Transport effects in non-Hermitian nonreciprocal systems: General approach
arXiv:2302.03240 · doi:10.1103/PhysRevB.107.125155
Abstract
In this paper, we present a unifying analytical framework for identifying conditions for transport effects such as reflectionless and transparent transport, lasing, and coherent perfect absorption in non-Hermitian nonreciprocal systems using a generalized transfer matrix method. This provides a universal approach to studying the transport of tight-binding platforms, including higher-dimensional models and those with an internal degree of freedom going beyond the previously studied case of one-dimensional chains with nearest-neighbor couplings. For a specific class of tight-binding models, the relevant transport conditions and their signatures of non-Hermitian, nonreciprocal, and topological behavior are analytically tractable from a general perspective. We investigate this class and illustrate our formalism in a paradigmatic ladder model where the system's parameters can be tuned to adjust the transport effect and topological phases.
arXiv comment4 figures, 12 pages
References in corpus (32)
- Topological Photonics
- Topological Photonics
- Edge states and topological invariants of non-Hermitian systems
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Non-Hermitian Physics
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Coherent Perfect Absorbers: Time-reversed Lasers
- Anomalous edge state in a non-Hermitian lattice
- Correspondence between winding numbers and skin modes in non-hermitian systems
- PT-symmetric laser-absorber
- Non-Hermitian Chern bands
- Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
- Complex Edge-State Phase Transitions in 1D Topological Laser Arrays
- Non-Hermitian Topological Invariants in Real Space
- Topological Hybrid Silicon Microlasers
- Observation of coherent perfect absorption at an exceptional point
- Probing non-Hermitian Skin Effect and non-Bloch Phase Transitions
- Non-Hermitian skin modes induced by on-site dissipations and chiral tunneling effect
- Non-Hermitian systems and topology: A transfer-matrix perspective
- Anomalous helical edge states in a non-Hermitian Chern insulator
- Quantum noise and self-sustained radiation of PT-symmetric systems
- Non-Hermitian transparency and one-way transport in low-dimensional lattices by an imaginary gauge field
- Non-Hermitian Edge Burst
- Nonreciprocal response theory of nonhermitian mechanical metamaterials: response phase transition from the skin effect of zero modes
- Of Bulk and Boundaries: Generalized Transfer Matrices for Tight-Binding Models
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Compatibility of transport effects in non-Hermitian nonreciprocal systems
- Self-Shielded Topological Receiver Protectors
- Nonlinear Spectral Singularities and Laser Output Intensity
- Spectral singularities and tunable slab lasers with 2D material coating
- Fractal energy carpets in non-Hermitian Hofstadter quantum mechanics