Theory for charge and orbital density-wave states in manganite La0.5Sr1.5MnO4

@article{Yao2013TheoryFC,
  title={Theory for charge and orbital density-wave states in manganite La0.5Sr1.5MnO4},
  author={Zi‐Jian Yao and Wei-qiang Chen and Jin-Hua Gao and Hong-Min Jiang and Fu-Chun Zhang},
  journal={Physical Review B},
  year={2013},
  volume={87}
}
We investigate the high temperature phase of layered manganites, and demonstrate that the charge-orbital phase transition without magnetic order in La$_{0.5}$Sr$_{1.5}$MnO$_4$ can be understood in terms of the density wave instability. The orbital ordering is found to be induced by the nesting between segments of Fermi surface with different orbital characters. The simultaneous charge and orbital orderings are elaborated with a mean field theory. The ordered orbitals are shown to be $d_{x^2-y^2… 

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References

More careful studies show that the hopping integral is actually complex and electrons will get nontrivial phases on closed loops, see
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