RT Journal Article
T1 Inhomogeneous XX spin chains and quasi-exactly solvable models
A1 Finkel Morgenstern, Federico
A1 González López, Artemio
AB We establish a direct connection between inhomogeneous XX spin chains (or free fermion systems with nearest-neighbors hopping) and certain QES models on the line giving rise to a family of weakly orthogonal polynomials. We classify all such models and their associated XX chains, which include two families related to the Lame (finite gap) quantum potential on the line. For one of these chains, we numerically compute the Renyi bipartite entanglement entropy at half filling and derive an asymptotic approximation thereof by studying the model's continuum limit, which turns out to describe a massless Dirac fermion on a suitably curved background. We show that the leading behavior of the entropy is that of ac= 1 critical system, although there is a subleading log(logN) correction (whereNis the number of sites) unusual in this type of models.
PB IOP Publishing Ltd and SISSA Medialab srl
SN 1742-5468
YR 2020
FD 2020-09-23
LK https://hdl.handle.net/20.500.14352/95285
UL https://hdl.handle.net/20.500.14352/95285
LA eng
NO Finkel F and González-López A 2020 Inhomogeneous XX spin chains and quasi-exactly solvable models 2020 093105
NO Está depositada la versión enviada a la revista del artículo
NO Ministerio de Ciencia e Innovación (España)
NO Universidad Complutense de Madrid
DS Docta Complutense
RD 14 abr 2025