Authors: Pino, M.
Journal: PHYSICAL REVIEW RESEARCH
Publication date: 2020/11/20
Abstract: We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results show that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the existence of a nonergodic metallic phase with multifractal eigenstates. The scaling analysis gives critical exponent nu = 0.94 +/- 0.08 and critical disorder W-c = 18.17 +/- 0.02. Our data support that ergodicity is only recovered at zero disorder.