Infinite randomness and the superconductor-metal transition - PiTP
Infinite randomness and the superconductor-metal transition - PiTP
Infinite randomness and the superconductor-metal transition - PiTP
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Exact predictions from <strong>the</strong> RTFIM<br />
D. Fisher, PRL (1992);<br />
PRB (1995)<br />
For a finite size system<br />
ln(1/Ω) ∼ L ψ µ ∼ ln(1/Ω) φ<br />
In <strong>the</strong> disordered phase<br />
ξ ∼ |δ| −ν<br />
C(x) ∼ exp [ −(x/ξ) − (27π 2 /4) 1/3 (x/ξ) 1/3]<br />
(x/ξ) 5/6 H = − ∑ i<br />
J i σi z σi+1 z − ∑ h i σi<br />
x<br />
i<br />
critical exponents<br />
ψ =1/2<br />
ν =2<br />
φ = (1 + √ 5)/2