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Majorana zero-energy mode and fractal structure in fibonacci-kitaev chain

Ghadimi, R ; Sharif University of Technology

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  1. Type of Document: Article
  2. DOI: 10.7566/JPSJ.86.114707
  3. Abstract:
  4. 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. © 2017 The Physical Society of Japan
  5. Keywords:
  7. Source: Journal of the Physical Society of Japan ; Volume 86, Issue 11 , 2017 ; 00319015 (ISSN)
  8. URL: https://journals.jps.jp/doi/full/10.7566/JPSJ.86.114707