On the Möbius transformation in the entanglement entropy of fermionic chains. (28th April 2016)

• Record Type: Journal Article
• Authors: Ares, Filiberto; Esteve, José G; Falceto, Fernando; de Queiroz, Amilcar R
• Is Part Of: Journal of statistical mechanics. (2016:Apr.)
• Publication Date: 2016-04-28
• Subjects: Statistical mechanics -- Periodicals; Mechanics -- Statistical methods -- Periodicals; 530.1305
• DOI: 10.1088/1742-5468/2016/04/043106
• Languages: English
• ISSNs: 1742-5468

Abstract

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 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.