### Abstract

Original language | English |
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Pages (from-to) | 315701- |

Journal | Journal of physics: Condensed matter |

Volume | 27 |

DOIs | |

Publication status | Published - 2015 |

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### Keywords

- METIS-312319
- IR-97775

### Cite this

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*Journal of physics: Condensed matter*, vol. 27, pp. 315701-. https://doi.org/10.1088/0953-8984/27/31/315701

**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.

Research output: Contribution to journal › Article › Academic › peer-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 -