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Josephson effect : ウィキペディア英語版
Josephson effect

The Josephson effect is the phenomenon of supercurrent—i.e. a current that flows indefinitely long without any voltage applied—across a device known as a Josephson junction (JJ), which consists of two superconductors coupled by a weak link. The weak link can consist of a thin insulating barrier (known as a superconductor–insulator–superconductor junction, or S-I-S), a short section of non-superconducting metal (S-N-S), or a physical constriction that weakens the superconductivity at the point of contact (S-s-S).
The Josephson effect is an example of a macroscopic quantum phenomenon. It is named after the British physicist Brian David Josephson, who predicted in 1962 the mathematical relationships for the current and voltage across the weak link.〔Josephson, B. D., "Possible new effects in superconductive tunnelling," ''Physics Letters'' 1, 251 (1962) 〕 The DC Josephson effect had been seen in experiments prior to 1962, but had been attributed to "super-shorts" or breaches in the insulating barrier leading to the direct conduction of electrons between the superconductors. The first paper to claim the discovery of Josephson's effect, and to make the requisite experimental checks, was that of Philip Anderson and John Rowell. These authors were awarded patents on the effects that were never enforced, but never challenged.
Before Josephson's prediction, it was only known that normal (i.e. non-superconducting) electrons can flow through an insulating barrier, by means of quantum tunneling. Josephson was the first to predict the tunneling of superconducting Cooper pairs. For this work, Josephson received the Nobel prize in physics in 1973.〔(The Nobel prize in physics 1973 ), accessed 8-18-11〕 Josephson junctions have important applications in quantum-mechanical circuits, such as SQUIDs, superconducting qubits, and RSFQ digital electronics. The NIST standard for one volt is achieved by an array of 19,000 Josephson junctions in series.〔Steven Strogatz, ''Sync: The Emerging Science of Spontaneous Order'', Hyperion, 2003. 〕
A Dayem bridge is a thin-film variant of the Josephson junction in which the weak link consists of a superconducting wire with dimensions on the scale of a few micrometres or less.〔Anderson, P. W., and Dayem, A. H., "Radio-frequency effects in superconducting thin film bridges," ''Physical Review Letters'' 13, 195 (1964), 〕
==The effect==

The basic equations governing the dynamics of the Josephson effect are
:U(t) = \frac \frac (superconducting phase evolution equation)
:\frac is the magnetic flux quantum, the inverse of which is the Josephson constant.
The three main effects predicted by Josephson follow from these relations:
;The DC Josephson effect: The DC Josephson effect is a direct current crossing the insulator in the absence of any external electromagnetic field, owing to tunneling. This DC Josephson current is proportional to the sine of the phase difference across the insulator, and may take values between \scriptstyle -I_c and \scriptstyle I_c.
;The AC Josephson effect: With a fixed voltage \scriptstyle U_ across the junctions, the phase will vary linearly with time and the current will be an AC current with amplitude \scriptstyle I_c and frequency \frac U_. The complete expression for the current drive I_\text becomes I_\text \;=\; C_J \frac \,+\, I_J \sin \phi \,+\, \frac. This means a Josephson junction can act as a perfect voltage-to-frequency converter.
;The inverse AC Josephson effect: If the phase takes the form \scriptstyle \phi (t) \;=\; \phi_0 \,+\, n \omega t \,+\, a \sin( \omega t), the voltage and current will be
:U(t) = \frac \omega ( n + a \cos( \omega t) ), \ \ \ I(t) = I_c \sum_^\infty J_m (a) \sin (\phi_0 + (n + m) \omega t).
The DC components will then be
:U_ = n \frac \omega, \ \ \ I(t) = I_c J_ (a) \sin \phi_0.
Hence, for distinct AC voltages, the junction may carry a DC current and the junction acts like a perfect frequency-to-voltage converter.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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