Infinite symmetry prevents disorder-induced localization in 2D

Carlo A. Trugenberger

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arXiv · 2506.01785

Infinite symmetry prevents disorder-induced localization in 2D

Carlo A. Trugenberger

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Abstract

We show that 2D gapped many-body quantum states are constrained by an infinite-dimensional symmetry which renders them transparent to weak disorder. This prevents disorder-induced localization when interactions are strong enough to open a gap. Using purely algebraic methods we derive all possible quantum states near the superconductor-to-insulator (SIT) transition and we compute the meson spectrum of superinsulators.

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Carlo A. Trugenberger. 2025-06-02. Infinite symmetry prevents disorder-induced localization in 2D. https://arxiv.org/abs/2506.01785

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