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Study on Green's Function on Topological Insulator Surface

Study on Green's Function on Topological Insulator Surface

Bo Lu, Yukio Tanaka

Philos Trans A Math Phys Eng Sci. 2018 Aug 6;376(2125):20150246.

PMID: 29941628

Abstract:

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'.

Chemicals Related in the Paper:

Catalog Number	Product Name	Structure	CAS Number	Price
AP3087169	Green S		3087-16-9	Price

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