Quantized Berry phase in twisted Bloch momentum space as a topological order parameter for spin chains

We show that a quantized Berry phase in Bloch momentum space can serve as a topological order parameter to the quantum phases of a gapped spin chain system with time-reversal invariance. Specifically, we study this approach analytically in a class of XY spin-1/2 chain with multiple sites interaction...

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Veröffentlicht in:	Physics letters. A 2013-08, Vol.377 (18), p.1250-1254
Hauptverfasser:	Ma, Yu-Quan, Yu, Zhao-Xian, Wang, Deng-Shan, Li, Xiang-Gui
Format:	Artikel
Sprache:	eng
Schlagworte:	Berries Curvature Gages Gauges Geometric phase Mathematical analysis Order parameters Phase diagrams Quantized spin chain model Quantum phase transitions Topological [formula omitted] order Topology
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