Localization and scaling properties of magnetostatic modes in quasiperiodic magnetic superlattices

Abstract

The localization and scaling behaviour of quasiperiodic structures are studied for a geometry where the magnetization is perpendicular to the interfaces of the superlattices. Numerical results for the bulk and surface spin waves in the magnetostatic regime are presented for the Fibonacci, Thue-Morse and period-doubling sequences. The results are obtained for both ferromagnetic and antiferromagnetic ordering by using the transfer-matrix method. Interesting features of the localized modes are shown for Fe, EuS and MnF2 .

Exciton-polariton confinement in Fibonacci quasiperiodic superlattice

“…As it can be seen, there is a dependence of the d exponent with the dimensionless wavevector k x a for the Fibonacci structure. This is a completely different behavior from the one found for magnetostatic modes propagating in these structures [20], where the linear coefficient is virtually the same. The inset of this figure shows an interesting linear behavior of the scale exponent d against the reduced wavevector k x a.…”

Analysis of fractal groups of the type within the framework of Kaniadakis statistics

“…The three parameters are of course positive integers. Other examples of Cantor-like sets are the spectra of spin waves, as well as phonons, propagating in quasiperiodic superlattices [20,21].…”

Spin wave specific heat in quasiperiodic Fibonacci structures

“…¿From a theoretical point of view, a number of physical properties has been studied in quasiperiodic structures. Among them we can cite the energy spectra of polaritons [5], phonons [6], electrons [7] and spin waves [8,9], as well as the magnetoresistance and magnetization curves of quasiperiodic thin films [10]. A quite interesting feature, common to all of these systems, is a self-similar pattern of their spectra.…”