Infinite randomness and the superconductor-metal transition - PiTP

Extreme value distribution
The minimum
excitation energy
10 −1
L = 128
is due to a rare
event, an extremal
value
P (ln Ω)
10 −2
»
P (x) = 1 β e ( x−µ
β )−e ( x−µ ) –
β
10 −3
δ =0.18
Gumbel
−20 −15 −10 −5
ln Ω
Juhász, Lin and Iglói (2006)