Solitary Excitations in Antiferrornagnets AFeBr ₃

Abstract

Introducing the Holstein-Primakoff transformation, the coherent-state ansatz and the timedependent variation principle, we obtain two partial differential equations of motion. Employing the method of multiple scales, we reduce these equations into the envelope function equations and force the amplitude function to satisfy a nonlinear Schrodinger equation. Using the inverse-scattering transformation, we obtain the single-, two-and N-soliton solutions and discuss the gap soliton in antiferromagnets AFeBr3.

Solitary magnon excitations in a one-dimensional antiferromagnet with Dzyaloshinsky–Moriya interactions

“…, and |0 is the vacuum state of the boson system. Then using the time dependent variational principle as in [19][20][21][22]39], we obtain the equations of motion for the coherent state amplitudes α l and β l as…”

“…They set up a hierarchy of bound states induced by a wave train, and they observed the localization phenomenon realized by the presence of an intrinsic localized mode in a 1D Heisenberg ferromagnet [17]. Liu et al studied the solitary excitations in orderparameter-preserving AFM in systems such as CsFeBr 3 , using a coherent state ansatz [19][20][21][22].…”