Nonlinear localized excitations in a topological ferromagnetic honeycomb lattice

We theoretically investigate nonlinear localized excitations in a Heisenberg honeycomb ferromagnet with a second neighbour Dzialozinskii-Moriya interaction, which has been proved to possess the topological band structure. Using the time-dependent variational principle, we obtain the equation of motion for the system in the Glauber coherent-state representation. By means of the semidiscrete multiple-scale method, different types of nonlinear localized excitations are gotten. Our results show that both two-dimensional discrete breathers and bulk gap solitons may occur in the Heisenberg honeycomb ferromagnet.

Automated summary

This theoretical study investigates nonlinear localized excitations in a Heisenberg honeycomb ferromagnet with a second neighbour Dzialozinskii-Moriya interaction, exhibiting topological band structure. Various types of nonlinear localized excitations, including two-dimensional discrete breathers and bulk gap solitons, are found using the semidiscrete multiple-scale method.