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Analytical results for the Green's functions of lattice fermions

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We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different… Click to show full abstract

We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different dimensions, we obtain a number of noteworthy results. In particular, we derive an explicit expression for an arbitrary Green's function of an open Kitaev chain, and we discover nonlocal fermionic corner states in a two-dimensional $p$-wave superconductor.

Keywords: functions lattice; results green; green functions; analytical results; lattice fermions

Journal Title: Physical Review B
Year Published: 2017

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