Topological charge pumping in quasiperiodic systems characterized by the Bott index
Mao Yoshii, Sota Kitamura, Takahiro Morimoto
Abstract
Quasiperiodic systems are a class of materials with long-range order but no translational symmetry. While they are an interesting platform for novel topological phases, conventional topological characterization is not directly applicable due to the lack of translational symmetry. Here, the authors study topological charge pumping in quasiperiodic systems, using a real-space formulation called the Bott index. They study one-dimensional quasiperiodic models based on the Fibonacci lattice, and demonstrate a fractal structure of charge pumping associated with the quasiperiodicity.
Topics & Concepts
Quasiperiodic functionFibonacci numberTopology (electrical circuits)PhysicsFractalQuasicrystalCharge (physics)Topological quantum numberClass (philosophy)Order (exchange)QuasiperiodicityMathematicsStatistical physicsCharacterization (materials science)Topological entropy in physicsTheoretical physicsTopological Materials and PhenomenaQuasicrystal Structures and PropertiesQuantum many-body systems