2017/07/31 by Rasoul Ghadimi, Takanori Sugimoto, Takami Tohyama · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Chain (unit) #Fibonacci number #Fractal #MAJORANA #Pairing #Phase (matter) #Phase diagram #Quantum many-body systems #Quasiperiodic function #Quasiperiodicity #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.7566/jpsj.86.114707
published as J. Phys. Soc. Jpn., Vol.86, No.11, Article ID: 114707(2017) · 5 pages, 4 figures
openalex created_date 2017/07/14 · openalex publication_date 2017/10/09 · arxiv created 2017/10/11 · arxiv updated 2017/10/12 · openalex updated_date 2026/08/05
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.