Disorder-induced strong-field strong localization in two-dimensional systems
Phys. Rev. B 113, 184203 – Published 5 May, 2026
DOI: https://doi.org/10.1103/7dq6-dh9z
Abstract
A recent STM experiment in two-dimensional bilayer graphene [Y.-C. Tsui et al., Nature (London) 628, 287 (2024)], under a strong perpendicular magnetic field, has made a direct observation of the existence of three distinct filling-factor-dependent quantum phases in the lowest Landau level: the incompressible fractional quantum Hall liquid, a crystalline compressible hexagonal Wigner crystal with long-range order and rotational symmetry breaking, and a random localized solid phase with no spatial order. We argue that the spatially random localized phase at low filling is the recently proposed disorder-dominated strongly localized amorphous “Anderson solid” phase (A. Babbar et al., arXiv:2601.03521), which appears generically at a sample-dependent filling factor.
