Non-Bloch band theory and bulk–edge correspondence in non-Hermitian systems
Kazuki Yokomizo, Shuichi Murakami
Abstract
Abstract In this paper, we review our non-Bloch band theory in 1D non-Hermitian tight-binding systems. In our theory, it is shown that in non-Hermitian systems, the Brillouin zone is determined so as to reproduce continuum energy bands in a large open chain. By using simple models, we explain the concept of the non-Bloch band theory and the method to calculate the Brillouin zone. In particular, for the non-Hermitian Su–Schrieffer–Heeger model, the bulk–edge correspondence can be established between the topological invariant defined from our theory and existence of the topological edge states.
Topics & Concepts
Brillouin zonePhysicsHermitian matrixInvariant (physics)Simple (philosophy)Bloch waveQuantum mechanicsElectronic band structureEnhanced Data Rates for GSM EvolutionTheoretical physicsMathematical physicsTelecommunicationsComputer sciencePhilosophyEpistemologyQuantum Mechanics and Non-Hermitian PhysicsTopological Materials and PhenomenaNonlinear Photonic Systems