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.

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