000075702 001__ 75702 000075702 005__ 20200117221630.0 000075702 0247_ $$2doi$$a10.1103/PhysRevA.97.062301 000075702 0248_ $$2sideral$$a106856 000075702 037__ $$aART-2018-106856 000075702 041__ $$aeng 000075702 100__ $$0(orcid)0000-0001-5062-2332$$aAres, F.$$uUniversidad de Zaragoza 000075702 245__ $$aEntanglement entropy in the long-range Kitaev chain 000075702 260__ $$c2018 000075702 5060_ $$aAccess copy available to the general public$$fUnrestricted 000075702 5203_ $$aIn this paper we complete the study on the asymptotic behavior of the entanglement entropy for Kitaev chains with long-range pairing. We discover that when the couplings decay with the distance with a critical exponent new properties for the asymptotic growth of the entropy appear. The coefficient of the leading term is not universal any more and the connection with conformal field theories is lost. We perform a numerical and analytical approach to the problem showing a perfect agreement. In order to carry out the analytical study, a technique for computing the asymptotic behavior of block Toeplitz determinants with discontinuous symbols has been developed. 000075702 536__ $$9info:eu-repo/grantAgreement/ES/DGIID-DGA/2016-E24-2$$9info:eu-repo/grantAgreement/ES/FPI/C070-2014$$9info:eu-repo/grantAgreement/ES/MINECO/FPA2015-65745-P 000075702 540__ $$9info:eu-repo/semantics/openAccess$$aAll rights reserved$$uhttp://www.europeana.eu/rights/rr-f/ 000075702 590__ $$a2.907$$b2018 000075702 591__ $$aPHYSICS, ATOMIC, MOLECULAR & CHEMICAL$$b13 / 36 = 0.361$$c2018$$dQ2$$eT2 000075702 591__ $$aOPTICS$$b28 / 95 = 0.295$$c2018$$dQ2$$eT1 000075702 592__ $$a1.268$$b2018 000075702 593__ $$aAtomic and Molecular Physics, and Optics$$c2018$$dQ1 000075702 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000075702 700__ $$0(orcid)0000-0001-7715-4970$$aGarcía Esteve, J.$$uUniversidad de Zaragoza 000075702 700__ $$0(orcid)0000-0002-0882-0463$$aFalceto, F.$$uUniversidad de Zaragoza 000075702 700__ $$ade Queiroz, A.R. 000075702 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000075702 773__ $$g97, 6 (2018), 062301 [8 pp]$$pPhys. rev., A$$tPhysical Review A$$x2469-9926 000075702 8564_ $$s403094$$uhttps://zaguan.unizar.es/record/75702/files/texto_completo.pdf$$yVersión publicada 000075702 8564_ $$s21237$$uhttps://zaguan.unizar.es/record/75702/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000075702 909CO $$ooai:zaguan.unizar.es:75702$$particulos$$pdriver 000075702 951__ $$a2020-01-17-21:59:21 000075702 980__ $$aARTICLE