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Odd-frequency pairing of interacting Majorana fermions

Zhoushen Huang, P. Wölfle, and A. V. Balatsky
Phys. Rev. B 92, 121404(R) – Published 14 September 2015
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Abstract

Majorana fermions are rising as a promising key component in quantum computation. Although the prevalent approach is to use a quadratic (i.e., noninteracting) Majorana Hamiltonian, when expressed in terms of Dirac fermions, generically the Hamiltonian involves interaction terms. Here we focus on the possible pair correlations in a simple model system. We study a model of Majorana fermions coupled to a boson mode and show that the anomalous correlator between different Majorana fermions, located at opposite ends of a topological wire, exhibits odd-frequency behavior. It is stabilized when the coupling strength g is above a critical value gc. We use both, conventional diagrammatic theory and a functional integral approach, to derive the gap equation, the critical temperature, the gap function, the critical coupling, and a Ginzburg-Landau theory that allows discussing a possible subleading admixture of even-frequency pairing.

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  • Received 3 August 2015

DOI:https://doi.org/10.1103/PhysRevB.92.121404

©2015 American Physical Society

Authors & Affiliations

Zhoushen Huang1, P. Wölfle2,3, and A. V. Balatsky1,4,*

  • 1Institute for Materials Science, Los Alamos National Laboratory, New Mexico 87545, USA
  • 2Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, D-76131 Karlsruhe, Germany
  • 3Institut für Nanotechnologie, Karlsruher Institut für Technologie, D-76021 Karlsruhe, Germany
  • 4NORDITA, Center for Quantum Materials, Roslagstullsbacken 23, SE-106 91 Stockholm, Sweden

  • *avb@nordita.org

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Issue

Vol. 92, Iss. 12 — 15 September 2015

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