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Infinite randomness and the superconductor-metal transition - PiTP

Infinite randomness and the superconductor-metal transition - PiTP

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Spatially dependent r<strong>and</strong>om couplings<br />

S =<br />

∫<br />

+<br />

dx<br />

∫<br />

∫ dω<br />

2π<br />

dτ<br />

[<br />

D(x)|∂ x Ψ(x, τ)| 2 + α(x)|Ψ(x, τ)| 2 + u(x)<br />

2 |Ψ(x, τ)|4 ]<br />

γ(x)|ω||Ψ(x, ω)|2<br />

T = 0<br />

Hoyos, Kotabage <strong>and</strong> Vojta, PRL 2007<br />

Real space RG predicts <strong>the</strong><br />

flow to a strong <strong>r<strong>and</strong>omness</strong><br />

fixed point for z = 2<br />

T<br />

Fisher’s<br />

QC<br />

RTFIM<br />

SC<br />

N<br />

IRFP<br />

α<br />

!

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