Self-similar magnetoresistance of Fibonacci ultrathin magnetic films
C. G. Bezerra, J. M. de Araujo, C. Chesman, E. L. Albuquerque

TL;DR
This paper investigates the magnetoresistance and magnetic properties of Fibonacci-sequence ultrathin Fe/Cr films, revealing a self-similar pattern emerging due to significant biquadratic exchange coupling.
Contribution
It introduces a numerical study of Fibonacci ultrathin magnetic films incorporating biquadratic exchange, highlighting the emergence of self-similar magnetoresistance patterns.
Findings
Self-similar magnetoresistance pattern observed
Biquadratic exchange coupling influences magnetic behavior
Numerical model based on experimental parameters
Abstract
We study numerically the magnetic properties (magnetization and magnetoresistance) of ultra-thin magnetic films (Fe/Cr) grown following the Fibonacci sequence. We use a phenomenological model which includes Zeeman, cubic anisotropy, bilinear and biquadratic exchange energies. Our physical parameters are based on experimental data recently reported, which contain biquadratic exchange coupling with magnitude comparable to the bilinear exchange coupling. When biquadratic exchange coupling is sufficiently large a striking self-similar pattern emerges.
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