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Auto- versus Cross-Correlation Noise in Periodically Driven Quantum Coherent Conductors.

Michael Moskalets1

  • 1Department of Metal and Semiconductor Physics, NTU "Kharkiv Polytechnic Institute", 61002 Kharkiv, Ukraine.

Entropy (Basel, Switzerland)
|April 3, 2021
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Summary

This study reveals two distinct types of shot noise in conductors by analyzing carrier wave functions. Understanding these noise contributions clarifies quantum transport and predicts limitations in creating exotic particles like Majorana fermions.

Keywords:
quantum transportshot noisesingle-electron wave packet

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Area of Science:

  • Quantum transport phenomena
  • Mesoscopic physics
  • Solid-state physics

Background:

  • Understanding electrical current fluctuations is crucial in quantum electronics.
  • Shot noise provides insights into the quantum nature of charge carriers.
  • Existing models often lack a clear distinction between different noise contributions.

Purpose of the Study:

  • To develop a novel approach for analyzing shot noise in multi-probe conductors.
  • To differentiate between two distinct physical contributions to shot noise.
  • To investigate the implications of this analysis for quantum transport and particle creation.

Main Methods:

  • Expressing currents and fluctuations using carrier wave functions in the Fermi sea.
  • Analyzing shot noise in the quantum coherent and weak back-scattering regimes.
  • Decomposing shot noise into autocorrelation and cross-correlation components.

Main Results:

  • Identified two distinct contributions to shot noise: autocorrelation and cross-correlation noise.
  • Cross-correlation noise depends on wave packet duration in the quantum coherent regime.
  • Autocorrelation noise depends on wave packet duration and coherence (energy spread).

Conclusions:

  • The developed approach offers new physical insights into electric currents and shot noise.
  • Shot noise analysis can distinguish between wave packet duration and coherence effects.
  • Predicts that clean creation of individual Majorana fermions is not possible without electron-hole pairs.