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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

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