Comment on "Chern-Simons theory and atypical Hall conductivity in the Varma phase''

Abstract

In a recent paper published in this Journal [Phys. Rev. B 97, 075135 (2018)], Menezes et al. analyze the topological behavior of a effective bosonic model defined on the Lieb lattice in presence of an electromagnetic field. In this context, the authors claim to have found an atypical quantum Hall effect for the quasiparticles. However, some inconsistencies related to the treatment of the propagator jeopardizes the main result in this system.

4 pages, 1 figure

References in corpus (4)

• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Corroborating the equivalence between the Duffin-Kemmer-Petiau and the Klein-Gordon and Proca equations
• Field theory of massive and massless vector particles in the Duffin - Kemmer - Petiau formalism
• Path integral quantization of a spinning particle

Cited by in corpus (1)

• Remarks on the ($2+1$)-dimensional Duffin-Kemmer-Petiau oscillator in an external magnetic field