Phase Control of Majorana Bound States in a Topological 
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 Junction

Zhou, Tong; Dartiailh, Matthieu; Mayer, William; Han, Jong E.; Matos-Abiague, Alex; Shabani, Javad; Žutić, Igor

doi:10.1103/physrevlett.124.137001

Cited by 48 publications

(24 citation statements)

References 59 publications

(62 reference statements)

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“…Moreover, our material was also shown to have a strong spin-orbit coupling, resulting in a recently reported evidence of the induced p-wave order in the presence of an in-plane magnetic field [60]. With our work all components are now in place to explore trijunctions of topological superconductors, required for braiding of Majorana fermions [22,23,61]. Finally, gated three-and four-terminal junctions can act as superconducting digital devices [62], tunable superconducting transformers, and nonlinear elements, which can be useful for controlling superconducting quantum bits [63] and creating quantumlimited sensors and amplifiers [64].…”

Section: Discussionmentioning

confidence: 81%

Multiterminal Josephson Effect

et al. 2020

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We report a probable observation of the dc Josephson effect in mesoscopic junctions of three and four superconductors. The devices are fabricated in a top-down fashion from a hybrid semiconductorsuperconductor InAs=Al epitaxial heterostructure. In general, the critical current of an N-terminal junction is an (N − 1)-dimensional hypersurface in the space of bias currents, which can be reduced to a set of critical current contours. The geometry of critical current contours exhibits nontrivial responses to electrical gating, magnetic field, and phase bias, and it can be reproduced by the scattering formulation of the Josephson effect generalized to the case of N > 2. Besides establishing solid ground beneath a host of recent theory proposals, our experiment accomplishes an important step toward creating trijunctions of topological superconductors, essential for braiding operations.

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Section: Discussionmentioning

confidence: 81%

Multiterminal Josephson Effect

et al. 2020

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“…The recent discovery of topological superconductivity in phase-controlled planar Josephson junctions (JJs) is, therefore, a major step towards the realization of a two-dimensional array of MBS for designing scalable braiding protocols [15][16][17][18] . The JJ geometry provides additional control to tune the MBS by changing the shape of the junction, strain and unconventional SOC [19][20][21][22] . Previous works on the JJ-based platforms, however, revealed the requirements of a strong intrinsic Rashba SOC and π-phase biasing of the JJ.…”

Section: Introductionmentioning

confidence: 99%

Skyrmion Control of Majorana States in Planar Josephson Junctions

Mohanta

Okamoto

Dagotto

2021

Preprint

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Planar Josephson junctions provide a versatile platform, alternative to the nanowire-based geometry, for the generation of the Majorana bound states, due to the additional phase tunability of the topological superconductivity. The proximity induction of chiral magnetism and superconductivity in a two-dimensional electron gas showed remarkable promises to manipulate topological superconductivity. Here, we consider a Josephson junction involving a skyrmion crystal and show that the chiral magnetism of the skyrmions can create and control the Majorana bound states without the requirement of an intrinsic Rashba spin-orbit coupling. Interestingly, the Majorana bound states in our geometry are realized robustly at zero phase difference at the junction. The skyrmion radius, being externally tunable by a magnetic field or a magnetic anisotropy, brings a unique control feature for the Majorana bound states.

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“…In addition, we assume that the semiconductor hosts a persistent spin-helix (PSH) state, which is studied intensively in the field of spintronics [43][44][45][46]. This work is inspired by the innovative studies on planar topological Josephson junctions (TJJs), which is attracting much attention recently [6,47,[49][50][51][52][53][54][55][56]. In a planar TJJ, effective topological superconductivity is realized at the one-dimensional interfacial region of the two-dimensional Josephson junction.…”

Section: Introductionmentioning

confidence: 99%

Flat-band Majorana bound states in topological Josephson junctions

Oshima¹,

Ikegaya²,

Schnyder³

et al. 2021

Preprint

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Nodal topological superconductors characterized by px-wave pairing symmetry host flat-band Majorana bound states causing drastic anomalies in low-energy electromagnetic responses. Nevertheless, the study of flat-band Majorana bound states has been at a standstill owing to a serious lack of candidate materials for px-wave superconductors. In this paper, by expanding a scheme of planar topological Josephson junctions, we propose a promising device realizing an effective px-wave superconductor. Specifically, we consider a three-dimensional Josephson junction consisting of a thin-film semiconductor hosting a persistent spin-helix state and two conventional s-wave superconductors. We analytically obtain a topological phase diagram and numerically demonstrate the emergence of flat-band Majorana bound states by calculating the local density of states.

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Phase Control of Majorana Bound States in a Topological X Junction

Cited by 48 publications

References 59 publications

Multiterminal Josephson Effect

Multiterminal Josephson Effect

Skyrmion Control of Majorana States in Planar Josephson Junctions

Flat-band Majorana bound states in topological Josephson junctions

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