The existence of robust edge currents in Sierpinsky Fractals

Mikael Fremling, Michal van Hooft, Cristiane Morais Smith +1

We investigate the Hall conductivity in a Sierpinski carpet, a fractal of Hausdorff dimension $d_f=\ln (8)/\ln (3)\approx 1.893$, subject to a perpendicular magnetic field. We compu…