993, pp. 1599-1602.
[7] E. Belorizky, “Exact Ground State Spin Configurations for 2D and 3D Lattices with Nearest Neighbor Bilinear Exchange,” Solid State Communications, Vol. 96, No. 11, 1995, pp. 853-858.
[8] M. H. Yu and Z. D. Zhang, “Spin Configurations in the Absence of an External Magnetic Bilayer with in-Plane Cubic or Uniaxial Anisotropies,” Journal of Magnetism and Magnetic Materials, Vol. 195, No. 2, 1999, pp. 514-519.
[9] J. K. Yakinthos, P. A. Kotsanidis, W. Schafer, W. Kockelmann, G. Will and W. Reimers, “The Two-Component Non-Collinear Antiferromagnetic Structures of DyNiC2 and HoNiC2,” Journal of Magnetism and Magnetic Materials, Vol. 136, No. 3, 1994, pp. 327-334.
[10] A. Stroppa and M. Peressi, “Non-Collinear Magnetic States of Mn5Ge3 Compound,” Physica Status Solidi (a), Vol. 204, No. 1, 2007, pp. 44-52.
[11] K. Horigane, T. Uchida, H. Hiraka, K. Yamada and J. Akimitsu, “Charge and Spin Ordering in La2-xSrxCoO4 (0.4 < x < 0.6),” Nuclear Instruments and Methods in Physics Research A, Vol. 600, No. 1, 2009, pp. 243-245.
[12] S. Kurian and N. S. Gajbhiye, “Non-Collinear Spin Structure of E-FexN (2 < x < 3) Observed by Mossbauer Spectroscopy,” Chemical Physics Letters, Vol. 489, No. 4, 2010, pp. 195-197.
[13] E. Belorizky, R. Caslegno and J. Sivardiare, “Configurations of a Simple Cubic Lattice of Pseudo-Spins S = 1/2 with Anisotropic Exchange,” Journal of Magnetism and Magnetic Materials, Vol. 15-18, 1980, pp. 309-310.

comments powered by Disqus

Copyright © 2020 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.