Non-Hermitian skin clusters from strong interactions

Abstract Strong, non-perturbative interactions often lead to new exciting physics, as epitomized by emergent anyons from the Fractional Quantum hall effect. Within actively investigated domain of non-Hermitian we provide a family states known skin clusters. Taking distinct forms Vertex, Topological, Interface, Extended and Localized clusters, they generically originate asymmetric correlated hoppings on lattice, in strongly interacting limit with quenched single-body energetics. Distinct modes which accumulate at boundaries, our clusters are predominantly translation invariant particle As purely phenomena, fall outside purview generalized Brillouin zone analysis, although effective lattice formulation provides alternative analytic topological characterization. Non-Hermitian fragmentation structure Hilbert space may thus be significant interest modern many-body contexts such Eigenstate thermalization hypothesis (ETH) quantum scars.