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Termination of typical wave-function multifractal spectra at the Anderson metal-insulator transition: Field theory description using the functional renormalization group
We revisit the problem of wave-function statistics at the Anderson metal-insulator transition (MIT) of noninteracting electrons in $d>2$ spatial dimensions. At the transition, the complex spatial structure of the critical wave functions is reflected in the nonlinear behavior of the multifractal spectrum of generalized inverse participation ratios (IPRs). Beyond the …