On the Möbius transformation in the entanglement entropy of fermionic chains

• Published in: Journal of statistical mechanics Vol. 2016; no. 4; pp. 43106 - 43130
• Main Authors: Ares, Filiberto, Esteve, José G, Falceto, Fernando, de Queiroz, Amilcar R
• Format: Journal Article
• Language: English
• Published: IOP Publishing and SISSA 28.04.2016

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...