Anomalous Goos-Hänchen shift in the Floquet scattering of Dirac fermions

ANGIOLO HUAMÁN; GONZALO USAJ

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

AMER PHYSICAL SOC

Lugar: New York; Año: 2019 vol. 100 p. 33409 - 33409

1050-2947

We study the inelastic scattering of two-dimensional massless Dirac fermions by an inhomogeneous time-dependent driving field. As a physical realization we consider a monolayer graphene normally illuminated with a circularly polarized laser of frequency Ω in a given region. The interaction Hamiltonian introduced by the laser, being periodic in time, can be treated with the Floquet method which naturally leads to a multi-channel scattering problem. We analyze planar and circular geometries of the interface separating the irradiated and non-irradiated regions and find that there is an anomalous Goos-Hänchen shift in the inelastic channel. The latter is weakly dependent on the amplitude of the driving (for small amplitudes) while its sign is determined by the polarization of the laser field. We related this shift with the appearance of topological edge states between two illuminated