On the Möbius transformation in the entanglement entropy of fermionic chains
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Publication:3302593
DOI10.1088/1742-5468/2016/04/043106zbMATH Open1456.82084arXiv1511.02382OpenAlexW3102353416MaRDI QIDQ3302593
Author name not available (Why is that?)
Publication date: 11 August 2020
Published in: (Search for Journal in Brave)
Abstract: 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 M"obius 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 support for the use of entanglement entropy to analyse phase transition.
Full work available at URL: https://arxiv.org/abs/1511.02382
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