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Varphi Josephson junction : ウィキペディア英語版
Varphi Josephson junction

A φ Josephson junction (pronounced ''varphi Josephson junction'') is a particular type of the Josephson junction, which has a non-zero Josephson phase φ across it in the ground state. A π Josephson junction, which has the minimum energy corresponding to the phase of π, is a specific example of it.
== Introduction ==
The Josephson energy U depends on the superconducting phase difference (Josephson phase) \phi periodically, with the period 2\pi. Therefore, let us focus only on one period, e.g. -\pi<\phi\leq+\pi. In the ordinary Josephson junction the dependence U(\phi) has the minimum at \phi=0. The function
: U(\phi) = \frac(),
where is the critical current of the junction, and \Phi_0 is the flux quantum, is a good example of conventional U(\phi).
Instead, when the Josephson energy U(\phi) has a minimum (or more than one minimum per period) at \phi\neq0, these minimum (minima) correspond to the lowest energy states (ground states) of the junction and one speaks about "φ Josephson junction". Consider two examples.
First, consider the junction with the Josephson energy U(\phi) having two minima at \phi=\pm\varphi within each period, where \varphi (such that 0<\varphi<\pi) is some number. For example, this is the case for
U(\phi) = \frac \left\I_()\right\},
which corresponds to the current-phase relation
I_s(\phi) = I_\sin(\phi) + I_\sin(2\phi).
If and , the minima of the Josephson energy occur at \phi=\pm\varphi, where \varphi=\arccos\left(-2I_/I_\right). Note, that the ground state of such a Josephson junction is doubly degenerate because U(-\varphi)=U(+\varphi).
Another example is the junction with the Josephson energy similar to conventional one, but shifted along \phi-axis, for example U(\phi) = \frac(),
and the corresponding current-phase relation
I_s(\phi) = I_\sin(\phi-\varphi_0).
In this case the ground state is \phi=\varphi_0 and it is not degenerate.
The above two examples show that the Josephson energy profile in φ Josephson junction can be rather different, resulting in different physical properties. Often, to distinguish, which particular type of the current-phase relation is meant, the researches are using different names. At the moment there is no well-accepted terminology. However, some researchers use the terminology after A. Buzdin:〔 the Josephson junction with double degenerate ground state \phi=\pm\varphi, similar to the first example above, are indeed called φ Josephson junction, while the junction with non-degenerate ground state, similar to the second example above, are called \varphi_0 Josephson junctions.

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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