Universal features of spin transport and breaking of unitary symmetries

Jacquod, Philippe; Adagideli, İnanç

doi:10.1103/physrevb.88.041305

Cited by 8 publications

(4 citation statements)

References 32 publications

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“…It is well known that the proximity effect induces Cooper pairs correlations across the dots [11,12] generating effectively superconductivity [13]. Interestingly, Fractional Josephson effect, a signature of the presence of MFs [5,14,15], in a quadruple quantum dot in the presence of an s-wave superconductor has been predicted by Markus Büttiker and coworkers [16].…”

Section: Introductionmentioning

confidence: 88%

Floquet Majorana fermions in superconducting quantum dots

Benito¹,

Platero²

2015

Physica E: Low-dimensional Systems and Nanostructures

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We consider different configurations of ac driven quantum dots coupled to superconductor leads where Majorana fermions can exist as collective quasiparticles. The main goal is to tune the existence, localization and properties of these zero energy quasiparticles by means of periodically driven external gates. In particular, we analyze the relevance of the system and driving symmetry. We predict the existence of different sweet spots with Floquet Majorana fermions in configurations where they are not present in the undriven system.

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Section: Introductionmentioning

confidence: 88%

Floquet Majorana fermions in superconducting quantum dots

Benito¹,

Platero²

2015

Physica E: Low-dimensional Systems and Nanostructures

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“…Different interference setups have been proposed to detect the nontrivial phase in the SC nanowire. If it is embedded in one of the arms of Aharonov-Bohm (AB) ring, then the Majorana excitation permits to transfer individual electrons and holes instead of Cooper pairs resulting in the change of the magnetoconductance oscillation period [25][26][27] and generation of the h/e harmonic of flux-independent persistent current [28,29]. The ways to distinguish between the Majorana and Andreev bound states were analyzed as well [27,30,31].…”

Section: Introductionmentioning

confidence: 99%

Manifestation of Majorana modes overlap in the Aharonov–Bohm effect

Aksenov¹

2022

J. Phys.: Condens. Matter

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One of the key features of the Majorana bound states emerging in topological superconducting (SC) wires is increasing oscillations of their energy under the growth of magnetic ﬁeld or chemical potential due to concomitant enhancement of hybridization of the Majorana mode wave functions initially localized at the opposite edges of the structure. In this study we found that the other consequence of it is a shift of Aharonov-Bohm (AB) oscillations of linear-response conductance in an interference device where two ends of the SC wire connected with a normal contact via non-SC wires (arms). In addition, it is accompanied by an oscillation period doubling. The numerical calculations for the spinful system are supported by the analytical results for diﬀerent spinless models allowing to track the conductance evolution as the hybridization of the Majorana modes increases. It is shown that since the coupling between the diﬀerent arms and normal contact is implemented only via the diﬀerent-type Majoranas the AB oscillations acquire a fundamental π/2 shift in comparison with the eﬀect for an analogous system of zero-energy quantum dots.

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“…Two ingredients that influence the expected value of electronic transport moments significantly are the tunneling barriers effect [22, 24, 28-30, 33-35, 37-43], caused by the junction between the terminal and the billiard, and overall number of terminals [23,[44][45][46][47]. Some exact results are available for ideally connected multiterminals in the literature [48]. On the other hand, works that consider both the tunneling barriers effect and multiterminals are, in general, perturbative calculations that are only valid in the regime of a large number of open channels [23,28,29].…”

Section: Introductionmentioning

confidence: 99%

Electronic transport in three-terminal chaotic systems with a tunnel barrier

Oliveira¹,

Barbosa²,

Novaes³

2022

J. Phys. A: Math. Theor.

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We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a multiterminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical approximation based on matrix integrals, we calculate several transport statistics, such as average and variance of conductance, average shot-noise power, among others, that give access to the extreme quantum regime (small channel numbers in the terminal) for broken and intact time-reversal symmetry, which the traditional random matrix approach does not access. As an application, we treat the dephasing regime.

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Universal features of spin transport and breaking of unitary symmetries

Cited by 8 publications

References 32 publications

Floquet Majorana fermions in superconducting quantum dots

Floquet Majorana fermions in superconducting quantum dots

Manifestation of Majorana modes overlap in the Aharonov–Bohm effect

Electronic transport in three-terminal chaotic systems with a tunnel barrier

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