Winding numbers and generalized mobility edges in non-Hermitian systems
Qi-Bo Zeng, Yong Xu
Abstract
This paper presents a self-dual symmetry which determines the Anderson localization in non-Hermitian quasiperiodic lattices. The authors show that the mobility edges in non-Hermitian quasiperiodic systems are of topological nature, due to the energy spectra for the extended states and localized states displaying different structures
Topics & Concepts
Quasiperiodic functionTopology (electrical circuits)Symmetry (geometry)MathematicsPhysicsWinding numberSpectral lineSpectrum (functional analysis)Anderson localizationEnergy (signal processing)Statistical physicsNetwork topologyEnergy spectrumQuasicrystalMathematical analysisEnhanced Data Rates for GSM EvolutionQuantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaAdvanced Physical and Chemical Molecular Interactions