Scaling up the Anderson transition in random-regular graphs

  title={Scaling up the Anderson transition in random-regular graphs},
  author={Manuel Pino},
  journal={arXiv: Disordered Systems and Neural Networks},
  • M. Pino
  • Published 27 May 2020
  • Mathematics
  • arXiv: Disordered Systems and Neural Networks
We study the Anderson transition in lattices with the connectivity of a random-regular graph. Our results indicate that fractal dimensions are continuous across the transition, but a discontinuity occurs in their derivatives, implying the non-ergodicity of the metal near the Anderson transition. A critical exponent $\nu = 1.00 \pm0.02$ and critical disorder $W= 18.2\pm 0.1$ are found via a scaling approach. Our data support that the predictions of the relevant Gaussian Ensemble are only… 
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