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

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arxiv 1912.00675 v1 pith:V7P3LBQA submitted 2019-12-02 cond-mat.mes-hall hep-thquant-ph

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

classification cond-mat.mes-hall hep-thquant-ph
keywords inhomogeneousdeformationsdiracfermimechanicalpacketssystemsvelocity
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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