Quantum interference correction to the shot-noise power in nonideal chaotic cavities

Abstract

We present analytical results for the leading ͑weak-localization͒ quantum interference correction to the shot-noise power in a ballistic chaotic cavity coupled nonideally to two electron reservoirs via leads with an arbitrary number of open scattering channels. The calculations were performed using two independent methods: S-matrix diagrammatic perturbation theory and quantum circuit theory. We obtained an unexpected amplification-suppression transition as a function of both the number of open channels and the barriers' transparencies. The effect results from a subtle combination of temporal and spatial quantum coherence in the electron propagation through the system.

Spin accumulation encoded in electronic noise for mesoscopic billiards with finite tunneling rates

“…29, while the diagrams for obtaining the average of four matrices S can be found in Ref. 31. We get, for a ballistic chaotic quantum dot connected to multiple terminals, the following known general result:…”

Quantum Interference Effects for the Electronic Fluctuations in Quantum Dots

“…Below, we will study the quantum noise in thermal crossover and hence the asymptotic limit of the Johnson-Nyquist noise. We perform a diagrammatic perturbative expansion of the ensemble averaged conductance, g = Tr tt † , in inverse powers of N and M. The first term contributing to g is obtained by adding ladder-type diagrams [21][22][23]. To perform the trace over the channel indices, we use the following identity…”

Semiclassical treatment of quantum chaotic transport with a tunnel barrier

“…In the random matrix setting this is implemented by introducing the so-called Poisson kernel to model the statistical distribution of the S matrix [32,33]. In the perturbative M 1 setting, average and variance of the conductance were obtained in [34], while the average shot-noise was considered in [36] (see also [37]). Exact formulas for the eigenvalue distribution of T , valid for arbitrary M , were derived [38,39] (see also [40]) in terms of hypergeometric functions of matrix argument.…”