D. N. Aristov, S. S. Kravchenko, A. O. Sorokin, “Magnon spectrum in ferromagnets with a skyrmion”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2015, Volume 102, Issue 7,Pages <nobr>511

This article is cited in 7 papers

CONDENSED MATTER

Magnon spectrum in ferromagnets with a skyrmion

D. N. Aristov^ab, S. S. Kravchenko^ba, A. O. Sorokin^ba

^a Petersburg Nuclear Physics Institute, National Research Center “Kurchatov Institute”, 188300 Gatchina, Russia
^b Department of Physics, St. Petersburg State University, 199034 St. Petersburg, Russia

Abstract: The analysis of the spin wave excitations in two-dimensional isotropic Heisenberg ferromagnet is performed with a single skyrmion in the ground state. We employ the ideas of semiclassical quantization method, duly modified for the use of the lattice model and Maleyev–Dyson boson representation of spin operators. The resulting Schrödinger equation for magnons describes the dispersion and wave functions of spin-wave excitations with strictly non-negative spectrum. In contrast to usual ferromagnet, we demonstrate the existence of three zero modes, corresponding to conformal symmetries spontaneously violated by the skyrmion configuration.

Received: 06.08.2015
Revised: 18.08.2015

Language: English

DOI: 10.7868/S0370274X1519011X