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superconducting coherence length : ウィキペディア英語版
superconducting coherence length
In superconductivity, the superconducting coherence length, usually denoted as \xi (Greek lowercase ''xi''), is the characteristic exponent of the variations of the density of superconducting component.
In some special limiting cases, for example in the weak-coupling BCS theory it is related to characteristic Cooper pair size.
The superconducting coherence length is one of two parameters in the Ginzburg-Landau theory of superconductivity. It is given by:
: \xi = \sqrt}
while in BCS theory:
: \xi = \frac
where \hbar is the reduced Planck constant, m is the mass of a Cooper pair (twice the electron mass), v_f is the Fermi velocity, and \Delta is the superconducting energy gap.
The ratio ''κ'' = ''λ/ξ'', where λ is the London penetration depth, is known as the Ginzburg–Landau parameter. Type-I superconductors are those with 0 < ''κ'' < 1/√2, and type-II superconductors are those with ''κ'' > 1/√2.
For temperatures ''T'' near the superconducting critical temperature ''Tc'', ''ξ(T) ∝ (1-T/Tc)−1''.
==See also==

* Ginzburg-Landau theory of superconductivity
* BCS theory of superconductivity

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