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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)
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author
; ; and
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
2016-04-01 16:45:32
date last changed
2022-01-28 21:55:54
@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}},
  doi          = {{10.1103/PhysRevB.75.035340}},
  volume       = {{75}},
  year         = {{2007}},
}