Correspondence between a shaken honeycomb lattice and the Haldane model

Aug 1, 2017
8 pages
Published in:
  • Phys.Rev.A 96 (2017) 5, 053603
  • Published: Nov 1, 2017
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Abstract: (APS)
We investigate the correspondence between the tight-binding Floquet Hamiltonian of a periodically modulated honeycomb lattice and the Haldane model. We show that—though the two systems share the same topological phase diagram, as reported in a breakthrough experiment with ultracold atoms in a stretched honeycomb lattice [G. Jotzu , Nature (London) 515, 237 (2014)NATUAS0028-083610.1038/nature13915]—the corresponding Hamiltonians are not equivalent, the one of the shaken lattice presenting a much richer structure.
Note:
  • 8 pages, 7 figures
  • critical phenomena: topological
  • lattice
  • Hamiltonian
  • structure
  • atom
  • numerical calculations