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Breakdown of emergent Lifshitz symmetry in holographic matter with Harris-marginal disorder
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We revisit the theory of strongly correlated quantum matter perturbed by Harris-marginal random-field disorder, using the simplest holographic model. We argue that for weak disorder, the ground state of the theory is not Lifshitz invariant with a non-trivial disorder-dependent dynamical exponent, as previously found. Instead, below a non-perturbatively small energy scale, we predict infrared physics becomes independent of the disorder strength.
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Disordered Charged Horizons
Fully backreacted disordered charged black branes show disorder survives in the infrared of AdS4, producing residual resistivity, but decays in AdS3, indicating a Harris-criterion violation in strongly coupled systems.
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