On Thermometer Operation of Ultrasmall Tunnel Junctions

Details On Thermometer Operation of Ultrasmall Tunnel Junctions On Thermometer Operation of Ultrasmall Tunnel Junctions

1994-10-13

arxiv.org/abs/cond-mat/9410044v1

phys.stat.sol. b 188(2), 667-77 (1995)

Physics

Condensed Matter

11 pages + 8 figures, REVTeX 3.0, JE-FKS-94-5 8 pages of Postscript figures appended, The numbering of the figures is 1, 2, 3,

Scientific paper

The temperature dependence of the I-V characteristics of many single-electron tunneling devices enable thermometer operation of these systems. We investigate two normal conducting kinds of them, {\sl (a)} a single junction in a high-impedance environment, and {\sl (b)} a double junction. The characteristics of both devices show a crossover from Coulomb blockade at low temperatures to ohmic behavior at high temperatures. The related differential conductivity dip allows the determination of the junctions temperature. Both configurations {\sl (a)} and {\sl (b)} are expected to work at least within the range $0.5\le\beta E_{\rm C}\le 10$, where $E_{\rm C}$ is the Coulomb energy of the system under investigation. We present an analytical solution for both low- and high-temperature case of {\sl (a)} and {\sl (b)} as well as numerical results and their fit, including the effect of co-tunneling in case of a double junction.

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