On the Möbius transformation in the entanglement entropy of fermionic chains

  title={On the M{\"o}bius transformation in the entanglement entropy of fermionic chains},
  author={Filiberto Ares and J. G. Esteve and Fernando Falceto and Amilcar R. de Queiroz},
  journal={Journal of Statistical Mechanics: Theory and Experiment},
There is an intimate relation between entanglement entropy and Riemann surfaces. This fact is explicitly noticed for the case of quadratic fermionic Hamiltonians with finite range couplings. After recollecting this fact, we make a comprehensive analysis of the action of the Mobius transformations on the Riemann surface. We are then able to uncover the origin of some symmetries and dualities of the entanglement entropy already noticed recently in the literature. These results give further… 

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