Infinite randomness and the superconductor-metal transition - PiTP

Equal time correlation functions
Fisher’s asymptotic
scaling form
C(x) ∼ exp [ −(x/ξ) − (27π 2 /4) 1/3 (x/ξ) 1/3]
(x/ξ) 5/6
10 2
10 1
10 0
10 −1
L = 64
α c = −0.93(3)
ν =1.9(2)
ln ξ
3
2
1
ξ ∼ δ −ν
C(x)
10 −2
10 −3
10 −4
10 −5
10 −6
10 −7
10 −8
α
0.00
-0.25
-0.50
-0.65
-0.75
0
−2.0 −1.5 −1.0 −0.5 0.0
ln δ
5 10 15 20 25 30
x
α c ≃−0.93
ν =1.9(2)