Dissipative Callan-Harvey mechanism in 2+1 -dimensional Dirac system: Fate of edge states along a domain wall

C. X. Zhang, M. Ulybyshev, C. Northe, E. M. Hankiewicz

Research output: Contribution to journalArticlepeer-review


The Callan-Harvey mechanism in the 2+1-dimensional (2+1-D) Jackiw-Rebbi model is revisited. We analyzed Callan-Harvey anomaly inflow in the massive Chern insulator (quantum anomalous Hall system) subject to an external electric field. In addition to the conventional current flowing from the bulk to the edge due to parity anomaly, we considered the dissipation of the edge charge due to the interaction with an external bosonic bath in 2+1 D and due to an external bath of photons in 3+1 D. In the case of a 2+1-D bosonic bath, we found the new stationary state, which is defined by the balance between the Callan-Harvey current and the outgoing flow caused by the dissipation processes. In the case a of 3+1-D photon bath, we found a critical electric field below which this balance state can be achieved, but above which there is no such balance. However, if one considers a more realistic model with a momentum-dependent mass βp2, the edge state merges into the bulk when the momentum is large, leading the system to the balance. Furthermore, we estimated the photon-mediated transition rate between a 2+1-D bulk and 1+1-D topological edge state of the order of 1 ns-1 at room temperature.

Original languageEnglish
Article number235118
JournalPhysical Review B
Issue number23
StatePublished - 15 Dec 2023

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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