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Goos-H\"anchen Shifts in Gapped Graphene subject to External Fields

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arxiv 2006.16707 v1 pith:4WZISVT4 submitted 2020-06-30 cond-mat.mes-hall quant-ph

Goos-H\"anchen Shifts in Gapped Graphene subject to External Fields

classification cond-mat.mes-hall quant-ph
keywords shiftsanchendiracgappedgoos-hgraphenetransmissionanalytically
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study Dirac fermions in gapped graphene that are subjected to a magnetic field and a potential barrier harmonically oscillating in time. The tunneling modes inside the gap and the associated Goos-H\"anchen (GH) shifts are analytically investigated. We show that the GH shifts in transmission for the central band and the first two sidebands change sign at the Dirac points $\epsilon+l\hbar\tilde{\omega}$ $(l=0,\pm 1)$. We also find that the GH shifts can be either negative or positive and becomes zero at transmission resonances.

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