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This study introduces a computationally efficient method to calculate full counting statistics (FCS) for quantum transport. The new approach reveals distinct signatures of one-dimensional leads in electronic transport noise and Fano factor.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Mesoscopic physics

Background:

  • Quantum transport characterization relies on fluctuations and higher moments beyond mean observables.
  • Calculating full counting statistics (FCS) in strongly correlated systems is theoretically challenging.
  • Existing accurate theoretical methods often require computationally intensive time propagation from an initial state.

Purpose of the Study:

  • To develop a computationally efficient method for calculating FCS at steady state.
  • To investigate the impact of lead dimensionality on electronic transport using FCS.
  • To demonstrate FCS as a sensitive probe of quantum dot environments.

Main Methods:

  • Proposed a novel approach to compute FCS directly at the steady state.
  • Utilized the propagator noncrossing approximation for reduced computational cost.
  • Applied the method to the nonequilibrium Anderson impurity model.

Main Results:

  • The developed method offers reduced computational cost compared to time propagation.
  • Distinct signatures in noise and Fano factor were observed for one-dimensional leads.
  • These signatures were absent for leads of other dimensionalities.

Conclusions:

  • The new steady-state FCS method is computationally advantageous.
  • FCS measurements can effectively distinguish the dimensionality of leads in quantum transport.
  • FCS provides a powerful tool for probing the environment of quantum dots.