Current noise spectrum in a solvable model of tunneling Fermi-edge singularity


We consider tunneling of spinless electrons from a single-channel emitter into an empty collector through an interacting resonant level of the quantum dot (QD). When all Coulomb screening of sudden charge variations of the dot during the tunneling is realized by the emitter channel, the system is mapped onto an exactly solvable model of a dissipative qubit. The qubit density matrix evolution is described with a generalized Bloch equation which permits us to count the tunneling electrons and find the charge transfer statistics. The two generating functions of the counting statistics of the charge transferred during the QD evolutions from its stationary and empty state have been expressed through each other. It is used to calculate the spectrum of the steady current noise and to demonstrate the occurrence of the bifurcation of its single zero-frequency minimum into two finite-frequency dips due to the qubit coherent dynamics.

Publication DOI:
Divisions: College of Engineering & Physical Sciences
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1286-4854
Last Modified: 08 Jan 2024 09:10
Date Deposited: 24 Jun 2019 07:55
Full Text Link: https://arxiv.o ... /1805.11969.pdf
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2019-05-06
Accepted Date: 2019-03-28
Authors: Ponomarenko, V. V. (ORCID Profile 0000-0001-6889-8046)
Larkin, I. A.



Version: Draft Version

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