Properties of Interfaces and Surfaces in Non-centrosymmetric Superconductors

  • Matthias Eschrig
  • Christian Iniotakis
  • Yukio Tanaka
Chapter
Part of the Lecture Notes in Physics book series (LNP, volume 847)

Abstract

Tunneling spectroscopy at surfaces of unconventional superconductors has proven an invaluable tool for obtaining information about the pairing symmetry. It is known that mid-gap Andreev bound states manifest themselves as zero-bias conductance peaks in tunneling spectroscopy. The zero-bias conductance peak is a signature for a non-trivial pair potential that exhibits different signs on different regions of the Fermi surface. Here, we review recent theoretical results on the spectrum of Andreev bound states near interfaces and surfaces in non-centrosymmetric superconductors. We introduce a theoretical scheme to calculate the energy spectrum of a non-centrosymmetric superconductor. Then, we discuss the interplay between the spin-orbit vector field on the Fermi surface and the order parameter symmetry. The Andreev states carry a spin supercurrent and represent a helical edge mode along the interface. We study the topological nature of the resulting edge currents. If the triplet component of the order parameter dominates, then the helical edge mode exists. If, on the other hand, the singlet component dominates, the helical edge mode is absent. A quantum phase transition occurs for equal spin singlet and triplet order parameter components. We discuss the tunneling conductance and the Andreev point-contact conductance between a normal metal and a non-centrosymmetric superconductor.

Keywords

Fermi Surface Andreev Reflection Tunneling Conductance Spin Conductance Quasiclassical Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The authors would like to thank A. Balatsky, W. Belzig, J. Inoue, S. Kashiwaya, K. Kuroki, N. Nagaosa, J.A. Sauls, G. Schön, M. Sigrist, Y. Tanuma, I. Vekhter, A. Vorontsov, and T. Yokoyama for valuable discussions or contributions in connection with the topic of this chapter.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Matthias Eschrig
    • 1
    • 2
    • 3
  • Christian Iniotakis
    • 4
  • Yukio Tanaka
    • 5
  1. 1.SEPnet and Hubbard Theory Consortium, Department of Physics,Royal HollowayUniversity of LondonEghamUnited Kingdom
  2. 2.Fachbereich PhysikUniversität KonstanzKonstanzGermany
  3. 3.Institut für Theoretische Festkörperphysik and DFG-Center for Functional Nanostructures, Karlsruhe Institute of TechnologyKarlsruheGermany
  4. 4.Institute for Theoretical Physics, ETH ZurichZurichSwitzerland
  5. 5.Department of Applied PhysicsNagoya UniversityNagoyaJapan

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