Reproducing topological properties with quasi-Majorana states
Adriaan Vuik, Bas Nijholt, Anton R. Akhmerov, Michael Wimmer
SciPost Phys. 7, 061 (2019) · published 12 November 2019
- doi: 10.21468/SciPostPhys.7.5.061
- Submissions/Reports
Abstract
Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias conductance features in a topologically trivial phase, mimicking spatially separated topological Majorana states. We show that in addition to the suppressed coupling between the quasi-Majorana states, also the coupling of these states across a tunnel barrier to the outside is exponentially different for increasing magnetic field. As a consequence, quasi-Majorana states mimic most of the proposed Majorana signatures: quantized zero-bias peaks, the $4\pi$ Josephson effect, and the tunneling spectrum in presence of a normal quantum dot. We identify a quantized conductance dip instead of a peak in the open regime as a distinguishing feature of true Majorana states in addition to having a bulk topological transition. Because braiding schemes rely only on the ability to couple to individual Majorana states, the exponential control over coupling strengths allows to also use quasi-Majorana states for braiding. Therefore, while the appearance of quasi-Majorana states complicates the observation of topological Majorana states, it opens an alternative route towards braiding of non-Abelian anyons and protected quantum computation.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.7.5.061
TI - Reproducing topological properties with quasi-Majorana states
PY - 2019/11/12
UR - https://www.scipost.org/SciPostPhys.7.5.061
JF - SciPost Physics
JA - SciPost Phys.
VL - 7
IS - 5
SP - 061
A1 - Vuik, Adriaan
AU - Nijholt, Bas
AU - Akhmerov, Anton R.
AU - Wimmer, Michael
AB - Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias conductance features in a topologically trivial phase, mimicking spatially separated topological Majorana states. We show that in addition to the suppressed coupling between the quasi-Majorana states, also the coupling of these states across a tunnel barrier to the outside is exponentially different for increasing magnetic field. As a consequence, quasi-Majorana states mimic most of the proposed Majorana signatures: quantized zero-bias peaks, the $4\pi$ Josephson effect, and the tunneling spectrum in presence of a normal quantum dot. We identify a quantized conductance dip instead of a peak in the open regime as a distinguishing feature of true Majorana states in addition to having a bulk topological transition. Because braiding schemes rely only on the ability to couple to individual Majorana states, the exponential control over coupling strengths allows to also use quasi-Majorana states for braiding. Therefore, while the appearance of quasi-Majorana states complicates the observation of topological Majorana states, it opens an alternative route towards braiding of non-Abelian anyons and protected quantum computation.
ER -
@Article{10.21468/SciPostPhys.7.5.061,
title={{Reproducing topological properties with quasi-Majorana states}},
author={Adriaan Vuik and Bas Nijholt and Anton R. Akhmerov and Michael Wimmer},
journal={SciPost Phys.},
volume={7},
pages={061},
year={2019},
publisher={SciPost},
doi={10.21468/SciPostPhys.7.5.061},
url={https://scipost.org/10.21468/SciPostPhys.7.5.061},
}
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Authors / Affiliation: mappings to Contributors and Organizations
See all Organizations.- 1 Adriaan Vuik,
- 1 Bas Nijholt,
- 1 Anton R. Akhmerov,
- 1 Michael Wimmer