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Transport through a tunnel junction connecting a superconductor to a spin-aligned quantum Hall fluid at filling $\nu$ is studied theoretically. The dominant transport channel at low temperatures is the tunnelling of Cooper pairs into edge…

Condensed Matter · Physics 2009-10-22 Matthew P. A. Fisher

We study intrinsic noise of current in a superconducting single-electron transistor, taking into account both coherence effects and Coulomb interaction near a Cooper-pair resonance. Due to this interplay, the statistics of tunneling events…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mahn-Soo Choi , Francesco Plastina , Rosario Fazio

We propose tunnel junctions of a Hall bar and a superconducting lead, for observing Cooper-pair tunneling into singlet fractional quantum Hall edge states. These tunnel junctions provide a natural means of extracting precise information of…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Eun-Ah Kim , Smitha Vishveshwara , Eduardo Fradkin

We propose a simple phenomenological theory for quantum tunneling of Cooper pairs based on their boson like nature. Thus it applies in the absence of quasiparticle excitations (fermions), and should be suitable for boson like particles at…

Superconductivity · Physics 2020-09-15 Edgar J. Patiño , Daniel Lozano-Gómez

In this paper, we carry out a theoretical analysis of the zero-frequency and finite-frequency shot noise in electron tunneling through a two-level interacting system connected to two leads, when a coherent coupling between the two levels is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Ivana Djuric , Bing Dong , H. L. Cui

We consider a double quantum dot coupled to two normal leads and one superconducting lead, modeling the Cooper pair beam splitter studied in two recent experiments. Starting from a microscopic Hamiltonian we derive a general expression for…

Mesoscale and Nanoscale Physics · Physics 2011-03-25 D. Chevallier , J. Rech , T. Jonckheere , T. Martin

A theoretical calculation is presented of current noise which is due charge fractionalization, in two interacting edge channels in the integer quantum Hall state at filling factor $\nu=2$. Because of the capacitive coupling between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Izhar Neder

We implement a quantum approach which includes long range Coulomb interaction and investigate current voltage characteristics and shot noise in double barrier resonant diodes. Theory applies to the region of low applied voltages up to the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 V. Ya. Aleshkin , L. Reggiani , N. V. Alkeev , V. E. Lyubchenko , C. N. Ironside , J. M. L. Figueiredo , C. R. Stanley

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

We investigate the electronic transport through a single molecule in a strong electron-phonon coupling regime. Based on a particle-hole transformation which is made suitable for non-equilibrium situation, we treat the pair tunneling and…

Mesoscale and Nanoscale Physics · Physics 2008-09-24 Myung-Joong Hwang , Mahn-Soo Choi , Rosa Lopez

We consider electrical transport through single molecules coupled to metal electrodes via tunneling barriers. Approximating the molecule by the Anderson impurity model as the simplest model which includes Coulomb charging effects, we extend…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Axel Thielmann , Matthias H. Hettler , Jürgen König , Gerd Schön

We theoretically study tunneling of Cooper pairs from a superconductor spanning a two-dimensional topological insulator strip into its helical edge states. The coherent low-energy electron-pair tunneling sets off positive current cross…

Mesoscale and Nanoscale Physics · Physics 2010-12-06 Koji Sato , Daniel Loss , Yaroslav Tserkovnyak

We consider the electronic analog of the Hong-Ou-Mandel interferometer from quantum optics. In this realistic condensed matter device, single electrons are injected and travel along opposite chiral edge states of the integer quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2016-06-22 J. Rech , C. Wahl , T. Jonckheere , T. Martin

We analyze charge tunneling statistics and current noise in a superconducting single-electron transistor in a regime where the Josephson-quasiparticle cycle is the dominant mechanism of transport. Due to the interplay between Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Mahn-Soo Choi , Francesco Plastina , Rosario Fazio

Charge transfer in a tunnel junction is studied under dc and ac voltage bias using quantum shot noise. Under dc voltage bias $V$, spectral density of noise measured within a very large bandwidth enables to deduce the current-current…

Mesoscale and Nanoscale Physics · Physics 2017-02-16 Julien Gabelli , Karl Thibault , Gabriel Gasse , Christian Lupien , Bertrand Reulet

We derive general expressions for the current and shot noise, taking into account non-Markovian memory effects. In generalization of previous approaches our theory is valid for arbitrary Coulomb interaction and coupling strength and is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. Thielmann , M. H. Hettler , J. König , G. Schön

Single-charge tunneling in ultrasmall voltage biased SIS junctions in a high-impedance electromagnetic environment is considered. The Cooper pair current is calculated at T=0 on the basis of the elementary tunnel Hamiltonian for…

Condensed Matter · Physics 2016-08-15 A. Hädicke , W. Krech

We discuss the interplay between transport and intrinsic dissipation in quantum Hall bilayers, within the framework of a simple thought experiment. We compute, for the first time, quantum corrections to the semiclassical dynamics of this…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Robert L. Jack , Derek K. K. Lee , Nigel R. Cooper

We investigate the zero-frequency shot noise of electronic tunneling through a single quantum dot (SQD) and coherently coupled quantum dots (CQD) taking into account the Coulomb interaction. Within Hartree-Fock approximation, the analytical…

Mesoscale and Nanoscale Physics · Physics 2014-12-11 Bo Xiong , Guo-Hui Ding , Bing Dong

We analyze transport through a quantum point contact in fractional quantum Hall states with counter-propagating neutral edge modes. We show that both the noise (as expected and previously calculated by other authors) and (perhaps…

Strongly Correlated Electrons · Physics 2014-12-10 Jennifer Cano , Chetan Nayak
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