Majorana Zero-Energy Mode and Fractal Structure in Fibonacci-Kitaev Chain
arXiv:1707.00077 · doi:10.7566/JPSJ.86.114707
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 -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.
5 pages, 4 figures
References in corpus (2)
Cited by in corpus (15)
- Antiferromagnetic order in the Hubbard Model on the Penrose Lattice
- Topological states in quasicrystals
- Physical properties of weak-coupling quasiperiodic superconductors
- Topological superconductivity in Fibonacci quasicrystals
- Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
- Pattern-dependent proximity effect and Majorana edge mode in one-dimensional quasicrystals
- Quasiperiodic pairing in graphene quasicrystals
- Exploiting Anyonic Behavior of Quasicrystals for Topological Quantum Computing
- Higher-dimensional Hofstadter butterfly on Penrose lattice
- Confined states and topological phases in two-dimensional quasicrystalline -flux model
- Unconventional superfluidity of superconductivity on Penrose lattice
- Boundary obstructed topological superconductor in buckled honeycomb lattice under perpendicular electric field
- Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
- Localization and Topology in Noncentrosymmetric Superconductors with Disorder
- Disorder-induced chiral and helical Majorana edge modes in a two-dimensional Ammann-Beenker quasicrystal