Self similarities in quasiperiodic magnetic superlattices

We study the quasiperiodic behavior of electrons in a Fibonacci magnetic superlattice, produced on a two-dimensional electron gas (2DEG) modulated by magnetic field stripes arranged in a Fibonacci sequence. A rich (multifractal) resonant structure of transmission and conductance spectra is revealed. Although electron motion in a magnetically modulated 2DEG is inherently a two dimensional process, both the transmission coefficient and conductance exhibit self-similarity and six-circle properties regardless of the value of the wavevector perpendicular to the tunneling direction. At most incident energies, the conductance G decreases with the sample length in the tunneling direction lx not faster than a power of lx. Typeset using REVTEX