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  • We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix of the system resolved with respect to the number of transported charges enables the evaluation of the noise and higher-order cumulants of the full counting statistics. We apply this formalism to an analytically solvable model of a single-level quantum dot coupled to highly biased leads with Lorentzian energy-dependent tunnel coupling and demonstrate that, although reproducing exactly the mean current, the resonant tunneling approximation is not exact for the noise and higher-order cumulants. Even if it may fail in the regime of strongly non-Markovian dynamics, this approach generically improves results of lower-order and/or Markovian approaches.
  • We extend the second-order von Neumann approach within the generalized master equation formalism for quantum electronic transport to include the counting field. The resulting non-Markovian evolution equation for the reduced density matrix of the system resolved with respect to the number of transported charges enables the evaluation of the noise and higher-order cumulants of the full counting statistics. We apply this formalism to an analytically solvable model of a single-level quantum dot coupled to highly biased leads with Lorentzian energy-dependent tunnel coupling and demonstrate that, although reproducing exactly the mean current, the resonant tunneling approximation is not exact for the noise and higher-order cumulants. Even if it may fail in the regime of strongly non-Markovian dynamics, this approach generically improves results of lower-order and/or Markovian approaches. (en)
Title
  • Noise calculations within the second-order von Neumann approach
  • Noise calculations within the second-order von Neumann approach (en)
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  • Noise calculations within the second-order von Neumann approach
  • Noise calculations within the second-order von Neumann approach (en)
skos:notation
  • RIV/00216208:11320/11:10106059!RIV12-GA0-11320___
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  • P(GCP204/11/J042), Z(MSM0021620834)
http://linked.open...iv/cisloPeriodika
  • 23
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  • 216132
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  • RIV/00216208:11320/11:10106059
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  • approach; Neumann; von; second-order; within; calculations; Noise (en)
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  • US - Spojené státy americké
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  • [FA8BE80A5160]
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  • Physical Review B - Condensed Matter and Materials Physics
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  • 84
http://linked.open...iv/tvurceVysledku
  • Novotný, Tomáš
  • Brandes, Tobias
  • Emary, Clive
  • Zedler, Philipp
http://linked.open...ain/vavai/riv/wos
  • 000297933500001
http://linked.open...n/vavai/riv/zamer
issn
  • 1098-0121
number of pages
http://bibframe.org/vocab/doi
  • 10.1103/PhysRevB.84.233303
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  • 11320
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