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arXiv · 1707.00077

Majorana Zero-Energy Mode and Fractal Structure in Fibonacci-Kitaev Chain

Rasoul Ghadimi·Takanori Sugimoto·Takami Tohyama
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Abstract

We theoretically study a Kitaev chain with a quasiperiodic potential, where the quasiperiodicity is introduced by a Fibonacci sequence. Based on an analysis of the Majorana zero-energy mode, we find the critical $p$-wave superconducting pairing potential separating a topological phase and a non-topological phase. The topological phase diagram with respect to Fibonacci potentials follow a self-similar fractal structure characterized by the box-counting dimension, which is an example of the interplay of fractal and topology like the Hofstadter's butterfly in quantum Hall insulators.

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Rasoul Ghadimi, Takanori Sugimoto, Takami Tohyama. 2017-07-01. Majorana Zero-Energy Mode and Fractal Structure in Fibonacci-Kitaev Chain. https://doi.org/10.7566/jpsj.86.114707

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