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Charge Transport in Unconventional Superconductor Junctions

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Fundamentals and Frontiers of the Josephson Effect

Part of the book series: Springer Series in Materials Science ((SSMATERIALS,volume 286))

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Abstract

In this section, we discuss charge transport phenomena in junctions consisting of unconventional superconductors. The sign change of the pair potential on the Fermi surface is the essence of unconventional superconductivity and is responsible for the formation of Andreev bound states (ABSs) at a surface of an unconventional superconductor. Since ABSs are localized energetically at the Fermi level, they affect drastically low-energy transport properties such as the differential conductance in a normal-metal/superconductor junction and the Josephson current in a superconductor/insulator/superconductor junction. Today, unconventional superconductivity is considered as a kind of topologically nontrivial state of electrons. We will show that the zero-bias conductance in a disordered junction is described well by a topological invariant defined in terms of a winding number in one-dimensional Brillouin zone. We also discuss the close relationship between odd-frequency Cooper pairs and Majorana Fermions and their consequences on low-energy charge transport.

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Author information

Authors and Affiliations

  1. Department of Applied Physics, Hokkaido University, Sapporo, 060-8628, Japan

    Yasuhiro Asano

  2. Department of Applied Physics, Nagoya University, Nagoya, 462-8602, Japan

    Yukio Tanaka

Authors
  1. Yasuhiro Asano
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  2. Yukio Tanaka
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Correspondence to Yasuhiro Asano .

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Editors and Affiliations

  1. Dipartimento di Fisica “E.Pancini”, Università di Napoli Federico II, Napoli, Italy

    Francesco Tafuri

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Asano, Y., Tanaka, Y. (2019). Charge Transport in Unconventional Superconductor Junctions. In: Tafuri, F. (eds) Fundamentals and Frontiers of the Josephson Effect. Springer Series in Materials Science, vol 286. Springer, Cham. https://doi.org/10.1007/978-3-030-20726-7_4

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