Anomalous resonance in Weyl semimetals: A holographic study of non-linear effects

TL;DR

This study uses holographic models to explore non-linear effects causing long-lived current oscillations in Weyl semimetals, showing that low temperatures can significantly prolong these states, which could be experimentally observed.

Contribution

It provides a holographic analysis of non-linear effects on anomalous resonance and long-lived modes in Weyl semimetals, highlighting temperature-dependent decay rates.

Findings

Long-lived current oscillations are observed after electric pulses.

Non-linear effects increase decay rates of these modes.

Low temperatures can extend the lifetime of symmetry-breaking states.

Abstract

We consider hairy, magnetic black brane solutions to Einstein-Maxwell-Chern-Simons-Dilaton theory with full back-reaction 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, non-linear effects increase the decay rates of long-lived modes by a temperature dependent amount. Nonetheless, our results suggest that the life-time 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.