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Band-anisotropy induced Bloch–Siegert shift in graphene

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Abstract

In this work, we study the well-known phenomenon of the Bloch–Siegert shift, paying special attention to the change in the resonance condition of anomalous Rabi oscillations that are peculiar to graphene. The inclusion of frequency doubling (counter-rotating terms) in the conventional rotating wave approximation leads to a rather small shift in the resonance condition which forms the conventional Bloch–Siegert shift. In case of anomalous Rabi oscillations, however, band anisotropy caused by the inclusion of next-nearest neighbor hopping together with frequency doubling or the Rashba effect leads to a Bloch–Siegert shift which is quite substantial (in percentage terms, actually infinite), lending credence to the claim that the anomalous Rabi oscillation is sensitive to qualitative changes in the low energy band structure of graphene and as such is a useful indicator of the chiral massless Dirac fermion nature of quasiparticles in graphene.

© 2014 Optical Society of America

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