Paper Titles in Periodical
International Letters of Chemistry, Physics and Astronomy
ILCPA Volume 49

Subscribe to our Newsletter and get informed about new publication regulary and special discounts for subscribers!

ILCPA > ILCPA Volume 49 > Spin Waves in Two and Three Dimensional Magnetic...
< Back to Volume

Spin Waves in Two and Three Dimensional Magnetic Materials

Full Text PDF


The equations of motion for the dynamic properties of spin waves in three dimensions were obtained using Heisenberg model and solved for two and three dimensional lattices analytically up to an exponential operator representation. The second order Suzuki Trotter decomposition method was extended to incorporate second nearest interaction parameters into the numerical solution. Computer based simulations on systems in micro canonical ensembles in constant-energy states were used to check the applicability of this model for two dimensional lattice as well as three dimensional simple cubic and bcc lattices. In the magnon dispersion curves all or most of the spin wave components could be recognized as peaks in the dynamic structure factor presenting the variation of energy transfer with respect to momentum transfer of spin waves. Second order Suzuki Trotter algorithm used conserved the energy.


International Letters of Chemistry, Physics and Astronomy (Volume 49)
H.S. Wijesinhe and K. A. I. L. Wijewardena Gamalath, "Spin Waves in Two and Three Dimensional Magnetic Materials", International Letters of Chemistry, Physics and Astronomy, Vol. 49, pp. 35-47, 2015
Online since:
April 2015

K. Chen, D. P. Landau, Phy. Rev. B, 49 (5) (1994) 3266.

X. Tao, D. P. Landau, T. C. Schulthess, G. M. Stocks, Phys. Rev. Lett. 95(8) (2005) 087207.

J. E. Costa, B. V Costa, Phy. Rev. B, 54 (2) (1996) 994-1000.

H. S. Wijesinhe, K.A.I.L. Wijewardena Gamalath, I.L.C.P.A. 8(1) (2015) 24-39.

A. H Morris, The Physical Principles of Magnetism, John Wiley and Sons (New York, 1966) 106-111.

S. H. Tsai, D. P. Landau, Comp. Sci. Eng. 10 (1) (2008) 72-79.

D. P. Landau, A. Bunker, H. G. Evertz, M. Krech, S. H. Tsai, Prog. Theo. Phys. 138 (2000) 423-432.

M.W. Spong, S. Hutchinson, M. Vidyasagar, Robot modeling and control (Wiley, 2006) 163182.

N. Hatano, M. Suzuki, Quantum Annealing and Other Optimization Methods, (Springer, Berlin, 2005) 37 - 68. arXiv: math-ph/0506007.

C. Menotti, M. Krämer, L. Pitaevskii, S. Stringari, Phys. Rev. A 67(5) (2003) 053609.

G. Marsaglia, The Annals of Mathematical Statistics 43 (2) (1972) 645 - 646. ( Received 31 March 2015; accepted 07 April 2015 ).

Show More Hide
Cited By:

[1] D. Morais, M. Lyra, F. de Moura, W. Dias, "The self-trapping transition of one-magnon excitations coupled to acoustic phonons", Journal of Magnetism and Magnetic Materials, p. 166798, 2020