Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions

Das, Anindya; Ronen, Yuval; Most, Yonatan; Oreg, Yuval; Heiblum, Moty; Shtrikman, Hadas

doi:10.1038/nphys2479

Cited by 2,151 publications

(2,392 citation statements)

References 42 publications

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“…Since the early experimental efforts toward the generation and characterization of Majorana zero modes (MZMs) in nanowires, [1][2][3][4][5] remarkable progress has been accomplished. [6][7][8] Cleaner devices, with longer mean free paths and much more robust-induced superconductivity, are now available.…”

Section: Introductionmentioning

confidence: 99%

Zero-energy pinning from interactions in Majorana nanowires

et al. 2017

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Majorana zero modes at the boundaries of topological superconductors are charge-neutral, an equal superposition of electrons and holes. This ideal situation is, however, hard to achieve in physical implementations, such as proximitized semiconducting nanowires of realistic length. In such systems Majorana overlaps are unavoidable and lead to their hybridization into charged Bogoliubov quasiparticles of finite energy, which, unlike true zero modes, are affected by electronic interactions. We here demonstrate that these interactions, particularly with bound charges in the dielectric surroundings, drastically change the non-interacting paradigm. Remarkably, interactions may completely suppress Majorana hybridization around parity crossings, where the total charge in the nanowire changes. This effect, dubbed zero-energy pinning, stabilizes Majoranas back to zero energy and charge, and leads to electronically incompressible parameter regions wherein Majoranas remain insensitive to local perturbations, despite their overlap.

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Section: Introductionmentioning

confidence: 99%

Zero-energy pinning from interactions in Majorana nanowires

et al. 2017

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“…We instead envision a realization [ Fig. 1(a)] that exploits Majorana zero modes germinated in proximitized semiconductor nanowires [41,42]-a leading experimental architecture for topological quantum information applications [5][6][7][8][9]11,[13][14][15].…”

mentioning

confidence: 99%

“…Majorana fermions provide building blocks for many novel phenomena. As one notable example, Majorana-fermion zero modes [1,2] capture the essence of non-Abelian statistics and topological quantum computation [3,4], and correspondingly now form the centerpiece of a vibrant experimental effort [5][6][7][8][9][10][11][12][13][14][15][16]. More recently, randomly interacting Majorana fermions governed by the "Sachdev-YeKitaev (SYK) model" [17][18][19] were shown to exhibit sharp connections to chaos, quantum-information scrambling, and black holes-naturally igniting broad interdisciplinary activity (see, e.g., [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]).…”

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confidence: 99%

Approximating the Sachdev-Ye-Kitaev model with Majorana wires

2017

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The Sachdev-Ye-Kitaev (SYK) model describes a collection of randomly interacting Majorana fermions that exhibits profound connections to quantum chaos and black holes. We propose a solid-state implementation based on a quantum dot coupled to an array of topological superconducting wires hosting Majorana zero modes. Interactions and disorder intrinsic to the dot mediate the desired random Majorana couplings, while an approximate symmetry suppresses additional unwanted terms. We use random-matrix theory and numerics to show that our setup emulates the SYK model (up to corrections that we quantify) and discuss experimental signatures. DOI: 10.1103/PhysRevB.96.121119 Introduction. Majorana fermions provide building blocks for many novel phenomena. As one notable example, Majorana-fermion zero modes [1,2] capture the essence of non-Abelian statistics and topological quantum computation [3,4], and correspondingly now form the centerpiece of a vibrant experimental effort [5][6][7][8][9][10][11][12][13][14][15][16]. More recently, randomly interacting Majorana fermions governed by the "Sachdev-YeKitaev (SYK) model" [17][18][19] were shown to exhibit sharp connections to chaos, quantum-information scrambling, and black holes-naturally igniting broad interdisciplinary activity (see, e.g., [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39]). The goal of this Rapid Communication is to exploit hardware components of a Majorana-based topological quantum computer for a tabletop implementation of the SYK model, thus uniting these very different topics.The SYK Hamiltonian reads

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“…Recently, there has been a tremendous effort in designing and realizing materials platforms where topological superconductivity and MFs can be successfully obtained. This is demonstrated by the proposal of a large variety of systems based on heterostructures made of topological insulators or semiconductors interfaced with s-wave superconductors (SCs) [6][7][8][9][10] as well as by the subsequent experimental evidence of MFs in hybrid superconducting devices [11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Magnetic manipulation of topological states in p-wave superconductors

Mercaldo

Cuoco

Kotetes

2018

Physica B: Condensed Matter

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Substantial experimental investigation has provided evidence for spin-triplet pairing in diverse classes of materials and in a variety of artificial heterostructures. A fundamental challenge in actual experiments is how to manipulate the topological behavior of p-wave superconductors (PSCs) that could open perspectives for applications. Such a control knob is naturally provided by the spintriplet character of the PSC order parameter, described by the spin d-vector. Therefore, in this work we investigate the magnetic field response of one-dimensional (1d) PSCs and demonstrate that the structure of the Cooper pair spin-configuration is crucial to set topological phases with an enhanced number of Majorana fermions per edge, N , ranging from N = 0 to 4. The topological phase diagram, consisting of phases with Majorana modes at the edge, becomes significantly modified when one tunes the strength of the applied field and allows for long range hopping amplitudes in the 1d PSC. We find transitions between phases with different number of Majorana fermions per edge that can be both induced by a variation of the hopping strength and a spin rotation of d. Hence, the interplay of the applied magnetic field and the internal spin degree of freedom of the PSC opens a new promising route for engineering topological phases with large number of Majorana modes.

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Zero-bias peaks and splitting in an Al–InAs nanowire topological superconductor as a signature of Majorana fermions

Cited by 2,151 publications

References 42 publications

Zero-energy pinning from interactions in Majorana nanowires

Zero-energy pinning from interactions in Majorana nanowires

Approximating the Sachdev-Ye-Kitaev model with Majorana wires

Magnetic manipulation of topological states in p-wave superconductors

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