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We study the out-of-equilibrium transport in a Tomonaga-Luttinger liquid containing a weak or a tunneling barrier coupled to an arbitrary electromagnetic environment. This applies as well to a coherent one-channel non-interacting conductor…

Mesoscale and Nanoscale Physics · Physics 2013-11-26 J. -R. Souquet , I. Safi , P. Simon

We present the experimental realization of a Quantum Dot (QD) operating as a high-frequency noise detector. Current fluctuations produced in a nearby Quantum Point Contact (QPC) ionize the QD and induce transport through excited states. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. Onac , F. Balestro , L. H. Willems van Beveren , U. Hartmann , Y. V. Nazarov , L. P. Kouwenhoven

Non-equilibrium bosonization technique is used to study current fluctuations of interacting electrons in a single-channel quantum wire representing a Luttinger liquid (LL) conductor. An exact expression for the full counting statistics of…

Strongly Correlated Electrons · Physics 2010-12-14 D. B. Gutman , Yuval Gefen , A. D. Mirlin

Quantum detector properties of the quantum point contact (QPC) are analyzed for arbitrary electron transparency and coupling strength to the measured system and are shown to be determined by the electron counting statistics. Conditions of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri V. Averin , Eugene V. Sukhorukov

Tunneling spectroscopy of one-dimensional interacting wires can be profoundly sensitive to the boundary conditions of the wire. Here, we analyze the tunneling spectroscopy of a wire coupled to capacitive metallic leads. Strikingly, with…

Mesoscale and Nanoscale Physics · Physics 2019-04-03 Antonio Štrkalj , Michael S. Ferguson , Tobias M. R. Wolf , Ivan Levkivskyi , Oded Zilberberg

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. We demonstrate that the notion of weak localization is applicable to the strongly correlated…

Disordered Systems and Neural Networks · Physics 2007-05-23 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

We model one-dimensional transport through each open channel of a quantum wire by a Luttinger liquid with three different interaction parameters for the leads, the contact regions and the wire, and with two barriers at the contacts. We show…

Strongly Correlated Electrons · Physics 2009-10-31 Siddhartha Lal , Sumathi Rao , Diptiman Sen

Recent experiments performed on weakly pinched quantum point contacts, have shown a resistance that tend to decrease at low source drain voltage. We show that enhanced Coulomb interactions, prompt by the presence of the point contact, may…

Strongly Correlated Electrons · Physics 2009-11-11 Dganit Meidan , Yuval Oreg

We investigate the indirect interaction between two isolated impurities in a Luttinger liquid described by a microscopic lattice model. To treat the electron-electron interaction U the functional renormalization group method is used. For…

Strongly Correlated Electrons · Physics 2009-11-13 P. Waechter , V. Meden , K. Schoenhammer

Current quantum noise can be pictured as a sum over transitions through which the electronic system exchanges energy with its environment. We formulate this picture and use it to show which type of current correlators are measurable, and in…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 U. Gavish , Y. Imry , Y. Levinson

We study non-equilibrium noise in Chiral Luttinger Liquids using the Landauer-Buttiker Scattering approach, obtaining the current/voltage noise spectrum for a four-terminal measurement scheme. Experimental consequences of the tunneling of…

Condensed Matter · Physics 2007-05-23 C. de C. Chamon , D. E. Freed , X. G. Wen

We investigate theoretically the nonequilibrium finite-frequency current noise in a four-terminal quantum point contact of interacting helical edge states at a finite bias voltage. Special focus is put on the effects of the single-particle…

Strongly Correlated Electrons · Physics 2013-07-17 Yu-Wen Lee , Yu-Li Lee , Chung-Hou Chung

We investigate the instabilities that may lead to the breakdown of the Luttinger liquid in the small-diameter (5,0) nanotubes, paying attention to the competition between the effective interaction mediated by phonon-exchange and the Coulomb…

Strongly Correlated Electrons · Physics 2009-11-11 J. Gonzalez , E. Perfetto

We study the transport properties of interacting electrons in a disordered quantum wire within the framework of the Luttinger liquid model. The conductivity at finite temperature is nonzero only because of inelastic electron-electron…

Disordered Systems and Neural Networks · Physics 2009-11-10 I. V. Gornyi , A. D. Mirlin , D. G. Polyakov

When combining lumped mesoscopic electronic components to form a circuit, quantum fluctuations of electrical quantities lead to a non-linear electromagnetic interaction between the components that is not generally understood. The…

Mesoscale and Nanoscale Physics · Physics 2016-07-13 C. Altimiras , F. Portier , P. Joyez

We report on the effects of a global top gate on low-frequency noise in Schottky gate-defined quantum point contacts (QPCs) and quantum dots (QDs) in a modulation-doped Si/SiGe heterostructure. For a relatively large top gate voltage, the…

Mesoscale and Nanoscale Physics · Physics 2013-04-02 K. Takeda , T. Obata , Y. Fukuoka , W. M. Akhtar , J. Kamioka , T. Kodera , S. Oda , S. Tarucha

We investigate the noise properties of pump currents through molecular wires and coupled quantum dots. As a model we employ a two level system that is connected to electron reservoirs and is non-adiabatically driven. Concerning the…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 Franz J. Kaiser , Sigmund Kohler

Recent experiments have revealed that the temperature dependence of the conductance of quasi-ballistic quantum wires bears clear features of the Luttinger-liquid state. In this paper, the conductance of an N-channel quantum wire is…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Nancy Sandler , Dmitrii L. Maslov

We study non-equilibrium differential conductance and current fluctuations in a single quantum point contact. The two-terminal electrical transport properties -- differential conductance and shot noise -- are measured at 1.5 K as a function…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 N. Y. Kim , W. D. Oliver , Y. Yamamoto , Y. Hirayama

The natural excitations of an interacting one-dimensional system at low energy are hydrodynamic modes of Luttinger liquid, protected by the Lorentz invariance of the linear dispersion. We show that beyond low energies, where quadratic…