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Pré-Publication, Document De Travail Année : 2021

Non-Hermitian chiral anomalies

Sharareh Sayyad
  • Fonction : Auteur
Julia D. Hannukainen
  • Fonction : Auteur
Adolfo G. Grushin
  • Fonction : Auteur

Résumé

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.

Dates et versions

hal-03386083 , version 1 (06-07-2021)
hal-03386083 , version 2 (19-10-2021)

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Citer

Sharareh Sayyad, Julia D. Hannukainen, Adolfo G. Grushin. Non-Hermitian chiral anomalies. 2021. ⟨hal-03386083v1⟩
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