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We consider finite frequency noise in a mesoscopic system with arbitrary interactions, connected to many terminals kept at finite electrochemical potentials. We show that the excess noise, obtained by subtracting the noise at zero voltage…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Ines Safi

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 study the finite frequency (F.F.) noise properties of edge states in the Laughlin state. We investigate the model of a resonant detector coupled to a quantum point contact in the weak-backscattering limit. In particular we discuss the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 M. Carrega , D. Ferraro , A. Braggio , M. Sassetti

We derive the symmetrized current-noise spectrum of a quantum dot, which is weakly tunnel-coupled to an electron reservoir and driven by a slow time-dependent gate voltage. This setup can be operated as an on-demand emitter of single…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Niklas Dittmann , Janine Splettstoesser

We analyze the current noise, generated at a quantum point contact in fractional quantum Hall edge state devices, using the chiral Luttinger liquid model with an impurity and the associated exact field theoretic solution. We demonstrate…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Trauzettel , P. Roche , D. C. Glattli , H. Saleur

We explore the low-frequency noise of interacting electrons in a one-dimensional structure (quantum wire or interaction-coupled edge states) with counterpropagating modes, assuming a single channel in each direction. The system is driven…

Strongly Correlated Electrons · Physics 2015-10-20 J. K. Kühne , I. V. Protopopov , Y. Oreg , A. D. Mirlin

We present a quantum calculation based on scattering theory of the frequency dependent noise of current in an interacting chaotic cavity. We include interactions of the electron system via long range Coulomb forces between the conductor and…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 F. W. J. Hekking , J. P. Pekola

We study transport between Quantum Hall (QH) edge states at filling factor $\nu = 1$ in the presence of electron-acoustic-phonon coupling. Performing a Bogoliubov-Valatin (BV) trasformation the low-energy spectrum of interacting…

Mesoscale and Nanoscale Physics · Physics 2019-10-22 Edvin G. Idrisov

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

Using the 'drift-diffusion-Langevin' equation we show that, at least in one geometry, finite-frequency shot noise is of the order of the 'full' shot noise $2eI$ provided the sample is either short or long enough, $L > L_0(\omega)$. Here…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Naveh

Photons are emitted or absorbed by a nano-circuit under both equilibrium and non-equilibrium situations. Here, we focus on the non-equilibrium situation arising due to a temperature difference between the leads of a quantum point contact,…

Mesoscale and Nanoscale Physics · Physics 2023-07-07 K. Iyer , J. Rech , T. Jonckheere , L. Raymond , B. Grémaud , T. Martin

A point contact in a Luttinger liquid couples the left- and right-moving channels, producing shot noise. We calculate exactly the DC shot noise at zero temperature in the out-of-equilibrium steady state where current is flowing.…

Condensed Matter · Physics 2009-10-28 P. Fendley , A. W. W. Ludwig , H. Saleur

We present the most complete scattering theory for noise in noninteracting case. The exact formula for spectral density of current fluctuations at finite frequency is presented in terms of scattering matrix for a coherent quantum conductor.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. B. Lesovik

The inhomogeneous Tomonaga Luttinger liquid model describing an interacting quantum wire adiabatically coupled to non-interacting leads is analyzed in the presence of a weak impurity within the wire. Due to strong electronic correlations in…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Bjoern Trauzettel , Ines Safi , Hermann Grabert

We analyze the uniform conductivity of a one dimensional degenerate fermion system placed in a random disorder potential so smooth that backward scattering can be neglected. We use the nonlinear Luttinger liquid model to consider effects of…

Strongly Correlated Electrons · Physics 2025-07-31 A. A. Dontsov , D. N. Aristov , A. P. Dmitriev

Employing a real time effective action formalism we analyze electron transport and current fluctuations in comparatively short coherent conductors in the presence of electron-electron interactions. We demonstrate that, while Coulomb…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Dmitri S. Golubev , Artem V. Galaktionov , Andrei D. Zaikin

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the…

Materials Science · Physics 2007-05-23 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

We present a method to determine the shot noise in quantum systems from knowledge of their time evolution - the latter being obtained using numerical simulation techniques. While our ultimate goal is the study of interacting systems, the…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 A. Branschädel , E. Boulat , H. Saleur , P. Schmitteckert

The sensitivity of aLIGO detectors is adversely affected by the presence of noise caused by light scattering. Low frequency seismic disturbances can create higher frequency scattering noise adversely impacting the frequency band in which we…

Instrumentation and Methods for Astrophysics · Physics 2023-11-13 Siddharth Soni , Jane Glanzer , Anamaria Effler , Valera Frolov , Gabriela González , Arnaud Pele , Robert Schofield

The shot noise of a one-dimensional wire interrupted by two barriers shows interesting features related to the interplay between Coulomb blockade effects, Luttinger correlations and discrete excitations. At small bias the Fano factor…

Strongly Correlated Electrons · Physics 2007-05-23 A. Braggio , R. Fazio , M. Sassetti
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