000096095 001__ 96095 000096095 005__ 20201113102333.0 000096095 0247_ $$2doi$$a10.1088/1742-5468/ab38b6 000096095 0248_ $$2sideral$$a120366 000096095 037__ $$aART-2019-120366 000096095 041__ $$aeng 000096095 100__ $$0(orcid)0000-0001-5062-2332$$aAres, Filiberto 000096095 245__ $$aSublogarithmic behaviour of the entanglement entropy in fermionic chains 000096095 260__ $$c2019 000096095 5060_ $$aAccess copy available to the general public$$fUnrestricted 000096095 5203_ $$aIn this paper, we discuss the possibility of unexplored behaviours for the entanglement entropy in extended quantum systems. Namely, we study the Rényi entanglement entropy for the ground state of long-range Kitaev chains with slow decaying couplings. We obtain that, under some circumstances, the entropy grows sublogarithmically with the length of the subsystem. Our result is based on the asymptotic behaviour of a new class of Toeplitz determinants whose symbol does not lie within the application domain of the Strong Szegő theorem or the Fisher–Hartwig conjecture. 000096095 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000096095 590__ $$a2.215$$b2019 000096095 591__ $$aPHYSICS, MATHEMATICAL$$b11 / 55 = 0.2$$c2019$$dQ1$$eT1 000096095 591__ $$aMECHANICS$$b63 / 136 = 0.463$$c2019$$dQ2$$eT2 000096095 592__ $$a0.486$$b2019 000096095 593__ $$aStatistical and Nonlinear Physics$$c2019$$dQ3 000096095 593__ $$aStatistics, Probability and Uncertainty$$c2019$$dQ3 000096095 593__ $$aStatistics and Probability$$c2019$$dQ3 000096095 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000096095 700__ $$0(orcid)0000-0001-7715-4970$$aEsteve, José G.$$uUniversidad de Zaragoza 000096095 700__ $$0(orcid)0000-0002-0882-0463$$aFalceto, Fernando$$uUniversidad de Zaragoza 000096095 700__ $$aZimborás, Zoltan 000096095 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000096095 773__ $$g2019, 9 (2019), 093105 [24 pp.]$$pJ. Stat. Mech.-Theory Exp.$$tJournal of Statistical Mechanics: Theory and Experiment$$x1742-5468 000096095 8564_ $$s485514$$uhttps://zaguan.unizar.es/record/96095/files/texto_completo.pdf$$yPostprint 000096095 8564_ $$s265481$$uhttps://zaguan.unizar.es/record/96095/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000096095 909CO $$ooai:zaguan.unizar.es:96095$$particulos$$pdriver 000096095 951__ $$a2020-11-13-08:43:17 000096095 980__ $$aARTICLE