Study on Green's function on topological insulator surface

作者：Lu Bo^*; Tanaka Yukio

来源：Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences, 2018, 376(2125): 20150246.

DOI：10.1098/rsta.2015.0246

• McMillan's Green's function
• topological Insulator
• Josephson effect
• odd-frequency pairing

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'.

• 出版日期2018-8-6