Anderson localization versus hopping asymmetry in a disordered lattice
arXiv:2407.10746 · doi:10.1103/PhysRevA.110.053517
Abstract
In the framework of non-Hermitian photonics, we investigate the interplay between disorder and non-Hermiticity in a one-dimensional Hatano-Nelson lattice. While Anderson localization dictates the wave's evolution in conservative random systems, the introduction of non-Hermiticity tends to force the beam to unidirectionally propagate towards one edge of the potential due to the existence of skin modes. As we show, the antagonism between these effects results in qualitatively distinct phases of wave diffraction, including counter-intuitive characteristics regarding the relationship between the strength of disorder and the wavepacket's velocity.
10 pages, 11 figures
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Cited by in corpus (6)
- Self-trapping and skin solitons in two-dimensional non-Hermitian lattices
- Non-Hermitian off-diagonal disordered optical lattices
- Defect-driven incoherent skin localization
- Non-Hermitian Delocalization Induced by Residue Imaginary Velocity
- Transport scaling and critical tilt effects in disordered two-dimensional Dirac fermions
- Asymptotically exact solution of the non-Hermitian disordered interacting Hatano-Nelson chain