title: Ground-state fidelity of the spin-1 Heisenberg chain with single ion anisotropy: quantum renormalization group and exact diagonalization approaches.
abstract: We study the phase diagram of the anisotropic spin-1 Heisenberg chain with single ion anisotropy (D) using a ground-state fidelity approach. The ground-state fidelity and its corresponding susceptibility are calculated within the quantum renormalization group scheme where we obtained the renormalization of fidelity preventing calculation of the ground state. Using this approach, the phase boundaries between the antiferromagnetic Néel, Haldane and large-D phases are obtained for the whole phase diagram, which justifies the application of quantum renormalization group to trace the symmetry-protected topological phases. In addition, we present numerical exact diagonalization (Lanczos) results in which we employ a recently introduced non-local order parameter to locate the transition from Haldane to large-D phase accurately.
authors.affiliation: Department of Physics, Sharif University of Technology, PO Box 11155-9161, Tehran, Iran. Center of Excellence in Complex Systems and Condensed Matter (CSCM), Sharif University of Technology, Tehran 1458889694, Iran. Max-Planck-Institut für Physik Komplexer Systeme, D-01187 Dresden, Germany.
authors.forename: A
authors.initials: A
authors.lastname: Langari
authors.forename: F
authors.initials: F
authors.lastname: Pollmann
authors.forename: M
authors.initials: M
authors.lastname: Siahatgar
mesh_terms: D016880:Anisotropy; D003198:Computer Simulation; D007477:Ions / Q000737:chemistry*; D060526:Magnetic Fields; D008956:Models, Chemical; D008958:Models, Molecular; D011789:Quantum Theory; D013113:Spin Labels
chemical_list: D007477:Ions; D013113:Spin Labels