Current fluctuations in mesoscopic systems with Andreev scattering

Anantram, M. P.; Datta, Supriyo

doi:10.1103/physrevb.53.16390

Cited by 283 publications

(320 citation statements)

References 20 publications

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“…This interplay between normal scattering and Andreev reflections determines the total sign of the cross-correlations. This is, indeed, seen from the expressions of Anantram and Datta [174], who decompose current correlations at different contacts into a sum of positive definite and negative definite contributions.…”

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 93%

“…(157) can be written for each lead of a multi-terminal structure connected to a superconductor. This leads to a second quantization formulation of the current-current correlations put forth by Anantram and Datta [174]. At each normal contact, labeled α, the current is the sum of an electron current I e α and a hole current I h α .…”

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 99%

“…Anantram and Datta [174] consider a three-terminal device with two normal contacts and a contact to the superconductor. The superconductor connects to the normal system via two NS-interfaces forming a loop which permits the application of an Aharonov-Bohm flux.…”

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 99%

“…Khlus [15], and subsequently Anantram and Datta [174] (who used the scattering approach), considered noise in the non-linear regime. Without giving details, we only mention the case of an ideal NS interface coupled to a perfect wire for which all the transmission coefficients T n are equal to one.…”

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 99%

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Shot noise in mesoscopic conductors

2000

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Theoretical and experimental work concerned with dynamic fluctuations has developed into a very active and fascinating subfield of mesoscopic physics. We present a review of this development focusing on shot noise in small electric conductors. Shot noise is a consequence of the quantization of charge. It can be used to obtain information on a system which is not available through conductance measurements. In particular, shot noise experiments can determine the charge and statistics of the quasiparticles relevant for transport, and reveal information on the potential profile and internal energy scales of mesoscopic systems. Shot noise is generally more sensitive to the effects of electron-electron interactions than the average conductance. We present a discussion based on the conceptually transparent scattering approach and on the classical Langevin and BoltzmannLangevin methods; in addition a discussion of results which cannot be obtained by these methods is provided. We conclude the review by pointing out a number of unsolved problems and an outlook on the likely future development of the field.

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Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 93%

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 99%

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 99%

Section: A Shot Noise Of Normal-superconductor Interfacesmentioning

confidence: 99%

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Shot noise in mesoscopic conductors

2000

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“…With the scattering matrix, the average currentĪ i of lead i, the differential shot noise P ij and shot noise C ij can be calculated as 39,40 …”

Section: Model and Formalismmentioning

confidence: 99%

Majorana fermion induced nonlocal current correlations in spin-orbit coupled superconducting wires

2013

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Recent observation of zero bias conductance peaks in semiconductor wire/superconductor heterostructures has generated great interest, and there is a hot debate on whether the observation is associated with Majorana fermions (MFs). Here we study the local and crossed Andreev reflections of two normal leads attached to the two ends of a superconductor-semiconductor wire. We show that the MFs induced crossed Andreev reflections have significant effects on the shot noise of the device and strongly enhance the current-current correlations between the two normal leads. The measurements of shot noise and current-current correlations can be used to identify MFs.

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Photon-assisted tunneling in a hybrid junction based on a quantum dot coupled to two ferromagnets and a superconductor

Bocian

Rudziński

2016

Phys. Status Solidi B

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Photon‐assisted transmission (PAT) through a three‐terminal hybrid system based on a quantum dot coupled to two ferromagnetic (F) and one superconducting (S) electrodes is studied in the sub‐gap regime. Linear conductance is calculated within the non‐equilibrium Green function technique. The effect of PAT on the local and non‐local conductances for arbitrary angles between the magnetic moments of the F electrodes is studied. A generalized formula for the Andreev reflection magnetoresistance (ARMR) is proposed and it is found that the linear conductance may be significantly modified by the photon‐assisted tunneling, while ARMR remains practically unaffected by PAT. Also, the conditions for the ARMR inversion have been determined for an interplay between the transport processes occurring in the system, magnetic polarization of the F leads and the angular configuration of the magnetic moments in the F leads. It has been shown that by manipulating the a.c. amplitude and the photon angular frequency one may control the contributions to the total conductance originating from Andreev reflection, crossed Andreev reflection as well as electron tunneling between the F leads. The influence of the non‐vanishing intradot Coulomb correlations on PAT in the considered three‐terminal hybrid system is also discussed.

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Current fluctuations in mesoscopic systems with Andreev scattering

Cited by 283 publications

References 20 publications

Shot noise in mesoscopic conductors

Shot noise in mesoscopic conductors

Majorana fermion induced nonlocal current correlations in spin-orbit coupled superconducting wires

Photon-assisted tunneling in a hybrid junction based on a quantum dot coupled to two ferromagnets and a superconductor

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