Andreev bound states and current-phase relations in three-dimensional topological insulators

Research output: Contribution to journalArticleAcademicpeer-review

36 Citations (Scopus)

Abstract

To guide the search for the Majorana fermion, we theoretically study superconductor/topological-insulator/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including the doubled periodicity of the Andreev bound states (ABSs) due to tunneling via Majorana states, can still be present at high electron densities. We show that via the inclusion of magnetic layers, this 4π periodic ABS can still be observed in three-dimensional (3D) topological insulators, where finite angle incidence usually results in the opening of a gap at zero energy and hence results in a 2π periodic ABS. Furthermore, we study the Josephson-junction characteristics and find that the gap size can be controlled and decreased by tuning the magnetization direction and amplitude. These findings pave the way for designing experiments on S/3DTI/S junctions.
Original languageUndefined
Article number104507
Pages (from-to)104507-1-104507-7
Number of pages7
JournalPhysical review B: Condensed matter and materials physics
Volume87
Issue number10
DOIs
Publication statusPublished - 2013

Keywords

  • METIS-301224
  • IR-88757

Cite this

@article{22d6f753674142cbbb5cf2d25ee1e033,
title = "Andreev bound states and current-phase relations in three-dimensional topological insulators",
abstract = "To guide the search for the Majorana fermion, we theoretically study superconductor/topological-insulator/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including the doubled periodicity of the Andreev bound states (ABSs) due to tunneling via Majorana states, can still be present at high electron densities. We show that via the inclusion of magnetic layers, this 4π periodic ABS can still be observed in three-dimensional (3D) topological insulators, where finite angle incidence usually results in the opening of a gap at zero energy and hence results in a 2π periodic ABS. Furthermore, we study the Josephson-junction characteristics and find that the gap size can be controlled and decreased by tuning the magnetization direction and amplitude. These findings pave the way for designing experiments on S/3DTI/S junctions.",
keywords = "METIS-301224, IR-88757",
author = "M. Snelder and M. Veldhorst and Golubov, {Alexandre Avraamovitch} and Alexander Brinkman",
year = "2013",
doi = "10.1103/PhysRevB.87.104507",
language = "Undefined",
volume = "87",
pages = "104507--1--104507--7",
journal = "Physical review B: Condensed matter and materials physics",
issn = "1098-0121",
publisher = "American Physical Society",
number = "10",

}

Andreev bound states and current-phase relations in three-dimensional topological insulators. / Snelder, M.; Veldhorst, M.; Golubov, Alexandre Avraamovitch; Brinkman, Alexander.

In: Physical review B: Condensed matter and materials physics, Vol. 87, No. 10, 104507, 2013, p. 104507-1-104507-7.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Andreev bound states and current-phase relations in three-dimensional topological insulators

AU - Snelder, M.

AU - Veldhorst, M.

AU - Golubov, Alexandre Avraamovitch

AU - Brinkman, Alexander

PY - 2013

Y1 - 2013

N2 - To guide the search for the Majorana fermion, we theoretically study superconductor/topological-insulator/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including the doubled periodicity of the Andreev bound states (ABSs) due to tunneling via Majorana states, can still be present at high electron densities. We show that via the inclusion of magnetic layers, this 4π periodic ABS can still be observed in three-dimensional (3D) topological insulators, where finite angle incidence usually results in the opening of a gap at zero energy and hence results in a 2π periodic ABS. Furthermore, we study the Josephson-junction characteristics and find that the gap size can be controlled and decreased by tuning the magnetization direction and amplitude. These findings pave the way for designing experiments on S/3DTI/S junctions.

AB - To guide the search for the Majorana fermion, we theoretically study superconductor/topological-insulator/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including the doubled periodicity of the Andreev bound states (ABSs) due to tunneling via Majorana states, can still be present at high electron densities. We show that via the inclusion of magnetic layers, this 4π periodic ABS can still be observed in three-dimensional (3D) topological insulators, where finite angle incidence usually results in the opening of a gap at zero energy and hence results in a 2π periodic ABS. Furthermore, we study the Josephson-junction characteristics and find that the gap size can be controlled and decreased by tuning the magnetization direction and amplitude. These findings pave the way for designing experiments on S/3DTI/S junctions.

KW - METIS-301224

KW - IR-88757

U2 - 10.1103/PhysRevB.87.104507

DO - 10.1103/PhysRevB.87.104507

M3 - Article

VL - 87

SP - 104507-1-104507-7

JO - Physical review B: Condensed matter and materials physics

JF - Physical review B: Condensed matter and materials physics

SN - 1098-0121

IS - 10

M1 - 104507

ER -