Can single non-Hermitian impurities induce bound states? Here, the authors show that a complex defect in a tight-binding lattice yields dimension-dependent properties, including the collapse and re-emergence of bound states, scale-free localised modes, and cross-shaped localized states with strongly anisotropic decay, unlike standard exponential localisation.
- Emmanouil T. Kokkinakis
- Ioannis Komis
- Eleftherios N. Economou
