Topological Classification of Gapped Spin Chains :Quantized Berry Phase as a Local Order Parameter

Simple item page
dc.creatorHirano, Takaaki
dc.creatorKatsura, Hosho
dc.creatorHatsugai, Yasuhiro
dc.date2007-10-23
dc.date2008-03-25
dc.date.accessioned2026-07-07T09:56:46Z
dc.date.available2026-07-07T09:56:46Z
dc.descriptionWe characterize several phases of gapped spin systems by local order parameters defined by quantized Berry phases. This characterization is topologically stable against any small perturbation as long as the energy gap remains finite. The models we pick up are $S=1,2$ dimerized Heisenberg chains and S=2 Heisenberg chains with uniaxial single-ion-type anisotropy. Analytically we also evaluate the topological local order parameters for the generalized Affleck-Kennedy-Lieb-Tasaki (AKLT) model. The relation between the present Berry phases and the fractionalization in the integer spin chains are discussed as well.
dc.description6 pages, 4 figures, accepted for publication in Phys. Rev. B
dc.identifierhttps://arxiv.org/abs/0710.4198
dc.identifierhttp://arxiv.org/abs/0710.4198
dc.identifierPhys. Rev. B 77, 094431 (2008)
dc.identifierdoi:10.1103/PhysRevB.77.094431
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167095
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleTopological Classification of Gapped Spin Chains :Quantized Berry Phase as a Local Order Parameter
dc.typetext

Files

Collections

arXiv