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We demonstrate the validity of the current fluctuation theorem for a double quantum dot surrounded by four terminals within the Born-, Markov- and secular approximations beyond the Coulomb-blockade regime. The electronic tunneling to two…

Mesoscale and Nanoscale Physics · Physics 2011-11-11 Thilo Krause , Gernot Schaller , Tobias Brandes

We consider a four-terminal setup of a two-dimensional topological insulator (quantum spin Hall insulator) with local tunneling between the upper and lower edges. The edge modes are modeled as helical Luttinger liquids and the…

Strongly Correlated Electrons · Physics 2011-08-30 Thomas L. Schmidt

We study current fluctuations in a Y-shaped conductor connected to external leads with finite impedances. We show that, due to voltage fluctuations in the circuit, the moments of the transferred charges cannot be obtained from simple…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Shin-Tza Wu , Sungkit Yip

We study finite-frequency quantum noise and photon-assisted electron transport through a wide and ballistic graphene sheet sandwiched between two metallic leads. The elementary excitations allow as to examine the differences between effects…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 Jan Hammer , Wolfgang Belzig

The edge channels of two-dimensional topological systems are protected from elastic reflection and are noiseless at low temperature. Yet, noise and cross-correlations can be induced when electron waves partly transmit to the opposite edge…

Mesoscale and Nanoscale Physics · Physics 2015-10-20 Fabrizio Dolcini

Current auto- and cross-correlations are studied in a system of two capacitively coupled quantum dots. We are interested in a role of Coulomb interaction in dynamical correlations, which occur outside the Coulomb blockade region (for high…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Grzegorz Michalek , Bogdan R. Bulka

Statistical properties of the electron transport flowing through nanostructures are strongly influenced by the interactions, geometry of the system and/or by type of the external electrodes. These factors affect not only the average current…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 Grzegorz Michałek , Bogdan R. Bułka , Tadeusz Domański , Karol I. Wysokiński

Split-gate constrictions can be used to produce controllable scattering in a fractional quantum Hall state and constitute a very versatile model system for the investigation of non-Fermi physics in edge states. Controllable inter-edge…

Mesoscale and Nanoscale Physics · Physics 2009-03-24 Stefano Roddaro , Vittorio Pellegrini , Fabio Beltram

We study fluctuations of spin-polarized currents in a three-terminal spin-valve system consisting of a diffusive normal metal wire connected by tunnel junctions to three ferromagnetic terminals. Based on a spin-dependent Boltzmann-Langevin…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Zareyan , W. Belzig

Expressing currents and their fluctuations at the terminals of a multi-probe conductor in terms of the wave functions of carriers injected into the Fermi sea provides new insight into the physics of electric currents. This approach helps us…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 Michael Moskalets

We present a semiclassical theory of current correlations in multiterminal chaotic dot-superconductor junctions, valid in the absence of the proximity effect in the dot. For a dominating coupling of the dot to the normal terminals and a…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Samuelsson , M. Buttiker

We calculate the current cross-correlation for two weakly interacting mesoscopic conductors. Our derivation is based on the two-particle scattering matrix derived in Goorden and B\"uttiker [Phys. Rev. Lett. {\bf 99}, 146801 (2007)]. We…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. C. Goorden , M. Buttiker

We study transport through a quantum dot side-coupled to two parallel Luttinger liquid leads in the presence of a Coulombic dot-lead interaction. This geometry enables an exact treatment of the inter-lead Coulomb interactions. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Florian Elste , David Reichman , Andrew Millis

We study current-current correlation in an electronic analog of a beam splitter realized with edge channels of a fractional quantum Hall liquid at Laughlin filling fractions. In analogy with the known result for chiral electrons, if the…

Mesoscale and Nanoscale Physics · Physics 2016-03-09 G. Campagnano , P. Lucignano , D. Giuliano

The non-linear response of a beam splitter to the coincident arrival of interacting particles enables numerous applications in quantum engineering and metrology yet poses considerable challenge to achieve focused interactions on the…

We study electron transport through a semiconductor quantum ring with one input and two output terminals for an elastic scatterer present within one of the arms of the ring. We demonstrate that the scatterer not only introduces asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2010-04-14 B. Szafran , M. R. Poniedzialek

Experimental results for sequential transport through a lateral quantum dot in the regime of spin blockade induced by spin dependent tunneling are compared with theoretical results obtained by solving a master equation for independent…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. C. Rogge , F. Cavaliere , M. Sassetti , R. J. Haug , B. Kramer

A theory of transport through semiconductor nanostructures in the fractional quantum Hall regime is proposed, based on a model of composite fermion edge states. Adiabatic and non-adiabatic constrictions and constrictions containing…

Condensed Matter · Physics 2009-10-28 George Kirczenow

We consider the out-of-equilibrium behavior of a general class of mesoscopic devices composed of several superconducting or/and normal metal leads separated by quantum dots. Starting from a microscopic Hamiltonian description, we provide a…

Superconductivity · Physics 2020-09-02 R. Jacquet , A. Popoff , K. -I. Imura , J. Rech , T. Jonckheere , L. Raymond , A. Zazunov , T. Martin

In this work, we focus on the finite frequency current-current correlations between edge states in a fractional quantum Hall two dimensional gas and on their relations to the quantum admittance. Using a refermionization method, we calculate…

Mesoscale and Nanoscale Physics · Physics 2013-10-04 Redouane Zamoum , Adeline Crépieux