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Article Dans Une Revue Physical Review Research Année : 2022

Non-Hermitian chiral anomalies

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)

Identifiants

Citer

Sharareh Sayyad, Julia D. Hannukainen, Adolfo G. Grushin. Non-Hermitian chiral anomalies. Physical Review Research, 2022, 4 (4), pp.L042004. ⟨10.1103/PhysRevResearch.4.L042004⟩. ⟨hal-03386083v2⟩

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