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Noise and full counting statistics of incoherent multiple Andreev reflection

Samuelsson, Peter LU and Pilgram, S (2005) In Physical Review Letters 94.
Abstract
We present a general theory for the full counting statistics of multiple Andreev reflections in incoherent superconducting-normal-superconducting contacts. The theory, based on a stochastic path integral approach, is applied to a superconductor-double-barrier system. It is found that all cumulants of the current show a pronounced subharmonic gap structure at voltages V=2Δ/en. For low voltages V≪Δ/e, the counting statistics results from diffusion of multiple charges in energy space, giving the pth cumulant ⟨Qp⟩∝V2-p, diverging for p≥3. We show that this low-voltage result holds for a large class of incoherent superconducting-normal-superconducting contacts.
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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
94
article number
086806
publisher
American Physical Society
external identifiers
  • scopus:18144363602
  • pmid:15783919
ISSN
1079-7114
DOI
10.1103/PhysRevLett.94.086806
language
English
LU publication?
yes
id
5d2002d7-ff1b-4729-8fa9-695ccc5f8c02 (old id 721822)
date added to LUP
2016-04-01 11:41:02
date last changed
2022-04-12 23:40:54
@article{5d2002d7-ff1b-4729-8fa9-695ccc5f8c02,
  abstract     = {{We present a general theory for the full counting statistics of multiple Andreev reflections in incoherent superconducting-normal-superconducting contacts. The theory, based on a stochastic path integral approach, is applied to a superconductor-double-barrier system. It is found that all cumulants of the current show a pronounced subharmonic gap structure at voltages V=2Δ/en. For low voltages V≪Δ/e, the counting statistics results from diffusion of multiple charges in energy space, giving the pth cumulant ⟨Qp⟩∝V2-p, diverging for p≥3. We show that this low-voltage result holds for a large class of incoherent superconducting-normal-superconducting contacts.}},
  author       = {{Samuelsson, Peter and Pilgram, S}},
  issn         = {{1079-7114}},
  language     = {{eng}},
  publisher    = {{American Physical Society}},
  series       = {{Physical Review Letters}},
  title        = {{Noise and full counting statistics of incoherent multiple Andreev reflection}},
  url          = {{http://dx.doi.org/10.1103/PhysRevLett.94.086806}},
  doi          = {{10.1103/PhysRevLett.94.086806}},
  volume       = {{94}},
  year         = {{2005}},
}