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QED3 Theory of High Temperature Superconductors • What is the ...

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T<br />

Vortex Fluctuations in Underdoped Cuprates<br />

T<br />

Nernst<br />

T<br />

AF<br />

QED 3<br />

T c<br />

dSC<br />

*<br />

T < T ∗ – Strong SC Fluctuations<br />

Experimental Evidence:<br />

Uemura (Columbia),<br />

Ong (Princeton),<br />

Orenstein (Berkeley),<br />

F<strong>is</strong>cher (Geneva),<br />

Oda & Ido (Hokkaido),<br />

Below T ∗ (∼ 100-200 K) <strong>the</strong>re are strong fluctuations <strong>of</strong> Cooper<br />

pairs. These fluctuations involve both <strong>the</strong> amplitude and <strong>the</strong> phase<br />

<strong>of</strong> <strong>the</strong> SC order parameter. The phase fluctuations are dominant<br />

while <strong>the</strong> amplitude fluctuations are frozen below T ∗ . The true SC<br />

order sets in only at T c ≪ T ∗ . The strongest evidence for large<br />

vortex fluctuations in <strong>the</strong> pseudogap state (above T c and below<br />

T Nernst ) comes from Nernst effect experiments by Ong et al.<br />

x<br />

Phase fluctuations:<br />

Smooth (“spin waves”)<br />

Singular (vortices)<br />

⇒ Vortices are responsible for <strong>the</strong> SC transition at T c<br />

and are dominant fluctuations below T Nernst

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