Generalized effective hamiltonian for graphene under non-uniform strain

Abstract

We use a symmetry approach to construct a systematic derivative expansion of the low energy effective Hamiltonian modifying the continuum Dirac description of graphene in the presence of non-uniform elastic deformations. We extract all experimentally relevant terms and describe their physical significance. Among them there is a new gap-opening term that describes the Zeeman coupling of the elastic pseudomagnetic field and the pseudospin. We determine the value of the couplings using a generalized tight binding model.

13 pages, 1 figure. Matches published version + 1 footnote added, typos corrected

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Cited by in corpus (60)

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• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Tuning the pseudospin polarization of graphene by a pseudo-magnetic field
• Vortexability: A Unifying Criterion for Ideal Fractional Chern Insulators
• Strain induced Chiral Magnetic Effect in Weyl semimetals
• Generalizing the Fermi velocity of strained graphene from uniform to nonuniform strain
• Electronic Structure Theory of Strained Two-Dimensional Materials with Hexagonal Symmetry
• Thermal transport, geometry, and anomalies
• Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures
• Emergent Weyl spinors in multi-fermion systems
• Strained fold assisted transport in graphene systems
• Pseudomagnetic fields and triaxial strain in graphene
• The $8Pmmn$ borophene sheet: A solid-state platform for space-time engineering
• Rotational strain in Weyl semimetals: A continuum approach
• Gaussian deformations in graphene ribbons: flowers and confinement
• Valley-Polarized Quantum Transport Generated by Gauge Fields in Graphene
• Tunable Anomalous Andreev Reflection and Triplet Pairings in Spin Orbit Coupled Graphene
• Graphene's morphology and electronic properties from discrete differential geometry
• Dispersive Landau levels and valley currents in strained graphene nanoribbons
• Revisiting the gauge fields of strained graphene
• Hall viscosity from elastic gauge fields in Dirac crystals
• Chiral anomaly in Dirac semimetals due to dislocations
• Gauge fields in graphene with nonuniform elastic deformations: A quantum field theory approach
• Landau levels in strained two-dimensional photonic crystals
• Emergent gravity in the cubic tight-binding model of Weyl semimetal in the presence of elastic deformations
• Strain-induced gauge and Rashba fields in ferroelectric Rashba lead chalcogenide PbX monolayers (X = S, Se, Te)
• Magneto-strain-driven quantum engine on a graphene flake
• Conductance signatures of electron confinement induced by strained nanobubbles in graphene
• Elastic Gauge Fields and Hall Viscosity of Dirac Magnons
• Topological flat bands in strained graphene: substrate engineering and optical control
• Quantitative Chemistry and the Discrete Geometry of Conformal Atom-Thin Crystals
• Landau Levels in Uniaxially Strained Graphene: A Geometrical Approach
• Twisted bilayer graphene revisited: minimal two-band model for low-energy bands
• Landau levels from neutral Bogoliubov particles in two-dimensional nodal superconductors under strain and doping gradients
• Kekulé spiral order in magic-angle graphene: a density matrix renormalization group study
• Electron dynamics in strained graphene
• Optical conductivity of curved graphene
• Raise and collapse of strain-induced pseudo-Landau levels in graphene
• Designing electronic properties of two-dimensional crystals through optimization of deformations
• Photo-induced valley currents in strained graphene
• The Haldane model under nonuniform strain
• Strain-induced modifications of transport in gated graphene nanoribbons
• Cubic Hall viscosity in three-dimensional topological semimetals
• Undamped transverse electric mode in undoped two-dimensional tilted Dirac cone materials
• Mapping the effect of defect-induced strain disorder on the Dirac states of topological insulators
• Landau levels in curved space realized in strained graphene
• Curved-space Dirac description of elastically deformed monolayer graphene is generally incorrect
• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Impact of novel electron-phonon coupling mechanisms on valley physics in two-dimensional materials
• Topological matter: graphene and superfluid 3He
• Floquet analysis of pulsed Dirac systems: A way to simulate rippled graphene
• Deformation of graphene sheet: Interaction of fermions with phonons
• The type II Weyl semimetals at low temperatures: chiral anomaly, elastic deformations, zero sound
• Bose-Einstein condensate of Dirac magnons: Pumping and collective modes
• Emergent Weyl fermions and the origin of $i=\sqrt{-1}$ in quantum mechanics
• Strain-induced pseudomagnetic and scalar fields in symmetry-enforced Dirac nodes
• Inverse design of strained graphene surfaces for electron control
• Nodal semimetals in $d\ge 3$ to sharp pseudo-Landau levels by dimensional reduction