Issue |
EPL
Volume 95, Number 2, July 2011
|
|
---|---|---|
Article Number | 20003 | |
Number of page(s) | 5 | |
Section | General | |
DOI | https://doi.org/10.1209/0295-5075/95/20003 | |
Published online | 30 June 2011 |
ZQ topological invariants for Polyacetylene, Kagome and Pyrochlore lattices
1
Institute of Physics, University of Tsukuba - 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan
2
Graduate School of Engineering Science, Osaka University - Toyonaka, Osaka 560-8531, Japan
Received:
13
January
2011
Accepted:
1
June
2011
Adiabatic ZQ invariants by quantized Berry phases are defined for gapped electronic systems in d-dimensions (Q=d+1). This series includes Polyacetylene, Kagome and Pyrochlore lattice, respectively for d=1, 2 and 3. The invariants are quantum Q-multimer order parameters to characterize the topological phase transitions by the multimerization. This fractional quantization is protected by the global ZQ equivalence even with particle-particle interaction. As for the chiral symmetric case, a topological form of the Z2 invariant is explicitly given as well.
PACS: 03.65.Vf – Phases: geometric; dynamic or topological / 05.30.Rt – Quantum phase transitions
© EPLA, 2011
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