Machine Learning Optimization of Majorana Hybrid Nanowires

Matthias, Thamm,; Rosenow, Bernd

doi:10.1103/physrevlett.130.116202

Cited by 8 publications

(3 citation statements)

References 81 publications

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“…Nevertheless, ML can still be useful in certain scenarios. Recent studies have shown that ML can optimize Majorana wire gate arrays towards improved topological signatures with reduced disorder effects [184].…”

Section: Future Prospectivementioning

confidence: 99%

Topological superconductors from a materials perspective

Mandal¹,

Drucker²,

Siriviboon³

et al. 2023

Preprint

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Topological superconductors (TSCs) have garnered significant research and industry attention in the past two decades. By hosting Majorana bound states which can be used as qubits that are robust against local perturbations, TSCs offer a promising platform toward (nonuniversal) topological quantum computation. However, there has been a scarcity of TSC candidates, and the experimental signatures that identify a TSC are often elusive. In this perspective, after a short review of the TSC basics and theories, we provide an overview of the TSC materials candidates, including natural compounds and synthetic material systems. We further introduce various experimental techniques to

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Section: Future Prospectivementioning

confidence: 99%

Topological superconductors from a materials perspective

Mandal¹,

Drucker²,

Siriviboon³

et al. 2023

Preprint

View full text Add to dashboard Cite

show abstract

“…Nevertheless, ML can still be useful in certain scenarios. Recent studies have shown that ML can optimize Majorana wire gate arrays toward improved topological signatures with reduced disorder effects …”

Section: Future Prospectivementioning

confidence: 99%

“…Recent studies have shown that ML can optimize Majorana wire gate arrays toward improved topological signatures with reduced disorder effects. 203 Despite the OOD problem, we can leverage various OOD detection models through ensemble learning 204 as a confidence predictor for absent, null phases. This predictor can be used to screen the existing material database or incorporated into a generative adversarial model, which has been highly successful in the field of image generation, to generate new candidates for materials not present in the training phases.…”

Section: Future Prospectivementioning

confidence: 99%

Topological Superconductors from a Materials Perspective

Mandal,

Drucker,

Siriviboon

et al. 2023

Chem. Mater.

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Topological superconductors (TSCs) have garnered significant research and industry attention in the past two decades. By hosting Majorana bound states which can be used as qubits that are robust against local perturbations, TSCs offer a promising platform toward (nonuniversal) topological quantum computation. However, there has been a scarcity of TSC candidates, and the experimental signatures that identify a TSC are often elusive. In this Perspective, after a short review of the TSC basics and theories, we provide an overview of the TSC materials candidates, including natural compounds and synthetic material systems. We further introduce various experimental techniques to probe TSCs, focusing on how a system is identified as a TSC candidate and why a conclusive answer is often challenging to draw. We conclude by calling for new experimental signatures and stronger computational support to accelerate the search for new TSC candidates.

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Theory of Majorana Zero Modes in Unconventional Superconductors

Tanaka,

Tamura,

Cayao

2024

Progress of Theoretical and Experimental Physics

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Majorana fermions are spin-1/2 neutral particles that are their own antiparticles and were initially predicted by Ettore Majorana in particle physics but their observation still remains elusive. The concept of Majorana fermions has been borrowed into condensed matter physics, where, unlike particle physics, Majorana fermions emerge as zero-energy quasiparticles that can be engineered by combining electrons and holes and have therefore been coined Majorana zero modes. In this review, we provide a pedagogical explanation of the basic properties of Majorana zero modes in unconventional superconductors and their consequences in experimental observables, putting a special emphasis on the initial theoretical discoveries. In particular, we first show that Majorana zero modes are self-conjugated and emerge as a special type of zero energy surface Andreev bound states at the boundary of unconventional superconductors. We then explore Majorana zero modes in one-dimensional spin-polarized p-wave superconductors, where we address the formation of topological superconductivity and the physical realization in superconductor-semiconductor hybrids. In this part we highlight that Majorana quasiparticles appear as zero-energy edge states, exhibiting charge neutrality, spin-polarized, and spatial nonlocality as unique properties that can be already seen from their energies and wavefunctions. Next, we discuss analytically obtained Green’s functions of p-wave superconductors and demonstrate that the emergence of Majorana zero modes is always accompanied by the formation of odd-frequency spin-triplet pairing as a unique result of the self-conjugate nature of Majorana zero modes. We finally address the signatures of Majorana zero modes in tunneling spectroscopy, including the anomalous proximity effect, and the phase-biased Josephson effect.

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Machine Learning Optimization of Majorana Hybrid Nanowires

Cited by 8 publications

References 81 publications

Topological superconductors from a materials perspective

Topological superconductors from a materials perspective

Topological Superconductors from a Materials Perspective

Theory of Majorana Zero Modes in Unconventional Superconductors

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