Anomalous resonance in Weyl semimetals: A holographic study of nonlinear effects

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Abstract
We consider hairy, magnetic black brane solutions to Einstein-Maxwell-Chern-Simons-Dilaton theory with full backreaction of the scalar and gauge fields and compute the time evolution with time dependent sources. The dual field theory’s ’t Hooft anomaly leads to long-lived current oscillations in the low temperature limit long after the electric pulse which created these modes has been switched off. We find that, generally, nonlinear effects increase the decay rates of long-lived modes by a temperature dependent amount. Nonetheless, our results suggest that the lifetime of time-translation symmetry breaking states can be made arbitrarily large if the temperature after the quench is sufficiently small. Experimentally this might be realizable in Weyl semimetals.
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Funding Information
  • Israel Science Foundation (1417/21)
  • Deutsche Forschungsgemeinschaft (GRK2994)
  • European Research Council (101117338)

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