Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor

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Abstract

To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. We show how the pairing symmetry changes across different topological regimes. We demonstrate that a dominant p-wave pairing relation is not sufficient to realise a Majorana zero-energy mode useful for quantum computation. Our main result is the relation between odd-frequency pairing and Majorana zero energy modes by using Green functions techniques in three-dimensional topological insulators in the so-called Majorana regime. We discuss thereafter how the pairing relations in the different regimes can be observed in the tunneling conductance of an s-wave proximised three-dimensional topological insulator. We discuss the necessity to incorporate a ferromagnetic insulator to localise the zero-energy bound state to the interface as a Majorana mode.
Original languageEnglish
Pages (from-to)315701-
JournalJournal of physics: Condensed matter
Volume27
DOIs
Publication statusPublished - 2015

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Observability
Superconducting materials
proximity
insulators
Quantum computers
Green's function
energy
symmetry
quantum computation
Green's functions

Keywords

  • METIS-312319
  • IR-97775

Cite this

@article{d86c42bd09804d54bee9fe67385c8e7c,
title = "Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor",
abstract = "To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. We show how the pairing symmetry changes across different topological regimes. We demonstrate that a dominant p-wave pairing relation is not sufficient to realise a Majorana zero-energy mode useful for quantum computation. Our main result is the relation between odd-frequency pairing and Majorana zero energy modes by using Green functions techniques in three-dimensional topological insulators in the so-called Majorana regime. We discuss thereafter how the pairing relations in the different regimes can be observed in the tunneling conductance of an s-wave proximised three-dimensional topological insulator. We discuss the necessity to incorporate a ferromagnetic insulator to localise the zero-energy bound state to the interface as a Majorana mode.",
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author = "M. Snelder and Y. Asano and Golubov, {Alexandre Avraamovitch} and Alexander Brinkman",
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Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor. / Snelder, M.; Asano, Y.; Golubov, Alexandre Avraamovitch; Brinkman, Alexander.

In: Journal of physics: Condensed matter, Vol. 27, 2015, p. 315701-.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor

AU - Snelder, M.

AU - Asano, Y.

AU - Golubov, Alexandre Avraamovitch

AU - Brinkman, Alexander

N1 - Open access

PY - 2015

Y1 - 2015

N2 - To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. We show how the pairing symmetry changes across different topological regimes. We demonstrate that a dominant p-wave pairing relation is not sufficient to realise a Majorana zero-energy mode useful for quantum computation. Our main result is the relation between odd-frequency pairing and Majorana zero energy modes by using Green functions techniques in three-dimensional topological insulators in the so-called Majorana regime. We discuss thereafter how the pairing relations in the different regimes can be observed in the tunneling conductance of an s-wave proximised three-dimensional topological insulator. We discuss the necessity to incorporate a ferromagnetic insulator to localise the zero-energy bound state to the interface as a Majorana mode.

AB - To guide experimental work on the search for Majorana zero-energy modes, we calculate the superconducting pairing symmetry of a three-dimensional topological insulator in combination with an s-wave superconductor. We show how the pairing symmetry changes across different topological regimes. We demonstrate that a dominant p-wave pairing relation is not sufficient to realise a Majorana zero-energy mode useful for quantum computation. Our main result is the relation between odd-frequency pairing and Majorana zero energy modes by using Green functions techniques in three-dimensional topological insulators in the so-called Majorana regime. We discuss thereafter how the pairing relations in the different regimes can be observed in the tunneling conductance of an s-wave proximised three-dimensional topological insulator. We discuss the necessity to incorporate a ferromagnetic insulator to localise the zero-energy bound state to the interface as a Majorana mode.

KW - METIS-312319

KW - IR-97775

U2 - 10.1088/0953-8984/27/31/315701

DO - 10.1088/0953-8984/27/31/315701

M3 - Article

VL - 27

SP - 315701-

JO - Journal of physics: Condensed matter

JF - Journal of physics: Condensed matter

SN - 0953-8984

ER -