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.
J Phys Condens Matter. 2013 Oct 9;25(40):406002. doi: 10.1088/0953-8984/25/40/406002. Epub 2013 Sep 11.
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.
我们使用基态保真度方法研究了具有单离子各向异性（D）的各向异性自旋-1 海森堡链的相图。在量子重整化群方案中计算了基态保真度及其相应的磁化率，在该方案中，我们获得了保真度的重整化，以防止计算基态。使用这种方法，我们获得了整个相图中反铁磁奈尔相、哈尔丹相和大 D 相之间的相界，这证明了量子重整化群在追踪对称保护拓扑相方面的应用。此外，我们还提出了数值精确对角化（Lanczos）的结果，其中我们采用了最近提出的非局域序参量来准确地定位从哈尔丹相到大 D 相的转变。
