Electronic transport in three-terminal chaotic systems with a tunnel barrier

Abstract

We consider the problem of electronic quantum transport through ballistic mesoscopic systems with chaotic dynamics, connected to a three-terminal architecture in which one of the terminals has a tunnel barrier. Using a semiclassical approximation based on matrix integrals, we calculate several transport statistics, such as average and variance of conductance, average shot-noise power, among others, that give access to the extreme quantum regime (small channel numbers in the terminal) for broken and intact time-reversal symmetry, which the traditional random matrix approach does not access. As an application, we treat the dephasing regime.

24 pages, 5 figures. Accepted by Journal of Physics A

References in corpus (13)

• Universal oscillations in counting statistics
• Semiclassical Theory of Chaotic Conductors
• Counting statistics and super-Poissonian noise in a quantum dot
• Semiclassical Approach to Chaotic Quantum Transport
• Systematic approach to statistics of conductance and shot-noise in chaotic cavities
• Nonlinear statistics of quantum transport in chaotic cavities
• Suppression of weak-localization (and enhancement of noise) by tunnelling in semiclassical chaotic transport
• Random matrix theory of quantum transport in chaotic cavities with non-ideal leads
• Multifractal Magnetoconductance Fluctuations in Mesoscopic Systems
• Conductance Distributions in Chaotic Mesoscopic Cavities
• Energy-dependent correlations in the $S$-matrix of chaotic systems
• Effect of proximity-induced spin-orbit coupling in graphene mesoscopic billiards
• Microwave graphs analogs for the voltage drop in three-terminal devices with orthogonal, unitary and symplectic symmetry