Abstract
We apply the method of multivariate hypergeometric generating function to study cumulants of the charge counting statistics (CCS) of a ballistic chaotic cavity coupled ideally to two electron reservoirs via perfect conducting leads with an arbitrary number of scattering channels. The underlying chaotic dynamics causes each cumulant of CCS, denoted charge transfer cumulant (CTC), to behave like a random variable, which we describe via exact calculations of its statistical moments and cumulants. Besides reproducing several known results of the literature for the first few statistical cumulants of conductance and shot-noise power, which are the first and second CTC respectively, we obtain new exact results for the first four statistical cumulants of the third and fourth CTC. All analytical results are supported by numerical simulations of the circular ensembles.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of Physics A: Mathematical and Theoretical
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
