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  • 16:25, 24 March 2024 Rosso talk contribs created page L-9 (Created page with "=Multifractality= In the last lecture we discussed that the eigenstates of the Anderson model can be localized, delocalized or multifractal. The idea is to look at the (generalized) IPR <center><math> IPR(q)=\sum_n |\psi_n|^{2 q} \sim L^{-\tau_q} </math></center> The exponent <math>\tau_q</math> is called <Strong> multifractal exponent </Strong>. Normalization imposes <math>\tau_1 =0 </math> and the fact that the wave fuction is defined everywhere that <math>\tau_0 =-d...")