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Quantum distortion caused by magneto-elastic coupling for antiferromagnetic tetrahedral cluster of spin-1/2

Other Condensed Matter 2016-08-31 v2 Materials Science

Abstract

We study the effects of magneto-elastic coupling on the degenerate ground spin-state of the antiferromagnetic Heisenberg model on a regular tetrahedron of spin-1/2. When displacement of spin is considered as a classical variable, the degeneracy is lifted through the distance dependence of exchange coupling, i.e., a kind of Jahn-Teller effect. On the other hand, when displacement is considered as a quantum variable, the degeneracy of the ground spin-state is not lifted although the tetrahedron is distorted by quantum fluctuation caused by magneto-elastic coupling for a component of the normal coordinates of the degenerate mode. We propose a new model for the structural phase transition of vanadium and nickel spinels: the tetragonal distortion is caused by quantum fluctuation and there exists a kind of hidden order with respect to the non-magnetic ground spin-states.

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Cite

@article{arxiv.cond-mat/0604397,
  title  = {Quantum distortion caused by magneto-elastic coupling for antiferromagnetic tetrahedral cluster of spin-1/2},
  author = {Ikumi Honda and Kiyosi Terao},
  journal= {arXiv preprint arXiv:cond-mat/0604397},
  year   = {2016}
}

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4 pages