Cancellation of the Green's function in the generation of continuum bound states by nonlocal potentials

1974 ◽  
Vol 15 (6) ◽  
pp. 770-773 ◽  
Author(s):  
Thomas O. Krause ◽  
Bernard Mulligan
2015 ◽  
Vol 92 (8) ◽  
Author(s):  
Robert-Jan Slager ◽  
Louk Rademaker ◽  
Jan Zaanen ◽  
Leon Balents

2018 ◽  
Vol 15 (04) ◽  
pp. 1850057
Author(s):  
Badri Berrabah ◽  
Baya Bentag ◽  
Ahmida Bendjoudi

The problem of a spineless charged particle with a time-dependent decaying mass interacting with a Coulomb and an inverse quadratic potentials is considered. The Green’s function is explicitly evaluated. The energy levels as well as the wave functions for the bound states are exactly determined.


1999 ◽  
Vol 32 (14) ◽  
pp. 2653-2662 ◽  
Author(s):  
Rafael de Lima Rodrigues ◽  
Arvind Narayan Vaidya

1986 ◽  
Vol 27 (8) ◽  
pp. 2080-2086 ◽  
Author(s):  
B. Talukdar ◽  
U. Laha ◽  
T. Sasakawa

Author(s):  
Bo Lu ◽  
Yukio Tanaka

In the theory of superconducting junctions, Green’s function has an important role for obtaining Andreev bound states, local density of states and Josephson current in a systematic way. In this article, we show how to construct Green’s function on the surface of a topological insulator following McMillan’s formalism where the energy spectrum of electrons obeys a linear dispersion. For a model of a superconductor (S)/ferromagnet (F)/normal metal (N) junction, we show that the generation of a Majorana fermion gives rise to the enhanced local density of states and pair amplitude of odd-frequency pairing. We also derive an extended Furusaki–Tsukada’s formula of DC Josephson current in S/F/S junctions. The obtained Josephson current depends on the direction and magnitude of the magnetization. This article is part of the theme issue ‘Andreev bound states’.


1998 ◽  
Vol 24 (11) ◽  
pp. 2087-2101 ◽  
Author(s):  
A B Balantekin ◽  
J F Beacom ◽  
M A Cândido Ribeiro

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