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Energy and temperature fluctuations in the single electron box

van den Berg, Tineke LU ; Brange, Fredrik LU and Samuelsson, Peter LU (2015) In New Journal of Physics 17.
Abstract
In mesoscopic and nanoscale systems at low temperatures, charge carriers are typically not in thermal equilibrium with the surrounding lattice. The resulting, non-equilibrium dynamics of electrons has only begun to be explored. Experimentally the time-dependence of the electron temperature (deviating from the lattice temperature) has been investigated in small metallic islands. Motivated by these experiments, we investigate theoretically the electronic energy and temperature fluctuations in a metallic island in the Coulomb blockade regime, tunnel coupled to an electronic reservoir, i.e. a single electron box. We show that electronic quantum tunnelling between the island and the reservoir, in the absence of any net charge or energy... (More)
In mesoscopic and nanoscale systems at low temperatures, charge carriers are typically not in thermal equilibrium with the surrounding lattice. The resulting, non-equilibrium dynamics of electrons has only begun to be explored. Experimentally the time-dependence of the electron temperature (deviating from the lattice temperature) has been investigated in small metallic islands. Motivated by these experiments, we investigate theoretically the electronic energy and temperature fluctuations in a metallic island in the Coulomb blockade regime, tunnel coupled to an electronic reservoir, i.e. a single electron box. We show that electronic quantum tunnelling between the island and the reservoir, in the absence of any net charge or energy transport, induces fluctuations of the island electron temperature. The full distribution of the energy transfer as well as the island temperature is derived within the framework of full counting statistics. In particular, the low-frequency temperature fluctuations are analysed, fully accounting for charging effects and non-zero reservoir temperature. The experimental requirements for measuring the predicted temperature fluctuations are discussed. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
New Journal of Physics
volume
17
article number
075012
publisher
IOP Publishing
external identifiers
  • wos:000359134100001
  • scopus:84939149010
ISSN
1367-2630
DOI
10.1088/1367-2630/17/7/075012
language
English
LU publication?
yes
id
ac52e070-46a8-4d1f-bbab-4ccc393ee3e6 (old id 7867875)
date added to LUP
2016-04-01 12:59:38
date last changed
2023-11-12 09:38:20
@article{ac52e070-46a8-4d1f-bbab-4ccc393ee3e6,
  abstract     = {{In mesoscopic and nanoscale systems at low temperatures, charge carriers are typically not in thermal equilibrium with the surrounding lattice. The resulting, non-equilibrium dynamics of electrons has only begun to be explored. Experimentally the time-dependence of the electron temperature (deviating from the lattice temperature) has been investigated in small metallic islands. Motivated by these experiments, we investigate theoretically the electronic energy and temperature fluctuations in a metallic island in the Coulomb blockade regime, tunnel coupled to an electronic reservoir, i.e. a single electron box. We show that electronic quantum tunnelling between the island and the reservoir, in the absence of any net charge or energy transport, induces fluctuations of the island electron temperature. The full distribution of the energy transfer as well as the island temperature is derived within the framework of full counting statistics. In particular, the low-frequency temperature fluctuations are analysed, fully accounting for charging effects and non-zero reservoir temperature. The experimental requirements for measuring the predicted temperature fluctuations are discussed.}},
  author       = {{van den Berg, Tineke and Brange, Fredrik and Samuelsson, Peter}},
  issn         = {{1367-2630}},
  language     = {{eng}},
  publisher    = {{IOP Publishing}},
  series       = {{New Journal of Physics}},
  title        = {{Energy and temperature fluctuations in the single electron box}},
  url          = {{http://dx.doi.org/10.1088/1367-2630/17/7/075012}},
  doi          = {{10.1088/1367-2630/17/7/075012}},
  volume       = {{17}},
  year         = {{2015}},
}