# Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model

@article{Ma2009GeometricPA, title={Geometric phase and quantum phase transition in an inhomogeneous periodic XY spin-1/2 model}, author={Yu-quan Ma and Shu Chen}, journal={Physical Review A}, year={2009}, volume={79}, pages={022116} }

The notion of geometric phase has been recently introduced to analyze the quantum phase transitions of many-body systems from the geometrical perspective. In this work, we study the geometric phase of the ground state for an inhomogeneous period-two anisotropic XY model in a transverse field. This model encompasses a group of familiar spin models as its special cases and shows a richer critical behavior. The exact solution is obtained by mapping on a fermionic system through the Jordan-Wigner…

## 31 Citations

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