Signature of a pair of Majorana zero modes in superconducting gold surface states

Manna, Sujit; Peng, Wei; Xie, Ying-Ming; Law, K. T.; Lee, Patrick A.; Moodera, Jagadeesh S.

doi:10.1073/pnas.1919753117

Cited by 139 publications

(66 citation statements)

References 57 publications

(86 reference statements)

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“…(34) gradually narrows and diverges, and flips sign as the tuning parameters M = (J, T ) cross the critical point M c , as that described in Eqs. ( 13) and (14). Numerically, we extract critical exponents…”

Section: A Correlation Function and Fidelity Susceptibility For Periodically Driven Kitaev Modelmentioning

confidence: 99%

“…In addition to representing solid-state realizations of the elusive Majorana fermion in particle physics [4], their nonabelian exchange statistics could be exploited to robustly encode quantum information via braiding schemes [5][6][7]. In recent years, preliminary experimental evidence for their existence [8][9][10][11][12][13][14][15] and notable progress in devising topological quantum computation protocols [16][17][18] fostered an intensive investigation of systems hosting MMs, such as the zerodimensional (0D) edge state at the end of one-dimensional (1D) topological superconductors [19], and the 1D edge state at the boundaries of two-dimensional (2D) topological superconductors [20][21][22]. If time-reversal symmetry (TRS) is present, as in the prototypical Kitaev model on a honeycomb lattice [20], MMs are immobile (nondispersive).…”

Section: Introductionmentioning

confidence: 99%

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Crossdimensional universality classes in static and periodically driven Kitaev models

et al. 2021

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The Kitaev model on the honeycomb lattice is a paradigmatic system known to host a wealth of nontrivial topological phases and Majorana edge modes. In the static case, the Majorana edge modes are nondispersive. When the system is periodically driven in time, such edge modes can disperse and become chiral. We obtain the full phase diagram of the driven model as a function of the coupling and the driving period. We characterize the quantum criticality of the different topological phase transitions in both the static and driven model via the notions of Majorana-Wannier state correlation functions and momentum-dependent fidelity susceptibilities. We show that the system hosts crossdimensional universality classes: although the static Kitaev model is defined on a two-dimensional (2D) honeycomb lattice, its criticality falls into the universality class of one-dimensional (1D) linear Dirac models. For the periodically driven Kitaev model, in addition to the universality class of prototype 2D linear Dirac models, an additional 1D nodal loop type of criticality exists owing to emergent time-reversal and mirror symmetries, indicating the possibility of engineering multiple universality classes by periodic driving. The manipulation of time-reversal symmetry allows the periodic driving to control the chirality of the Majorana edge states.

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Section: A Correlation Function and Fidelity Susceptibility For Periodically Driven Kitaev Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Crossdimensional universality classes in static and periodically driven Kitaev models

et al. 2021

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“…However, due to the different velocities and superconducting gaps in each of the pockets, the superconducting coherence lengths will be different in each case, thus enabling the existence of a region with a single Majorana at each end. Such a scenario may help to understand the topological phase diagram of proximitized Rashba states in gold nanowires found in a recent study 28 , 31 . This largely expands the spectrum of material platforms for realization of our proposal, which is a testimony to its great versatility.…”

Section: Discussionmentioning

confidence: 71%

Creating Majorana modes from segmented Fermi surface

Papaj

2021

Nat Commun

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Majorana bound states provide a fertile ground for both investigation of fundamental phenomena as well as for applications in quantum computation. However, despite enormous experimental and theoretical efforts, the currently available Majorana platforms suffer from a multitude of issues that prevent full realization of their potential. Therefore, improved Majorana systems are still highly sought after. Here we present a platform for creating Majorana bound states from 2D gapless superconducting state in spin-helical systems under the in-plane magnetic or Zeeman field. Topological 1D channels are formed by quantum confinement of quasiparticles via Andreev reflection from the surrounding fully gapped superconducting region. Our proposal can be realized using narrow strips of magnetic insulators on top of proximitized 3D topological insulators. This setup has key advantages that include: small required fields, no necessity of fine-tuning of chemical potential, removal of the low-energy detrimental states, and large attainable topological gap.

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“…So far, Majorana particles remained enigmatic entities, but recently, research groups claimed to have observed "signatures" of these exotic objects (Zhang et al, 2018;Manna et al, 2020). The publication by Zhang et al in Nature was heralded as the "third step" in a Majorana trilogy: from the prediction by Ettore Majorana in 1937, via the group's disappointed first efforts at confirmation, up to the final publication, presented as "definite proof" of the particle's existence.…”

Section: A First Case History: the Majorana Particlementioning

confidence: 99%

Psychoanalysing Technoscience

Zwart

2021

Philosophy of Engineering and Technology

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While the previous chapter discussed the shift from Hegelian dialectics to dialectical materialism, this chapter addresses the shift from dialectics to psychoanalysis, notably in France, paying due attention to the productive tensions between both approaches. After a concise exposition of Freudian psychoanalysis, focussing on Beyond the Pleasure Principle, the text in which Freud explicitly “plunged into the thickets” of modern biology (Gay, 1988, p. 401), I will extensively discuss the views of Gaston Bachelard and Jacques Lacan on technoscience. Building on a previous publication (Zwart, 2019a), where I already presented a psychoanalytic understanding of technoscience, which I don’t want to duplicate here (focussing on the oeuvres of Sigmund Freud, Carl Gustav Jung, Gaston Bachelard and Jacques Lacan), I will now emphasise the continuity between dialectic and psychoanalysis, indicating how dialectics remains an important moment in Bachelard’s and Lacan’s efforts to develop a psychoanalysis of technoscience, both as a discourse and as a practice. In addition, I will elucidate the added value of this convergence by extrapolating it to three concrete case studies, one borrowed from particle physics and two from life sciences research: the Majorana particle, the malaria mosquito and the nude mouse.

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Signature of a pair of Majorana zero modes in superconducting gold surface states

Cited by 139 publications

References 57 publications

Crossdimensional universality classes in static and periodically driven Kitaev models

Crossdimensional universality classes in static and periodically driven Kitaev models

Creating Majorana modes from segmented Fermi surface

Psychoanalysing Technoscience

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