Interaction of Flexural Phonons with Electrons in Graphene: A Generalized Dirac Equation in Corrugated Surfaces
arXiv:1102.0746 · doi:10.1016/j.physb.2012.01.129
Abstract
A generalized Dirac equation is derived in order to describe charge carriers moving in corrugated graphene, which is the case for temperatures above 10°K due to the presence of flexural phonons. Such interaction is taken into account by considering an induced metric, in the same spirit as the general relativity approach for the description of fermionic particle moving in a curved space-time. The resulting equation allows to include in a natural way the presence of other phonon branches as well as an external electromagnetic field. It also predicts non-linear effects which are not present in the usual vector potential approximation used in most of publications on the subject, as well as the possibility of controlling electronic conductivity using pure sinusoidal strain fields. The non-linear terms are important at high temperatures, and can also lead to interesting effects, like e.g. resonances between flexural phonons and external electromagnetic fields.
References in corpus (8)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Temperature dependent transport in suspended graphene
- All-graphene integrated circuits via strain engineering
- Limits on electron quality in suspended graphene due to flexural phonons
- Charge Transport in Disordered Graphene-Based Low Dimensional Materials
- Charge inhomogeneities due to smooth ripples in graphene sheets
- Strains and pseudo-magnetic fields in circular graphene rings
Cited by in corpus (12)
- Understanding electron behavior in strained graphene as a reciprocal space distortion
- Pseudo-magnetic field in curved graphene
- Graphene's morphology and electronic properties from discrete differential geometry
- Flexural phonon scattering induced by electrostatic gating in graphene
- Quantitative Chemistry and the Discrete Geometry of Conformal Atom-Thin Crystals
- Optical conductivity of curved graphene
- From curved spacetime to spacetime-dependent local unitaries over the honeycomb and triangular Quantum Walks
- Multifractal wave functions of charge carriers in graphene with folded deformations, ripples or uniaxial flexural modes: analogies to the quantum Hall effect under random pseudomagnetic fields
- Quantum Field Theory Approach to the Optical Conductivity of Strained and Deformed Graphene
- Aspects of the polynomial affine model of gravity in three dimensions
- Band Gaps and Wavefunctions of Electrons Coupled to Pseudo Electromagnetic Waves in Rippled Graphene
- Instantons and transseries of the Mathieu potential deformed by a -symmetry parameter