Anomalous Edge State in a Non-Hermitian Lattice
dc.contributor.author | Lee, Tony E. | |
dc.contributor.department | Department of Physics, School of Science | en_US |
dc.date.accessioned | 2016-11-15T19:04:39Z | |
dc.date.available | 2016-11-15T19:04:39Z | |
dc.date.issued | 2016-04 | |
dc.description.abstract | We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is described by a non-Hermitian Hamiltonian that encircles an exceptional point in momentum space. The winding number has a fractional value of 1/2. There is only one dynamically stable zero-energy edge state due to the defectiveness of the Hamiltonian. This edge state is robust to disorder due to protection by a chiral symmetry. We also discuss experimental realization with arrays of coupled resonator optical waveguides. | en_US |
dc.eprint.version | Final published version | en_US |
dc.identifier.citation | Lee, T. E. (2016). Anomalous Edge State in a Non-Hermitian Lattice. Physical Review Letters, 116(13), 133903. https://doi.org/10.1103/PhysRevLett.116.133903 | en_US |
dc.identifier.uri | https://hdl.handle.net/1805/11457 | |
dc.language.iso | en | en_US |
dc.publisher | APS | en_US |
dc.relation.isversionof | 10.1103/PhysRevLett.116.133903 | en_US |
dc.relation.journal | Physical Review Letters | en_US |
dc.rights | Publisher Policy | en_US |
dc.source | Publisher | en_US |
dc.subject | topological insulators | en_US |
dc.subject | non-Hermiticity | en_US |
dc.title | Anomalous Edge State in a Non-Hermitian Lattice | en_US |
dc.type | Article | en_US |