Noise calculations within the second-order von Neumann approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F11%3A10106059" target="_blank" >RIV/00216208:11320/11:10106059 - isvavai.cz</a>
Result on the web
<a href="http://link.aps.org/doi/10.1103/PhysRevB.84.233303" target="_blank" >http://link.aps.org/doi/10.1103/PhysRevB.84.233303</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevB.84.233303" target="_blank" >10.1103/PhysRevB.84.233303</a>
Alternative languages
Result language
angličtina
Original language name
Noise calculations within the second-order von Neumann approach
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BM - Solid-state physics and magnetism
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GCP204%2F11%2FJ042" target="_blank" >GCP204/11/J042: Supercurrent and ac-Josephson effect in unconventional nanoscopic junctions</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2011
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review B - Condensed Matter and Materials Physics
ISSN
1098-0121
e-ISSN
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Volume of the periodical
84
Issue of the periodical within the volume
23
Country of publishing house
US - UNITED STATES
Number of pages
4
Pages from-to
1-4
UT code for WoS article
000297933500001
EID of the result in the Scopus database
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