- Letter
Spin quantum Hall transition on random networks: Exact critical exponents via quantum gravity
Phys. Rev. B 114, L231402 – Published 5 October, 2026
DOI: https://doi.org/10.1103/y7pg-4bvt
Abstract
We solve the problem of the spin quantum Hall transition on random networks by mapping it to a loop model. Using tools of two-dimensional quantum gravity, we compute critical exponents that characterize this transition and confirm that these are related to the exponents for the regular (square) network through the Knizhnik-Polyakov-Zamolodchikov relation. Our results demonstrate the relevance of the geometric randomness of the networks and support conclusions of numerical simulations of random networks for the integer quantum Hall transition.
