Knight Shift in Metals
Knight Shift in Metals
Knight Shift in Metals
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(4)<br />
Superconduct<strong>in</strong>g state below T C<br />
All electrons condense <strong>in</strong>to a s<strong>in</strong>gle state described by a macroscopic wave function.<br />
i r<br />
r r e <br />
<br />
0<br />
<br />
Fermi Dirac statistics does not apply!<br />
electrons form pairs that are described by Bose statistics<br />
Cooper-pairs, mediated by electron-phonon <strong>in</strong>teraction<br />
Concern<strong>in</strong>g the sp<strong>in</strong> there are two possibilities:<br />
S 0<br />
<strong>in</strong> most cases<br />
S 1<br />
sp<strong>in</strong>-part<br />
odd<br />
even<br />
orbital part of wavefunction<br />
s- d- wave<br />
L 0,2,...<br />
even<br />
with respect to <strong>in</strong>version<br />
p- f- wave<br />
L 1,3,...<br />
odd<br />
<strong>in</strong> most superconductors, especially the classical ones:<br />
SC<br />
pauli 0 at T 0<br />
SC<br />
<br />
2<br />
density of the SC condensate<br />
T<br />
K<br />
T <strong>in</strong>dependent <strong>in</strong> the normal state D E<br />
<br />
F<br />
<br />
T c<br />
T<br />
K<br />
0 for T 0<br />
<br />
pairs