Confinement-induced zero-bias peaks in conventional superconductor hybrids

Cayao, Jorge; Burset, Pablo

doi:10.1103/physrevb.104.134507

Cited by 23 publications

(5 citation statements)

References 96 publications

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“…In the vicinity of the barrier, the unintentionally formed quantum dot or nonuniform potential formed in the vicinity of the interface gives rise to the formation of nearly zero-energy Andreev bound states. Such Andreev bound states mimic the plateau of (0) = 2 2 ∕ℎ even in the topologically trivial region of the magnetic field ( < c ) Liu et al (2017), Prada et al (2020), Cayao & Burset (2021), Yu et al (2021), Valentini et al (2021). From the plateau of (0), it is not possible to identify whether the observed (0) ∼ 2 2 ∕ℎ is due to Majorana zero mode or the effect of accidentally formed s bound states.…”

Section: Platforms For Majorana Zero Modesmentioning

confidence: 97%

Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

Yumoto¹,

Mizushima²,

Nitta³

2023

Preprint

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Anyons are particles obeying statistics of neither bosons nor fermions. Non-Abelian anyons, whose exchanges are described by a non-Abelian group acting on a set of wave functions, are attracting a great attention because of possible applications to topological quantum computations. Braiding of non-Abelian anyons corresponds to quantum computations. The simplest non-Abelian anyons are Ising anyons which can be realized by Majorana fermions hosted by vortices or edges of topological superconductors, = 5∕2 quantum Hall states, spin liquids, and dense quark matter. While Ising anyons are insufficient for universal quantum computations, Fibonacci anyons present in = 12∕5 quantum Hall states can be used for universal quantum computations. Yang-Lee anyons are nonunitary counterparts of Fibonacci anyons. Another possibility of non-Abelian anyons (of bosonic origin) is given by vortex anyons, which are constructed from non-Abelian vortices supported by a non-Abelian first homotopy group, relevant for certain nematic liquid crystals, superfluid 3 He, spinor Bose-Einstein condensates, and high density quark matter. Finally, there is a unique system admitting two types of non-Abelian anyons, Majorana fermions (Ising anyons) and non-Abelian vortex anyons. That is 3 2 superfluids (spin-triplet, -wave paring of neutrons), expected to exist in neutron star interiors as the largest topological quantum matter in our universe.

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Section: Platforms For Majorana Zero Modesmentioning

confidence: 97%

Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

Yumoto¹,

Mizushima²,

Nitta³

2023

Preprint

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“…As expected, these quantized peaks merge at eV = 0 for φ = π where the MKPs appear, i.e., a single Majorana bound state contributes 2e 2 /h to the conductance. Moreover, the conductance quantization remains robust against D for φ = π, exhibiting the celebrated zero-biased conductance peak due to Majorana states [39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56] [Fig. 2(d)].…”

Section: Tunneling Spectroscopy Of N/i/s Junctionsmentioning

confidence: 99%

Phase-tunable multiple Andreev reflections in a quantum spin Hall strip

Yang¹,

Burset²,

Lü³

2023

Preprint

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“…a single Majorana bound state contributes 2e 2 /h to the conductance. Moreover, the conductance quantization remains robust against D for ϕ = π, exhibiting the celebrated zero-biased conductance peak due to Majorana states [53][54][55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70] (figure 6(d)). At the same time, the π-difference decreases the local density of states at the gap edges eV = ±∆ 0 .…”

Section: Appendix B Tunneling Spectroscopy Of a Normal-superconductor...mentioning

confidence: 99%

Phase-tunable multiple Andreev reflections in a quantum spin Hall strip

Yang

Burset

2023

Supercond. Sci. Technol.

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A quantum spin Hall strip where different edges are contacted by $s$-wave superconductors with a phase difference $\phi$ supports Majorana bound states protected by time-reversal symmetry. We study signatures of these states in a four-terminal setup where two Josephson junctions are built on opposite edges of the strip and the phase difference between superconductors can be controlled by an external flux. Applying a voltage bias across the quantum spin Hall strip results in a sequence of conductance peaks from multiple Andreev reflections. We find that this so-called subharmonic gap structure is very sensitive to the phase difference and displays a phase-controlled even-odd effect, where all odd spikes disappear when the Majorana states are formed for $\phi=\pi$. Moreover, the remaining even spikes split when the superconductors forming the junction have different gap size. We explain these features by showing that any midgap bound states enhance the transmission of the even order multiple Andreev reflections, while the reduced density of states at the gap edges suppresses the odd order ones.

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Confinement-induced zero-bias peaks in conventional superconductor hybrids

Cited by 23 publications

References 96 publications

Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

Non-Abelian Anyons and Non-Abelian Vortices in Topological Superconductors

Phase-tunable multiple Andreev reflections in a quantum spin Hall strip

Phase-tunable multiple Andreev reflections in a quantum spin Hall strip

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