Fig. 1: The skin effect of doublon-holon excitations.

Schematic diagrams of (a) doublon (doubly occupied site) and holon (empty site) excitations, and (b) their motion in the presence of non-reciprocal hopping. As illustrated in b, non-reciprocal hopping, denoted by red arrows, results in the rightward (leftward) movement of doublons (holons). The gray arrows in b represent the initial positions of fermion spins prior to hopping. Under open boundary conditions, doublon and holon become localized at opposite edges of one dimensional chain. This segregation in localized doublon and holon is responsible for the Non-Hermitan skin effect.