Propagation of electromagnetic solitons in an antiferromagnetic spinladder medium

Abstract

The interplay of bilinear ferromagnetic coupling with antiferromagnetic rung and diagonal coupling along with the magnetic field component of the electromagnetic wave (EMW) has been studied by solving the Maxwell’s equation together with the two coupled Landau–Lifshitz nonlinear spin equations for the magnetization of the medium. The magnetization dynamics of the spin ladder under the influence of EMW is governed by a two coupled generalized derivative non-linear Schrödinger (CGDNLS) equations. We invoke the Jacobi elliptic function method to solve the CGDNLS equations and the EMW propagation assumes the forms of kink, antikink, soliton, and breather excitations. We perform numerical analysis on the static spin configurations and explored the typical chaotic spatial structures.

Keywords:

• Electromagnetic wave propagation
• soliton
• spin interactions
• spin dynamics
• antiferromagnetic spinladder medium

Acknowledgements

L.K gratefully acknowledges the financial support by UGC in the form of a research award, NBHM in the form of a major research project, DAE-BRNS, India in the form of Young Scientist Research Award, and ICTP, Italy in the form of Junior Associateship. E. P acknowledges Periyar University for financial support in the form of University research fellow (URF) and S.B acknowledges the financial support from the JNMF, India in the form of Doctoral Scholarship.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was financially supported from UGC [F.30-1/2013(SA-II)/RA-2012-14-NEW-SC-TAM-3228]; India in the form of a Research Award; NBHM [2/48(9)/ 2011/-R & DII/1223]; India in the form of a major Research Project; DAE-BRNS [2009/20/37/7/BRNS/1819].