Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter

J. Arenz; M. R. Zirnbauer

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arXiv · 2305.00243

Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter

J. Arenz·M. R. Zirnbauer

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Abstract

Assuming the self-consistent theory of localization due to Abou-Chacra et al., we solve the N=1 Wegner model in the regime of strong disorder and high dimension. In the process, we uncover a non-standard electronic phase with spontaneously broken U(1) symmetry -- the missing field-theory basis underlying phenomena associated with fractal eigenstates and singular continuous spectra.

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cond-mat.dis-nn hep-th

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J. Arenz, M. R. Zirnbauer. 2023-04-29. Wegner model on a tree graph: U(1) symmetry breaking and a non-standard phase of disordered electronic matter. https://arxiv.org/abs/2305.00243

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