Work

Generalized Aubry-André self-duality and mobility edges in non-Hermitian quasiperiodic lattices

Year: 2020

Type: article

Abstract: We demonstrate the existence of generalized Aubry-Andr\'e self-duality in a class of non-Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the analytical expression of mobility edges is derived. Compared to Hermitian systems, mobility edges in non-Hermitian ones not only separate localized from extended states but also indicate the coexistence of complex and real eigenenergies, making possible a topological characterization of mobility edges. An experimental scheme, based on optical pulse propagation in synthetic photonic mesh lattices, is suggested to implement a non-Hermitian quasicrystal displaying mobility edges.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.102.024205

Authors: Tong Liu, Hao Guo, Yong Pu, Stefano Longhi

Institutions: Nanjing University of Posts and Telecommunications, Southeast University, Consejo Superior de Investigaciones Científicas, Institute for Cross-Disciplinary Physics and Complex Systems, Politecnico di Milano

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: National Natural Science Foundation of China, Government of Jiangsu Province, Natural Science Foundation of Jiangsu Province, Agencia Estatal de Investigación