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Full counting statistics for the Kondo dot.

A Komnik1, A O Gogolin

  • 1Physikalisches Institut, Albert-Ludwigs-Universität, D-79104 Freiburg, Germany.

Physical Review Letters
|August 11, 2005
PubMed
Summary
This summary is machine-generated.

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We calculated charge current cumulants for two Majorana resonant level models. Low-temperature transport in the Kondo model involves electron and electron-pair tunneling, with simplified statistics for the g=1/2 Luttinger liquid model.

Area of Science:

  • Condensed matter physics
  • Quantum transport phenomena

Background:

  • Understanding charge current distribution cumulants is crucial for characterizing quantum transport.
  • Majorana resonant level models offer insights into exotic electronic states.

Purpose of the Study:

  • To calculate the generating function for charge current cumulants in two generalized Majorana resonant level models.
  • To analyze low-temperature nonequilibrium transport in the Kondo dot and Luttinger liquid models.

Main Methods:

  • Calculation of the generating function for cumulants.
  • Analysis of the third cumulant (skewness) under varying conditions.
  • Application of the Levitov-Lesovik formula for the g=1/2 Luttinger liquid model.

Main Results:

Related Experiment Videos

  • Identified distinct transport mechanisms in the Kondo model: physical electron tunneling and coherent electron-pair transmission.
  • Explicitly calculated the third cumulant (skewness) for various couplings, temperatures, and magnetic fields.
  • Found that the g=1/2 Luttinger liquid model exhibits simplified charge statistics.

Conclusions:

  • The study provides a detailed characterization of charge current cumulants in specific Majorana resonant level systems.
  • The findings offer a deeper understanding of nonequilibrium quantum transport in condensed matter systems.