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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
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review Letters
volume
94
publisher
American Physical Society
external identifiers
  • scopus:18144363602
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
2009-08-04 09:56:45
date last changed
2017-03-19 03:24:24
@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.},
  articleno    = {086806},
  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},
  volume       = {94},
  year         = {2005},
}