Averaging the time-evolution operator over disorder restores permutation symmetry in the effective dynamical map for linear observables, enabling polynomial-scaling simulations of large disordered spin systems via short-time and weak-disorder expansions.
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With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.
The spatially random localized phase at low filling factors in bilayer graphene is the disorder-induced Anderson solid phase.
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Disorder-induced strong-field strong-localization in 2D systems
The spatially random localized phase at low filling factors in bilayer graphene is the disorder-induced Anderson solid phase.