• Corpus ID: 235606243

Non-Hermitian chiral anomalies

@inproceedings{Sayyad2021NonHermitianCA,
  title={Non-Hermitian chiral anomalies},
  author={Sharareh Sayyad and Julia D. Hannukainen and Adolfo G. Grushin},
  year={2021}
}

• Sharareh Sayyad, Julia D. Hannukainen, A. Grushin
• Published 23 June 2021
• Physics

The chiral anomaly underlies a broad number of phenomena, from enhanced electronic transport in topological metals to anomalous currents in the quark-gluon plasma. The discovery of topological states of matter in non-Hermitian systems— effective descriptions of dissipative systems— raises the question of whether there are anomalous conservation laws that remain unaccounted for. To answer this question, we consider both 1 + 1 and 3 + 1 dimensions, presenting a unified formulation to calculate anomalous responses in Hermitianized, anti-Hermitianized and non-Hermitian systems of massless electrons with complex Fermi velocities coupled to non-Hermitian gauge fields. Our results indicate that the quantum conservation laws of chiral currents of non-Hermitian systems are not related to those in Hermitianized and anti-Hermitianized systems, as would be expected classically, due to novel anomalous terms that we derive. These may have implications for a broad class of emerging experimental systems that realize non-Hermitian Hamiltonians.