Journal
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Volume -, Issue -, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2016/04/043106
Keywords
conformal field theory (theory); entanglement in extended quantum systems (theory); spin chains; ladders and planes (theory)
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Funding
- DGIID-DGA [2014-E24/2]
- MINECO (Spain) [FPA2015-65745-P]
- FPI [C070/2014]
- DGIID-DGA/European Social Fund
- CAPES [BEX 8713/13-8]
- CNPq [305338/2012-9]
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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 support for the use of entanglement entropy to analyse phase transitions.
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