Emergent Chern-Simons excitations due to electron--phonon interaction

Abstract

We address the problem of Dirac fermions interacting with longitudinal phonons. A gap in the spectrum of fermions leads to the emergence of the Chern--Simons excitations in the spectrum of phonons. We study the effect of those excitations on observable quantities: the phonon dispersion, the phonon spectral density, and the Hall conductivity.

9 pages, 4 figures

References in corpus (7)

• The electronic properties of graphene
• Cold atom simulation of interacting relativistic quantum field theories
• Effect of Holstein phonons on the electronic properties of graphene
• Emergence of a ZO Kohn anomaly in quasi-freestanding epitaxial graphene
• Valley symmetry breaking and gap tuning in graphene by spin doping
• Mimicking interacting relativistic theories with stationary pulses of light
• Frequency splitting of intervalley phonons in graphene

Cited by in corpus (6)

• Hall viscosity for optical phonons
• Spontaneous mass generation due to phonons in a two-dimensional Dirac fermion system
• Deformation of graphene sheet: Interaction of fermions with phonons
• Quantum Hall effect induced by electron-phonon interaction
• Renormalization of the optical band gap through an effective Thirring interaction for massive Dirac-like electrons
• Phonon mode splitting and phonon anomaly in multiband electron systems