Entanglement spectrum of fermionic bilayer honeycomb lattice: Hofstadter butterfly

  title={Entanglement spectrum of fermionic bilayer honeycomb lattice: Hofstadter butterfly},
  author={Zeinab Moradi and Jahanfar Abouie},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
  • Z. MoradiJ. Abouie
  • Published 28 May 2016
  • Physics
  • Journal of Statistical Mechanics: Theory and Experiment
We perform an analytical study of the energy and entanglement spectrum of non-interacting fermionic bilayer honeycomb lattices in the presence of trigonal warping in the energy spectrum, on-site energy difference and uniform magnetic field. Employing single particle correlation functions, we present an explicit form for a layer–layer entanglement Hamiltonian whose spectrum is the entanglement spectrum. We demonstrate that in the absence of trigonal warping, at zero on-site energy difference… 
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