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Voltage and dephasing probes in mesoscopic conductors: A study of full-counting statistics

Foerster, Heidi; Samuelsson, Peter LU ; Pilgram, Sebastian and Buettiker, Markus (2007) In Physical Review B (Condensed Matter and Materials Physics) 75(3).
Abstract
Voltage and dephasing probes introduce incoherent inelastic and incoherent quasielastic scattering into a coherent mesoscopic conductor. We discuss in detail the concepts of voltage and dephasing probes and develop a full-counting statistics approach to investigate their effect on the transport statistics. The formalism is applied to several experimentally relevant examples. A comparison of different probe models and with procedures like phase averaging over an appropriate phase distribution shows that there is a perfect equivalence between the models for the case of one single-channel probe. Interestingly, the appropriate phase-distribution function is found to be uniform. A uniform distribution is provided by a chaotic cavity with a long... (More)
Voltage and dephasing probes introduce incoherent inelastic and incoherent quasielastic scattering into a coherent mesoscopic conductor. We discuss in detail the concepts of voltage and dephasing probes and develop a full-counting statistics approach to investigate their effect on the transport statistics. The formalism is applied to several experimentally relevant examples. A comparison of different probe models and with procedures like phase averaging over an appropriate phase distribution shows that there is a perfect equivalence between the models for the case of one single-channel probe. Interestingly, the appropriate phase-distribution function is found to be uniform. A uniform distribution is provided by a chaotic cavity with a long dwell time. The dwell time of a chaotic cavity plays a role similar to the charge response time of a voltage or dephasing probe. For multichannel or multiple probes the transport statistics of voltage and dephasing probes differs and the equivalence with phase averaging is similarly lost. (Less)
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B (Condensed Matter and Materials Physics)
volume
75
issue
3
publisher
American Physical Society
external identifiers
  • wos:000243895400122
  • scopus:33846605500
ISSN
1098-0121
DOI
10.1103/PhysRevB.75.035340
language
English
LU publication?
yes
id
051e9f8d-3828-4ffb-bc87-c398a3620625 (old id 674960)
date added to LUP
2007-12-10 13:25:57
date last changed
2017-09-10 04:37:19
@article{051e9f8d-3828-4ffb-bc87-c398a3620625,
  abstract     = {Voltage and dephasing probes introduce incoherent inelastic and incoherent quasielastic scattering into a coherent mesoscopic conductor. We discuss in detail the concepts of voltage and dephasing probes and develop a full-counting statistics approach to investigate their effect on the transport statistics. The formalism is applied to several experimentally relevant examples. A comparison of different probe models and with procedures like phase averaging over an appropriate phase distribution shows that there is a perfect equivalence between the models for the case of one single-channel probe. Interestingly, the appropriate phase-distribution function is found to be uniform. A uniform distribution is provided by a chaotic cavity with a long dwell time. The dwell time of a chaotic cavity plays a role similar to the charge response time of a voltage or dephasing probe. For multichannel or multiple probes the transport statistics of voltage and dephasing probes differs and the equivalence with phase averaging is similarly lost.},
  author       = {Foerster, Heidi and Samuelsson, Peter and Pilgram, Sebastian and Buettiker, Markus},
  issn         = {1098-0121},
  language     = {eng},
  number       = {3},
  publisher    = {American Physical Society},
  series       = {Physical Review B (Condensed Matter and Materials Physics)},
  title        = {Voltage and dephasing probes in mesoscopic conductors: A study of full-counting statistics},
  url          = {http://dx.doi.org/10.1103/PhysRevB.75.035340},
  volume       = {75},
  year         = {2007},
}