2012/10/31 by Kazuki Hasebe, Keisuke Totsuka · 1 citation
Physics and Astronomy · #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum entanglement #Quantum many-body systems #Quantum mechanics #Symmetry protected topological order #Theoretical physics #Topological entropy in physics #Topological order #Topological quantum number #Topology (electrical circuits) #cond-mat.str-el #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevb.87.045115
published as Phys.Rev.B 87, 045115 (2013) · 22 pages, 12 figures, supplementary material is available upon request, minor corrections
openalex publication_date 2013/01/17 · arxiv created 2013/03/02 · arxiv updated 2013/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a detailed analysis of topological properties of the valence-bond solid (VBS) states doped with fermionic holes. As concrete examples, we consider the supersymmetric extension of the SU(2) and the SO(5) VBS states, dubbed UOSp(1|2) and UOSp(1|4) supersymmetric VBS states, respectively. Specifically, we investigate the string-order parameters and the entanglement spectra of these states to find that, even when the parent states (bosonic VBS states) do not support the string order, they recover it when holes are doped and the fermionic sector appears in the entanglement spectrum. These peculiar properties are discussed in light of the symmetry-protected topological order. To this end, we characterize a few typical classes of symmetry-protected topological orders in terms of supermatrix product states (SMPS). From this, we see that the topological order in the bulk manifests itself in the transformation properties of the SMPS in question and thereby affects the structure of the entanglement spectrum. Then, we explicitly relate the existence of the string order and the structure of the entanglement spectrum to explain the recovery and the stabilization of the string order in the supersymmetric systems.