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

作者:Ghadimi Rasoul*; Sugimoto Takanori; Tohyama Takami
来源:Journal of the Physical Society of Japan, 2017, 86(11): 114707.
DOI:10.7566/JPSJ.86.114707

摘要

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.

  • 出版日期2017-11-15