Topological characterization of quantum phase transitions in a spin-1/2 model.

@article{Feng2007TopologicalCO,
  title={Topological characterization of quantum phase transitions in a spin-1/2 model.},
  author={X Feng and Guang-Ming Zhang and Tao Xiang},
  journal={Physical review letters},
  year={2007},
  volume={98 8},
  pages={087204}
}
We have introduced a novel Majorana representation of S=1/2 spins using the Jordan-Wigner transformation and have shown that a generalized spin model of Kitaev defined on a brick-wall lattice is equivalent to a model of noninteracting Majorana fermions with Z2 gauge fields without redundant degrees of freedom. The quantum phase transitions of the system at zero temperature are found to be of topological type and can be characterized by nonlocal string order parameters (SOP). In appropriate dual… CONTINUE READING

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