Spin Waves in Two and Three Dimensional Magnetic Materials

• Autorzy: Wijesinhe H. s. , Wijewardena Gamalath K. A. I. L.

Identyfikatory

DOI

10.18052/www.scipress.com/ILCPA.49.35

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Bcc Lattice; Heisenberg modelling; Simple Cubic Lattice; spin waves; Suzuki Trotter Decomposition Method

• Wydawca: Przedsiębiorstwo Wydawnictw Naukowych "DARWIN"
• Czasopismo: International Letters of Chemistry, Physics and Astronomy
• Rocznik: 2015
• Tom: Vol. 49
• Strony: 35--47
• Opis fizyczny: Bibliogr. 11 poz., rys., tab., wz.

Twórcy

autor

Wijesinhe H. s.

autor

Wijewardena Gamalath K. A. I. L.

Bibliografia

• [1] K. Chen, D. P. Landau, Phy. Rev. B, 49 (5) (1994) 3266.
• [2] X. Tao, D. P. Landau, T. C. Schulthess, G. M. Stocks, Phys. Rev. Lett. 95(8) (2005) 087207.
• [3] J. E. Costa, B.V Costa, Phy. Rev. B, 54 (2) (1996) 994-1000.
• [4] H. S.Wijesinhe, K.A.I.L.Wijewardena Gamalath, I.L.C.P.A. 8(1) (2015) 24-39.
• [5] A. H Morris, The Physical Principles of Magnetism, John Wiley and Sons (New York, 1966) 106-111.
• [6] S. H. Tsai, D. P. Landau, Comp. Sci. Eng. 10 (1) (2008) 72-79.
• [7] D. P. Landau, A. Bunker, H. G. Evertz, M. Krech, S. H. Tsai, Prog. Theo. Phys. 138 (2000) 423-432.
• [8] M.W. Spong, S. Hutchinson, M. Vidyasagar, Robot modeling and control (Wiley, 2006) 163-182
• [9] N. Hatano, M. Suzuki, Quantum Annealing and Other Optimization Methods, (Springer, Berlin, 2005) 37 - 68. arXiv:math-ph/0506007.
• [10] C. Menotti, M. Krämer, L. Pitaevskii, S. Stringari, Phys. Rev. A 67(5) (2003) 053609
• [11] G. Marsaglia, The Annals of Mathematical Statistics 43 (2) (1972) 645 - 646.