Page 410 - Electrical Properties of Materials
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392                           Superconductivity

                                     very, very small. Obviously, what we need is not a single Josephson junction
                                     but an array of Josephson junctions. That may indeed be the solution, but
                                     then one has the problem of how to construct the array and, when we get
                                     it, how to synchronize the oscillations from the many elements. However,
                                     as it happens, we don’t need to worry about the way we construct the array.
                                     Nature has very kindly provided not only the elements but the whole array.
                                     Intrinsic Josephson junctions form naturally between the superconducting
                                     CuO 2 layers in cuprates such as BSCCO (to be discussed in Section 14.9),
                                     with bismuth oxide and strontium oxide layers acting as the Josephson-type
                                     tunnel barriers. A device of 0.1 mm thickness contains about 70 000 such
                                     junctions. Put them in a cavity and hope for the best. Experiments so far
                                     have yielded power in the tens of nanowatts region. If a few microwatts
                                     were available in the THz range, where oscillators hardly exist, that might
                                     very well turn out to be a practical proposition.
                                   3. A direct transition may be caused between the Josephson characteristics
                                     and the ‘normal’ tunnelling characteristics by the application of a small
                                     magnetic field (Fig. 14.19).
                                   4. When two Josephson junctions are connected in parallel [Fig. (14.20)] the
                                     maximum supercurrent that can flow across them is a periodic function of
                                     the magnetic flux,
     I J is a constant depending on the
     junction parameters,   is the en-

     closed magnetic flux, and   0 is                                   π
                                                                     cos    .              (14.74)
     the so-called flux quantum equal                      I max =2I J      0
     to h/2e =2 × 10 –15  Wb.
                                                  I
     Fig. 14.19
     The current as a function of voltage
     for a junction which may display both
     ‘normal’ and Josephson tunnelling.
     I 0 is the current flowing without any       I 0
     accompanying voltage. The
     application of a small magnetic field
     causes a transition between the
     Josephson and ‘normal’ tunnelling
     characteristics. Once this extra
     magnetic field is removed, the voltage                        2Δ            V
     returns to zero.                                             e








                                                                            I
                                                             B

     Fig. 14.20
     Two Josephson junctions in parallel
                                                                                  Superconducting path
     connected by a superconducting path.
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