Full counting statistics of transport through two-channel Coulomb blockade systems

Abstract

A mesoscopic Coulomb blockade system with two transport channels is studied in terms of full counting statistics. It is found that the shot noise and skewness are crucially affected by the quantum mechanical interference. In particular, the super-Poisson behavior can be induced as a consequence of constructive interference, and can be understood by the formation of effective fast-and-slow transport channels. Dephasing and finite temperature effects are carried out together with physical interpretations.

Interference effects in the counting statistics of electron transfers through a double quantum dot

“…The skewness is of particular interest since it was found to be the most sensitive of the three in systems with interference. 18 The Fano factors of models A and B diverge in Fig. 7 with increasing U, but their absolute difference remains small.…”

“…5 Spurred by this experimental progress, electron counting statistics ͑ECS͒ in nanosystems has attracted recent theoretical interest both in the noninteracting [6][7][8][9][10][11][12][13][14][15][16] and the Coulomb blockade regimes. 17,18 It has been shown that strong Coulomb interactions suppress large current fluctuations. 17 Double quantum dot ͑DQD͒ systems in parallel geometry [19][20][21][22] and single multilevel quantum dots 23,24 can display interference effects due to the multiple paths that electrons take to cross the junction when Coulomb interaction is present.…”

“…[25][26][27][28][29][30] A recent study of interference effects on the electron transfer statistics showed that they can induce super-Poisson shot noise in the Coulomb blockade regime and the high bias limit. 18 Using the terminology of Ref. 18, we denote the couplings between populations and coherences in the manybody eigenbasis as interferences.…”

“…18 Using the terminology of Ref. 18, we denote the couplings between populations and coherences in the manybody eigenbasis as interferences.…”

Non-Markovian dynamics and noise characteristics in continuous measurement of a solid-state charge qubit

“…Recently, it was demonstrated that the measurement properties are intimately associated with the full counting statistics of the detector [16,17]. Evaluation of the shot noise and higher order cumulants of quantum measurement have been worked out under Markovian approximation and in the wide-band limit (WBL) [18][19][20][21][22][23][24][25][26][27]. The Markovian approximation assumes that the correlation time in the reservoirs is much shorter than the typical * Electronic address: jyluo@zust.edu.cn response time in the reduced system, while the WBL neglects the energy-dependent densities of states in the electrodes.…”