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Based on the algebraic equation of motion (AEOM) method, we investigate the transport properties of a quantum dot. We obtain an analytical expression for the dot electron single-particle Green's function, and based on this expression, we…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Jiangqi Mao , Houmin Du , Yuliang Liu

By using the drone-fermion representation and the Schwinger-Keldysh approach, we calculate the current noise and the charge noise for a single-electron transistor in the non-equilibrium state in the presence of large quantum fluctuation of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yasuhiro Utsumi , Hiroshi Imamura , Masahiko Hayashi , Hiromichi Ebisawa

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 study the current noise through an unbiased quantum electron pump and its mesoscopic fluctuations for arbitrary temperatures and beyond the bilinear response. In the bilinear regime, we find the full distributions of the noise power and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 M. L. Polianski , M. G. Vavilov , P. W. Brouwer

The inelastic scattering of electrons which carry current through a single-molecule junction is modeled by a quantum dot, coupled to electron reservoirs via two leads. When the electron is on the dot, it is coupled to a single harmonic…

Mesoscale and Nanoscale Physics · Physics 2009-04-29 O. Entin-Wohlman , Y. Imry , A. Aharony

The fully self-consistent non-equilibrium Green functions (NEGFs) approach to the quantum transport is developed for the investigation of one-dimensional nano-scale devices. Numerical calculations performed for resonant tunneling diodes…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Van Nam Do , Philippe Dollfus , Van Lien Nguyen

The quantum modes of a nonlinear Klein-Gordon lattice have been computed numerically [L. Proville, Phys. Rev. B 71, 104306 (2005)]. The on-site nonlinearity has been found to lead to phonon bound states. In the present paper, we compute…

Materials Science · Physics 2008-11-04 Laurent Proville

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 report an experimental study on the shot noise as well as the dc transport properties of a quantum point contact (QPC) whose conductance anomaly can be tuned electrostatically by the gate electrodes. By controlling the single QPC so that…

Mesoscale and Nanoscale Physics · Physics 2009-06-08 Shuji Nakamura , Masayuki Hashisaka , Yoshiaki Yamauchi , Shinya Kasai , Teruo Ono , Kensuke Kobayashi

We have carried out numerical simulations of shot noise in 2D arrays of single-electron islands with random background charges. The results show that in contrast with the 1D arrays, at low currents the current noise is strongly colored, and…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Daniel M. Kaplan , Victor A. Sverdlov , Konstantin K. Likharev

We study a two-level quantum dot embedded in a phonon bath and irradiated by a time-dependent ac field and develope a method that allows us to extract simultaneously the full counting statistics of the electronic tunneling and relaxation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Rafael Sánchez , Gloria Platero , Tobias Brandes

We consider the transport spectroscopy of a quantum dot with an even number of electrons at finite bias voltage within the Coulomb blockade diamond. We calculate the tunneling current due to the elastic and inelastic co-tunneling processes…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. R. Wegewijs , Yu. V. Nazarov

The average current and the shot noise at correlated sequential tunneling via two localized sites are studied. At zero temperature the Fano factor averaged over the positions and energies of sites is shown to be 0.707. The noise dependence…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Yusuf A. Kinkhabwala , Alexander N. Korotkov

The Full Counting Statistics (FCS) is studied for a one-dimensional system of non-interacting fermions with and without disorder. For two unbiased $L$ site lattices connected at time $t=0$, the charge variance increases as the natural…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 G. C. Levine , M. J. Bantegui , J. A. Burg

Shot noise is a powerful tool to probe correlations and microscopic transport details that conductance measurements alone cannot reveal. Even in atomic-scale Au devices that are well described by Landauer-B{\"u}ttiker physics, complications…

Mesoscale and Nanoscale Physics · Physics 2017-04-07 Ruoyu Chen , Douglas Natelson

We investigate the properties of the finite frequency noise in a quantum point contact geometry for the fractional quantum Hall state at filling factor $\nu=2/5$. The results are obtained in the framework of the Wen's hierarchical model. We…

Strongly Correlated Electrons · Physics 2014-09-26 D. Ferraro , A. Braggio , N. Magnoli , M. Sassetti

Single-electron tunneling processes through a double quantum dot can induce a lasing state in an electromagnetic resonator which is coupled coherently to the dot system. Here we study the noise properties of the transport current in the…

Mesoscale and Nanoscale Physics · Physics 2013-08-20 Jinshuang Jin , Michael Marthaler , Pei-Qing Jin , Dmitry Golubev , Gerd Schön

Quantum noise in a model of singly resonant frequency doubling including phase mismatch and driving in the harmonic mode is analyzed. The general formulae about the fixed points and their stability as well as the squeezing spectra…

Quantum Physics · Physics 2007-05-23 C. Cabrillo , J. L. Roldan , P. Garcia-Fernandez

We have used the mechanical motion of a carbon nanotube (CNT) as a probe of the average charge on a quantum dot. Variations of the resonance frequency and the quality factor are determined by the change in average charge on the quantum dot…

An electron-phonon cavity consisting of a quantum dot embedded in a free-standing GaAs/AlGaAs membrane is characterized in Coulomb blockade measurements at low temperatures. We find a complete suppression of single electron tunneling around…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 E. M. Höhberger , R. H. Blick , T. Brandes , J. Kirschbaum , W. Wegscheider , M. Bichler , J. P. Kotthaus