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Disentangling topological degeneracy in the entanglement spectrum of one-dimensional symmetry-protected topological phases.
- Source :
-
Physical Review B: Condensed Matter & Materials Physics . Mar2014, Vol. 89 Issue 12, p125112-1-125112-5. 5p. - Publication Year :
- 2014
-
Abstract
- One-dimensional valence bond solid (VBS) states represent the simplest symmetry-protected topological phases. We show that their ground state entanglement spectrum contains both topological and nontopological structures. For the SO(3) symmetric VBS states with odd-integer spins, the twofold topological degeneracy is associated with an underlying Z2 × Z2 symmetry that protects the corresponding topological phase. In general, for the SO(2S + 1) symmetric VBS states with integer spins S, the corresponding protecting symmetry is identified as the (Z2 x Z2)S symmetry, yielding the 2S-fold topological degeneracy. The topological degeneracy and associated protecting symmetry can be identified by a nonlocal unitary transformation, which changes the topological order of the VBS states into conventional ferromagnetic order. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10980121
- Volume :
- 89
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Physical Review B: Condensed Matter & Materials Physics
- Publication Type :
- Academic Journal
- Accession number :
- 95934064
- Full Text :
- https://doi.org/10.1103/PhysRevB.89.125112