Study on Green’s function on topological insulator surface
- 20 June 2018
- journal article
- research article
- Published by The Royal Society in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 376 (2125), 20150246
- https://doi.org/10.1098/rsta.2015.0246
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’.Funding Information
- Grant-in-Aid for Scientific Research on Innovative Areas Topological Material Science (15H05853)
- Grant-in-Aid for Scientific Research B (15H03686)
- Grantin-Aid for Challenging Exploratory Research (15K13498)
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