Green functions for nearest- and next-nearest-neighbor hopping on the Bethe lattice

2005/04/30 by Marcus Kollar, M. Kollar, Martin Eckstein +17 · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Cellular Automata and Applications #Quantum and electron transport phenomena #Random Matrices and Applications #cond-mat.str-el

paper · pdf · doi:10.1002/andp.200510152

published as Ann. Phys. (Leipzig) 14, 642 (2005) · 16 pages, 7 figures; minor changes

openalex publication_date 2005/08/18 · arxiv created 2005/08/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

Dedicated to Bernhard Mühlschlegel on the occasion of his 80th birthday We investigate the local density of states and the order parameter structure inside an elliptic quantum corral on surfaces of isotropic and anisotropic superconductors. The Bogoliubov-de Gennes equations are solved in the presence of non-magnetic and magnetic impurities. We observe and discuss a variety of mirage and anti-mirage phenomena, which specifically reflect the nature of the superconducting pairing state.

Citations

• Single-Particle Excitations in Magnetic Insulators
• Hopping on the Bethe lattice: Exact results for densities of states and dynamical mean-field theory

Cited by

• Insulating behavior with spin and charge order in the ionic Hubbard model
• Correlated bosons on a lattice: Dynamical mean-field theory for Bose-Einstein condensed and normal phases
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation

Related

• Hopping on the Bethe lattice: Exact results for densities of states and dynamical mean-field theory
• A Nonperturbative Approach to One-Particle Green's Function
• The Green function for waves on the 2-regular Bethe lattice
• Exceptional Lattice Green's Functions
• Knitting algorithm for calculating Green functions in quantum systems