Analytical results for Green's functions of lattice fermions

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 new results. In particular we derive an explicit expression for arbitrary Green's function of an open Kitaev chain and discover non-local fermionic corner states in a 2D p-wave superconductor.

16 pages, 7 figures

References in corpus (4)

• Non-Abelian Anyons and Topological Quantum Computation
• Hanbury Brown and Twiss noise correlations in a topological superconductor beam splitter
• Conductance of a Finite Kitaev Chain
• Lattice Green's function approach to the solution of the spectrum of an array of quantum dots and its linear conductance

Cited by in corpus (3)

• Green's functions and DOS for some 2D lattices
• Universal properties of boundary and interface charges in multichannel one-dimensional models without symmetry constraints
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models