Local temperature of out-of-equilibrium quantum electron systems

J. Meair, J. P. Bergfield, Charles A Stafford, Ph Jacquod

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We show how the local temperature of out-of-equilibrium, quantum electron systems can be consistently defined with the help of an external voltage and temperature probe. We determine sufficient conditions under which the temperature measured by the probe (i) is independent of details of the system-probe coupling, (ii) is equal to the temperature obtained from an independent current-noise measurement, (iii) satisfies the transitivity condition expressed by the zeroth law of thermodynamics, and (iv) is consistent with Carnot's theorem. This local temperature therefore characterizes the system in the common sense of equilibrium thermodynamics, but remains well defined even in out-of-equilibrium situations with no local equilibrium.

Original languageEnglish (US)
Article number035407
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume90
Issue number3
DOIs
StatePublished - Jul 9 2014

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Electrons
probes
electrons
temperature probes
Temperature
temperature
Thermodynamics
thermodynamic equilibrium
noise measurement
theorems
thermodynamics
electric potential
Electric potential

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials

Cite this

Local temperature of out-of-equilibrium quantum electron systems. / Meair, J.; Bergfield, J. P.; Stafford, Charles A; Jacquod, Ph.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 90, No. 3, 035407, 09.07.2014.

Research output: Contribution to journalArticle

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