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Symmetries, topological phases, and bound states in the one-dimensional quantum walk

✍ Scribed by Asbóth, J. K.

Book ID
121873891
Publisher
The American Physical Society
Year
2012
Tongue
English
Weight
781 KB
Volume
86
Category
Article
ISSN
1098-0121

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Symmetry protection of topological phase
Symmetry protection of topological phases in one-dimensional quantum spin systems
✍ Pollmann, Frank; Berg, Erez; Turner, Ari M.; Oshikawa, Masaki 📂 Article 📅 2012 🏛 The American Physical Society 🌐 English ⚖ 605 KB

We discuss the characterization and stability of the Haldane phase in integer spin chains on the basis of simple, physical arguments. We find that an odd-S Haldane phase is a topologically nontrivial phase which is protected by any one of the following three global symmetries: (i) the dihedral group