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Odd-frequency superconducting pairing in Kitaev-based junctions

Tsintzis, Athanasios LU ; Black-Schaffer, Annica M. and Cayao, Jorge (2019) In Physical Review B 100(11).
Abstract

We investigate odd-frequency superconducting correlations in normal-superconductor (NS) and short superconductor-normal-superconductor (SNS) junctions with the S region described by the Kitaev model of spinless fermions in one dimension. We demonstrate that, in both the trivial and topological phases, Andreev reflection is responsible for the coexistence of even- and odd-frequency pair amplitudes in N and S close to the interfaces, while normal reflections additionally only contributes to odd-frequency pairing in S. In the S region close to the NS interface we find that the odd-frequency pair amplitude exhibits large, but finite, values in the topological phase at low frequencies due to the emergence of a Majorana zero mode at the... (More)

We investigate odd-frequency superconducting correlations in normal-superconductor (NS) and short superconductor-normal-superconductor (SNS) junctions with the S region described by the Kitaev model of spinless fermions in one dimension. We demonstrate that, in both the trivial and topological phases, Andreev reflection is responsible for the coexistence of even- and odd-frequency pair amplitudes in N and S close to the interfaces, while normal reflections additionally only contributes to odd-frequency pairing in S. In the S region close to the NS interface we find that the odd-frequency pair amplitude exhibits large, but finite, values in the topological phase at low frequencies due to the emergence of a Majorana zero mode at the interface which also spreads into the N region. We also show that in S both the local density of states and local odd-frequency pairing can be characterized solely by Andreev reflections deep in the topological phase. Moreover, in the topological phase of short SNS junctions, we find that both even- and odd-frequency amplitudes capture the emergence of topological Andreev bound states. For a superconducting phase difference 0<φ<π the odd-frequency magnitude exhibits a linear frequency (∼|ω|) dependence at low frequencies, while at φ=π it develops a resonance peak (∼1/|ω|) due to the protected Majorana zero modes.

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Please use this url to cite or link to this publication:
author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B
volume
100
issue
11
article number
115433
publisher
American Physical Society
external identifiers
  • scopus:85072805335
ISSN
2469-9950
DOI
10.1103/PhysRevB.100.115433
language
English
LU publication?
yes
additional info
Funding Information: We thank L. Komendova, C. Triola, M. Mashkoori, P. Dutta, F. Parhizgar, and D. Kuzmanovski for interesting discussions. This work was made possible by support from the Swedish Research Council (Vetenskapsrådet, 621-2014-3721), the Göran Gustafsson Foundation, the Knut and Alice Wallenberg Foundation through the Wallenberg Academy Fellows program, and the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme (ERC-2017-StG-757553). Publisher Copyright: © 2019 American Physical Society.
id
9cf1bb9f-2806-4c26-a7a6-655584e3d0ff
date added to LUP
2022-03-31 13:47:33
date last changed
2025-04-04 15:25:49
@article{9cf1bb9f-2806-4c26-a7a6-655584e3d0ff,
  abstract     = {{<p>We investigate odd-frequency superconducting correlations in normal-superconductor (NS) and short superconductor-normal-superconductor (SNS) junctions with the S region described by the Kitaev model of spinless fermions in one dimension. We demonstrate that, in both the trivial and topological phases, Andreev reflection is responsible for the coexistence of even- and odd-frequency pair amplitudes in N and S close to the interfaces, while normal reflections additionally only contributes to odd-frequency pairing in S. In the S region close to the NS interface we find that the odd-frequency pair amplitude exhibits large, but finite, values in the topological phase at low frequencies due to the emergence of a Majorana zero mode at the interface which also spreads into the N region. We also show that in S both the local density of states and local odd-frequency pairing can be characterized solely by Andreev reflections deep in the topological phase. Moreover, in the topological phase of short SNS junctions, we find that both even- and odd-frequency amplitudes capture the emergence of topological Andreev bound states. For a superconducting phase difference 0&lt;φ&lt;π the odd-frequency magnitude exhibits a linear frequency (∼|ω|) dependence at low frequencies, while at φ=π it develops a resonance peak (∼1/|ω|) due to the protected Majorana zero modes.</p>}},
  author       = {{Tsintzis, Athanasios and Black-Schaffer, Annica M. and Cayao, Jorge}},
  issn         = {{2469-9950}},
  language     = {{eng}},
  month        = {{09}},
  number       = {{11}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review B}},
  title        = {{Odd-frequency superconducting pairing in Kitaev-based junctions}},
  url          = {{http://dx.doi.org/10.1103/PhysRevB.100.115433}},
  doi          = {{10.1103/PhysRevB.100.115433}},
  volume       = {{100}},
  year         = {{2019}},
}