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We study the full charge counting statistics of a charge pump based on a nearly open single electron transistor. The problem is mapped onto an exactly soluble problem of a g=1/2 non-equilibrium Luttinger liquid with an impurity. We obtain…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 A. V. Andreev , E. G. Mishchenko

The charge transfer statistics of a tunnel junction coupled to a quantum object is studied using the charge projection technique. The joint dynamics of the quantum object and the number of charges transferred through the junction is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 J. Wabnig , D. V. Khomitsky , J. Rammer , A. L. Shelankov

We consider the microwave dynamics and transport properties of a voltage-biased single-Cooper-pair transistor. The dynamics is shown to be strongly affected by interference between multiple microwave-induced inter-level transitions. As a…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 L. Y. Gorelik , S. I. Kulinich , R. I. Shekhter , M. Jonson

We developed a theoretical framework which extends the method of \textit{full counting statistics} (FCS) from conventional single channel Kondo screening schemes to multi-channel Kondo paradigm. The developed idea of FCS has been…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 D. B. Karki , Mikhail N. Kiselev

We propose a highly-scalable method to compute the statistics of charge transfer in driven conductors. The framework can be applied in situations of non-zero temperature, strong coupling to terminals and in the presence of non-periodic…

We study charge transport in a single-electron transistor implemented as an interferometer such that the Coulomb blockaded middle island contains a circular chiral Majorana or Dirac edge mode. We concentrate on the regime of small…

Mesoscale and Nanoscale Physics · Physics 2023-03-14 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

Using scattering theory, we investigate interferometers composed of chiral Majorana fermion modes coupled to normal metal leads. We advance an approach in which also the basis states in the normal leads are written in terms of Majorana…

Mesoscale and Nanoscale Physics · Physics 2012-04-26 Jian Li , Geneviève Fleury , Markus Büttiker

Full counting statistics concerns the stochastic transport of electrons in mesoscopic structures. Recently it has been shown that the charge transport statistics for non-interacting electrons in a two-terminal system is always generalized…

Mesoscale and Nanoscale Physics · Physics 2011-03-04 Dania Kambly , Christian Flindt , Markus Büttiker

Majorana qubits offer a promising way to store and manipulate quantum information by encoding it into the state of Majorana zero modes. As the information is stored in a topological property of the system, local noise cannot lead to…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 Christoph Ohm , Fabian Hassler

Majorana zero modes are predicted in several solid state systems such as hybrid superconductor-semiconductor structures and topological insulators coupled to superconductors. One of the expected signatures of Majorana modes is the…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 S. R. Mudi , S. M. Frolov

We analyze the spin-resolved full counting statistics of electron transfer through an ultrasmall quantum dot coupled to metallic electrodes. Modelling the setup by the Anderson Hamiltonian, we explicitly take into account the onsite Coulomb…

Mesoscale and Nanoscale Physics · Physics 2008-04-04 T. L. Schmidt , A. Komnik , A. O. Gogolin

The full counting statistics of charge transport is the probability distribution $p_n(t_m)$ that $n$ electrons have flown through the system in measuring time $t_m$. The cumulant generating function (CGF) of this distribution $F(\chi,t_m)$…

Mesoscale and Nanoscale Physics · Physics 2015-11-05 Sam T. Carr , Peter Schmitteckert , Hubert Saleur

The time dependent full counting statistics of charge transport through an interacting quantum junction is evaluated from its generating function, controllably computed with the inchworm Monte Carlo method. Exact noninteracting results are…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Michael Ridley , Viveka Nand Singh , Emanuel Gull , Guy Cohen

We report on measurements of single electron tunneling through a quantum dot using a quantum point contact as non-invasive charge detector with fast time response. We elaborate on the unambiguous identification of individual tunneling…

Mesoscale and Nanoscale Physics · Physics 2010-03-03 Christian Fricke , Frank Hohls , Christian Flindt , Rolf J. Haug

We evaluate the current distribution for a single-electron transistor with intermediate strength tunnel conductance. Using the Schwinger-Keldysh approach and the drone (Majorana) fermion representation we account for the renormalization of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yasuhiro Utsumi , Dmitri S. Golubev , Gerd Schön

A superconductor-normal metal-superconductor mesoscopic Josephson junction has been realized in which the critical current is tuned through normal current injection using a symmetric electron cooler directly connected to the weak link. Both…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 A. M. Savin , J. P. Pekola , J. T. Flyktman , A. Anthore , F. Giazotto

We theoretically consider transport properties of a normal metal (N)- superconducting semiconductor nanowire (S)-normal metal (N) structure (NSN) in the context of the possible existence of Majorana bound states in disordered…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Alejandro M. Lobos , S. Das Sarma

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

Quantum Physics · Physics 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

We review the main theoretical and experimental results for the transmon, a superconducting charge qubit derived from the Cooper pair box. The increased ratio of the Josephson to charging energy results in an exponential suppression of the…

Mesoscale and Nanoscale Physics · Physics 2009-08-11 A. A. Houck , Jens Koch , M. H. Devoret , S. M. Girvin , R. J. Schoelkopf

We describe ground states of correlated electron systems in which the electron fractionalizes into separate quasiparticles which carry its spin and its charge, and into real Majorana fermions which carry its Fermi statistics. Such parent…

Strongly Correlated Electrons · Physics 2010-10-21 Cenke Xu , Subir Sachdev
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