61299 20200221144230.0 doi 10.1088/1742-5468/2016/04/043160 sideral 98669 ART-2016-98669 eng (orcid)0000-0001-5062-2332 Ares, Filiberto Universidad de Zaragoza On the Möbius transformation in the entanglement entropy of fermionic chains 2016 Access copy available to the general public Unrestricted 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 Möbius 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 transitions. info:eu-repo/grantAgreement/ES/DGA/E24-2 info:eu-repo/grantAgreement/ES/FPI/C070-2014 info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.196 2016 PHYSICS, MATHEMATICAL 8 / 55 = 0.145 2016 Q1 T1 MECHANICS 38 / 133 = 0.286 2016 Q2 T1 0.581 2016 Statistical and Nonlinear Physics 2016 Q3 Statistics, Probability and Uncertainty 2016 Q3 Statistics and Probability 2016 Q3 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion (orcid)0000-0001-7715-4970 Esteve, José G. Universidad de Zaragoza (orcid)0000-0002-0882-0463 Falceto, Fernando Universidad de Zaragoza de Queiroz, Amilcar R. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 2016, April (2016), 043106 [25 pp.] J. Stat. Mech.-Theory Exp. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT 1742-5468 554564 http://zaguan.unizar.es/record/61299/files/texto_completo.pdf Postprint 55532 http://zaguan.unizar.es/record/61299/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:61299 articulos driver 2020-02-21-13:19:20 ARTICLE