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Edge currents in Sierpinski Fractals: APS March Meeting 2020
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This presentation was supposed to have been given at the APS March Meeting 2020, which was canceled due to the corona virus.
In this talk I will discuss the possibility to have topological protected edge modes in a Sierpinski carpet, a fractal of Hausdorff dimension ln(8)/ ln(3) ≈ 1.893. We simulate the effect of a magnetic field and find that topologically protected edge modes seems to be generically present for arbitrary finite field strength, no mater how one approaches the thermodynamic limit of
the fractal.
The scientific abstract, and slides can be found here:
In this talk I will discuss the possibility to have topological protected edge modes in a Sierpinski carpet, a fractal of Hausdorff dimension ln(8)/ ln(3) ≈ 1.893. We simulate the effect of a magnetic field and find that topologically protected edge modes seems to be generically present for arbitrary finite field strength, no mater how one approaches the thermodynamic limit of
the fractal.
The scientific abstract, and slides can be found here:
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