Quantum electrodynamics with anisotropic scaling: Heisenberg-Euler action and Schwinger pair production in the bilayer graphene

Abstract

We discuss quantum electrodynamics emerging in the vacua with anisotropic scaling. Systems with anisotropic scaling were suggested by Horava in relation to the quantum theory of gravity. In such vacua the space and time are not equivalent, and moreover they obey different scaling laws, called the anisotropic scaling. Such anisotropic scaling takes place for fermions in bilayer graphene, where if one neglects the trigonal warping effects the massless Dirac fermions have quadratic dispersion. This results in the anisotropic quantum electrodynamics, in which electric and magnetic fields obey different scaling laws. Here we discuss the Heisenberg-Euler action and Schwinger pair production in such anisotropic QED

5 pages, no figures, JETP Letters style, version accepted in JETP Letters

References in corpus (7)

• The electronic properties of graphene
• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Interaction-Driven Spectrum Reconstruction in Bilayer Graphene
• Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
• The Schwinger mechanism and graphene

Cited by in corpus (13)

• Advances in QED with intense background fields
• Tunneling Breakdown of a Strongly Correlated Insulating State in VO${}_2$ Induced by Intense Multi-Terahertz Excitation
• Dynamics of electric transport in interacting Weyl semimetals
• Mesoscopic Klein-Schwinger effect in graphene
• Nonlinear magnetization of graphene
• Radiation from electrons in graphene in strong electric field
• Unruh effect in vacua with anisotropic scaling: Applications to multilayer graphene
• The cosmological constant: A lesson from the effective gravity of topological Weyl media
• Topology of quantum vacuum
• Quantum tunnelling from vacuum in multidimensions
• Euclidean mirrors: enhanced vacuum decay from reflected instantons
• Effects of Lorentz violation in superconductivity
• Classification of emergent Weyl spinors in multi-fermion systems