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The charge fluctuations of two nearby mesoscopic conductors coupled only via the long range Coulomb force are discussed and used to find the dephasing rate which one conductor exerts on the other. The discussion is based on a formulation of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Buttiker

The dephasing time in coupled mesoscopic conductors is caused by the fluctuations of the dipolar charge permitted by the long range Coulomb interaction. We relate the phase breaking time to elementary transport coefficients which describe…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Markus Buttiker , Andrew M. Martin

A brief overview is presented of recent work which investigates the time-dependent relaxation of charge and its spontaneous fluctuations on mesoscopic conductors in the proximity of gates. The leading terms of the low frequency conductance…

Mesoscale and Nanoscale Physics · Physics 2021-02-24 M. Buttiker

We evaluate the RC-time of edge states capacitively coupled to a gate located away from a QPC which allows for partial transmission of an edge channel. At long times or low frequencies the RC-time governs the relaxation of charge and…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Markus Buttiker

In the presence of shot noise the charge on a mesoscopic conductor fluctuates. We are interested in the charge fluctuations which arise if the conductor is in the proximity of a gate to which it is coupled by long range Coulomb forces only.…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Markus Buttiker

We study the Coulomb blockade in a chaotic quantum dot connected to a lead by a single channel at nearly perfect transmission. We take into account quantum fluctuations of the dot charge and a finite level spacing for electron states within…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 I. L. Aleiner , L. I. Glazman

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

Condensed Matter · Physics 2009-10-22 Herbert Schoeller , Gerd Schoen

We present a discussion of the charge response and the charge fluctuations of mesoscopic chaotic cavities in terms of a generalized Wigner-Smith matrix. The Wigner-Smith matrix is well known in investigations of time-delay of quantum…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 M. Buttiker , M. L. Polianski

We present an analysis of the effect of dephasing on the single channel charge relaxation resistance of a mesoscopic capacitor in the linear low frequency regime. The capacitor consists of a cavity which is via a quantum point contact…

Mesoscale and Nanoscale Physics · Physics 2008-02-23 Simon E. Nigg , Markus Buttiker

In quantum computation, quantum coherence must be maintained during gate operation. However, in physical implementations, various couplings with the environment are unavoidable and can lead to a dephasing of a quantum bit(qubit). The…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Toshifumi Itakura , Yasuhiro Tokura

We study mesoscopic fluctuations of the differential capacitance of a dot connected to a lead by a single-mode quantum channel with adjustable conductance G. We show that the amplitude of the fluctuations reaches maximum at a partially…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. Kaminski , I. L. Aleiner , L. I. Glazman

This is a review of the phase coherent transmission through interacting mesoscopic conductors. As a paradigm we study the transmission amplitude and the dephasing rate for electron transport through a quantum dot in the Coulomb blockade…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 G. Hackenbroich

Exchange coupled {\it spin} qubits in semiconductor nanostructures are shown to be vulnerable to dephasing caused by {\it charge noise} invariably present in the semiconductor environment. This decoherence of exchange gate by environmental…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Xuedong Hu , S. Das Sarma

Coulomb screening, together with degeneracy, is characteristic of the metallic electron gas. While there is little trace of its effects in transport and noise in the bulk, at mesoscopic scales the electronic fluctuations start to show…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Frederick Green , Mukunda P Das

We discuss decoherence due to electromagnetic fluctuations in charge qubits formed by two lateral quantum dots. We use an effective circuit model to evaluate correlations of voltage fluctuations in the qubit setup. These correlations allows…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Diego C. B. Valente , Eduardo R. Mucciolo , F. K. Wilhelm

We introduce a hierarchy of density of states to characterize the charge distribution in a mesoscopic conductor. At the bottom of this hierarchy are the partial density of states which represent the contribution to the local density of…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Markus Buttiker

We develop a novel eikonal expansion for the Cooperon to study the effect of space- and time-dependent electric fields on the dephasing rate of disordered conductors. For randomly fluctuating fields with arbitrary covariance we derive a…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Axel Voelker , Peter Kopietz

This talk is assumed to exhibit an overview of the quantum theory for mesoscopic electric circuits and some of its further developments. In the theory the importance of the discreteness of electronic charge in mesoscopic electric circuit is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 You-Quan Li , Bin Chen

We consider the AC transport in a quantum RC circuit made of a coherent chaotic cavity with a top gate. Within a random matrix approach, we study the joint distribution for the mesoscopic capacitance $C_\mu=(1/C+1/C_q)^{-1}$ and the charge…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Aurélien Grabsch , Christophe Texier

We consider charge relaxation in the mesoscopic equivalent of an RC circuit. For a single-channel, spin-polarized contact, self-consistent scattering theory predicts a universal charge relaxation resistance equal to half a resistance…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Simon E. Nigg , Rosa Lopez , Markus Buttiker
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