Crystalline Anisotropic Topological Superconductivity in Planar Josephson Junctions

Pakizer, Joseph D.; Scharf, Benedikt; Matos-Abiague, Alex

doi:10.48550/arxiv.2007.03498

Cited by 2 publications

(2 citation statements)

References 62 publications

(82 reference statements)

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“…This indicates that the π phase difference still favors the superconducting state with a sizable topological gap, even with θ 0, as predicted in Ref. [52]. Thus, unless specified, in the following sections we fix φ = π between the adjacent S regions.…”

Section: Theoretical Frameworkmentioning

confidence: 60%

Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems

Zhou,

Dartiailh,

Sardashti

et al. 2021

Preprint

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A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two spatially separated MBS, provides a powerful platform for implementing fault-tolerant topological quantum computing. However, despite intensive efforts, experimental support for MBS remains indirect and does not probe their non-Abelian statistics. Here we propose how to overcome this obstacle in minigate controlled planar Josephson junctions (JJ) and demonstrate non-Abelian statistics through MBS fusion, detected by charge sensing using a quantum point contact. The feasibility of preparing, manipulating, and fusing MBS in two-dimensional (2D) systems is supported in our experiments which demonstrate the control of superconducting properties with five mini gates in InAs/Al-based JJs. While we focus on this well-established platform, where the topological superconductivity was already experimentally detected, our proposal to identify elusive non-Abelian statistics motivates also further MBS studies in other gate-controlled 2D systems.

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Section: Theoretical Frameworkmentioning

confidence: 60%

Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems

Zhou,

Dartiailh,

Sardashti

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

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“…While identifying the relevant form of SOC is a challenge even in the normal state [10,12], in the superconducting state already a modest SOC can give a strong anisotropy in the transport properties [24,[95][96][97] and enable extracting the resulting SOC. Identifying SOC, either intrinsic, or generated through magnetic textures, remains important for understanding which systems could host Majorana bound states [37,[98][99][100][101][102][103][104][105][106][107][108][109][110][111].…”

mentioning

confidence: 99%

Cubic spin-orbit coupling and anomalous Josephson effect in planar junctions

Alidoust,

Shen,

Zutic

2021

Preprint

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Spin-orbit coupling in two-dimensional systems is usually characterized by Rashba and Dresselhaus spin-orbit coupling (SOC) linear in the wave vector. However, there is a growing class of materials which instead support dominant SOC cubic in the wave vector (cSOC), while their superconducting properties remain unexplored. By focusing on Josephson junctions in Zeeman field with superconductors separated by a normal cSOC region, we reveal a strongly anharmonic current-phase relation and complex spin structure. An experimental cSOC tunability enables both tunable anomalous phase shift and supercurrent, which flows even at the zero-phase difference in the junction. A fingerprint of cSOC in Josephson junctions is the f -wave spin-triplet superconducting correlations, important for superconducting spintronics and supporting Majorana bound states.

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Crystalline Anisotropic Topological Superconductivity in Planar Josephson Junctions

Cited by 2 publications

References 62 publications

Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems

Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems

Cubic spin-orbit coupling and anomalous Josephson effect in planar junctions

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