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Odd-frequency superconducting pairing in Kitaev-based junctions
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory. Lund Univ, Div Solid State Phys & NanoLund, Box 118, S-22100 Lund, Sweden.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
2019 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 100, no 11, article id 115433Article in journal (Refereed) Published
Abstract [en]

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 < phi < pi the odd-frequency magnitude exhibits a linear frequency (similar to vertical bar omega vertical bar) dependence at low frequencies, while at phi = pi it develops a resonance peak (similar to 1/vertical bar omega vertical bar) due to the protected Majorana zero modes.

Place, publisher, year, edition, pages
AMER PHYSICAL SOC , 2019. Vol. 100, no 11, article id 115433
National Category
Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-395838DOI: 10.1103/PhysRevB.100.115433ISI: 000488255500006OAI: oai:DiVA.org:uu-395838DiVA, id: diva2:1365554
Funder
Swedish Research Council, 621-2014-3721Knut and Alice Wallenberg FoundationEU, European Research Council, ERC-2017-StG-757553Göran Gustafsson Foundation for Research in Natural Sciences and MedicineAvailable from: 2019-10-25 Created: 2019-10-25 Last updated: 2019-10-25Bibliographically approved

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Black-Schaffer, Annica M.Cayao, Jorge

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