On the propagation of Dirac fermions in graphene with the strain-induced inhomogeneous Fermi velocity

Abstract

We consider systems described by the two-dimensional Dirac equation where the Fermi velocity is inhomogeneous as a consequence of mechanical deformations. We show that the mechanical deformations can lead to deflection and focusing of the wave packets. The analogy with known reflectionless quantum systems is pointed out. Furthermore, with the use of the qualitative spectral analysis, we discuss how inhomogeneous strains can be used to create waveguides for valley polarized transport of partially dispersionless wave packets.

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Cited by in corpus (8)

• Effective magnetic field induced by inhomogeneous Fermi velocity in strained honeycomb structures
• Anomalous Floquet tunneling in uniaxially strained graphene
• Numerical quasi-conformal transformations for electron dynamics on strained graphene surfaces
• Complex Supersymmetry in Graphene
• Critical behavior for point monopole and dipole electric impurities in uniformily and uniaxially strained graphene
• Extended transfer matrix method for electron transmission in anisotropic 2D materials: Interplay of strain and (a)periodicity of potentials
• Valley focusing effect in a rippled graphene superlattice
• The soliton nature of the super-Klein tunneling effect