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shot noise in mesoscopic conductors - Low Temperature Laboratory

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96 Ya.M. Blanter, M. Bu( ttiker / Physics Reports 336 (2000) 1}166<br />

Fig. 28. Experimental results of Jehl et al. [181]. Solid and dotted l<strong>in</strong>es are theoretical curves correspond<strong>in</strong>g to the<br />

e!ective charges 2e and e, respectively. Copyright 1999 by the American Physical Society.<br />

<strong>in</strong>terface, than with the F" prediction for normal systems, though the agreement is far from<br />

perfect. The experimental results are shown <strong>in</strong> Fig. 28.<br />

A clear experimental demonstration of the <strong>shot</strong> <strong>noise</strong> doubl<strong>in</strong>g with clean NS <strong>in</strong>terfaces rema<strong>in</strong>s<br />

to be performed.<br />

4.2. Noise of Josephson junctions<br />

Josephson junctions are contacts which separate two superconduct<strong>in</strong>g bulk electrodes by an<br />

<strong>in</strong>sulat<strong>in</strong>g barrier. We brie#y describe here <strong>noise</strong> properties for the case when the transmission of<br />

this barrier is quite low; other, more <strong>in</strong>terest<strong>in</strong>g, cases are addressed <strong>in</strong> the next subsection.<br />

The transport properties of Josephson junctions can be summarized as follows. First, at zero<br />

voltage a Josephson current may #ow across the junction, I"I s<strong>in</strong> , where is the di!erence of<br />

the phases of the superconduct<strong>in</strong>g order parameter between the two electrodes. In addition, for<br />

"nite voltage tunnel<strong>in</strong>g of quasiparticles between the electrodes is possible. For zero temperature<br />

this quasiparticle current only exists when the voltage exceeds 2/e; for "nite temperature an<br />

(exponentially small) quasiparticle current #ows at any voltage.<br />

The Josephson current is a property of the ground state of the junction, and therefore it does not<br />

#uctuate. Hence, <strong>shot</strong> <strong>noise</strong> <strong>in</strong> Josephson junctions is due to the quasiparticle current, and<br />

basically co<strong>in</strong>cides with the correspond<strong>in</strong>g <strong>shot</strong> <strong>noise</strong> properties of normal tunnel barriers. For<br />

zero temperature, there is no <strong>shot</strong> <strong>noise</strong> for voltages below 2/e. Thermal and <strong>shot</strong> <strong>noise</strong> <strong>in</strong><br />

Josephson junctions are analyzed <strong>in</strong> detail by Rogov<strong>in</strong> and Scalap<strong>in</strong>o [26], and have been<br />

measured by Kanter and Vernon, Jr. [183,184].<br />

As stated by Likharev <strong>in</strong> his 1979 review [182], `the most important results of all the theories of #uctuations <strong>in</strong> the<br />

Josephson e!ect is that the only <strong>in</strong>tr<strong>in</strong>sic source of #uctuations is the normal current rather than the supercurrent of the<br />

junctiona.

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