English

Analytical results for Green's functions of lattice fermions

Mesoscale and Nanoscale Physics 2017-10-11 v1

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.

Keywords

Cite

@article{arxiv.1706.06463,
  title  = {Analytical results for Green's functions of lattice fermions},
  author = {A. Komnik and S. Heinze},
  journal= {arXiv preprint arXiv:1706.06463},
  year   = {2017}
}

Comments

16 pages, 7 figures