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Exactly solvable chain of interacting electrons with correlated hopping and pairing
Authors:Igor N Karnaukhov
Institution:G.V. Kurdyumov Institute for Metal Physics, 36 Vernadsky Boulevard, 03142 Kiev, Ukraine
Abstract:A generalization of the Mattis-Nam model Mattis and Nam (1972) 7], which takes into account a correlated hopping and pairing of electrons, is proposed, its exact solution is obtained. In the framework of the model the stability of the zero energy Majorana fermions localized at the boundaries is studied in the chain in which electrons interact through both the on-site Hubbard interaction and the correlated hopping and pairing. The ground-state phase diagram of the model is calculated, the region of existence of topological states is determined. It is shown that low-energy excitations destroy bonds between electrons in the chain, leading to an insulator state.
Keywords:Hubbard interaction  Topological state  Edge modes
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