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Ground-state fidelity of the spin-1 Heisenberg chain with single ion anisotropy: Quantum renormalization group and exact diagonalization approaches

Langari, A ; Sharif University of Technology | 2013

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  1. Type of Document: Article
  2. DOI: 10.1088/0953-8984/25/40/406002
  3. Publisher: 2013
  4. Abstract:
  5. 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
  6. Keywords:
  7. Antiferromagnetics ; Exact diagonalization ; Heisenberg chains ; Order parameter ; Renormalization ; Renormalization group ; Single ion anisotropy ; Topological phasis ; Chains ; Phase diagrams ; Statistical mechanics ; Ground state ; Ion ; chemical model ; Chemical structure ; Magnetic field ; Spin labeling ; Chemistry ; Computer simulation ; Models, Molecular ; Quantum Theory ; Anisotropy ; Ions ; Magnetic Fields ; Models, Chemical ; Spin Labels
  8. Source: Journal of Physics Condensed Matter ; Volume 25, Issue 40 , 2013 ; 09538984 (ISSN)
  9. URL: http://iopscience.iop.org/article/10.1088/0953-8984/25/40/406002/meta;jsessionid=7E2419605CA8B6449B17F99319F35447.c1