2012
DOI: 10.1103/physreva.85.023637
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Merging and alignment of Dirac points in a shaken honeycomb optical lattice

Abstract: Inspired by the recent creation of the honeycomb optical lattice and the realization of the Mott insulating state in a square lattice by shaking, we study here the shaken honeycomb optical lattice. For a periodic shaking of the lattice, a Floquet theory may be applied to derive a time-independent Hamiltonian. In this effective description, the hopping parameters are renormalized by a Bessel function, which depends on the shaking direction, amplitude and frequency. Consequently, the hopping parameters can vanis… Show more

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Cited by 44 publications
(50 citation statements)
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“…Merging of the Dirac cones and the corresponding gap opening in shaken honeycomb optical lattices have been recently studied in Ref. [34].…”
Section: Discussionmentioning
confidence: 99%
“…Merging of the Dirac cones and the corresponding gap opening in shaken honeycomb optical lattices have been recently studied in Ref. [34].…”
Section: Discussionmentioning
confidence: 99%
“…An illustrative example is the merging of Dirac cones upon a deformation of the honeycomb lattice that introduces anisotropies along the different hopping directions. 33 This anisotropy may be driven by shaking 34 or by superposing different square optical lattices and tuning the relative weight of each of them.…”
Section: 28mentioning
confidence: 99%
“…Our analysis, when restricted to linear polarization and high-frequency regime, agrees with the results obtained in shaken optical lattices. 25 In addition, we also consider different field polarizations and finite frequency effects. Importantly, at lower frequencies, we find that the coupling between the Floquet bands, that characterize the properties of the driven system, gives rise to out-of-equilibrium phases with no analogue in the static system in which multiple PDPs emerge.…”
Section: Introductionmentioning
confidence: 99%