Effective spin-1/2 exchange interactions in Tb$_2$Ti$_2$O$_7$

S. P. Mukherjee; S. H. Curnoe

doi:10.1103/PhysRevB.90.214404

Effective spin-1/2 exchange interactions in Tb$_2$Ti$_2$O$_7$

Strongly Correlated Electrons 2014-12-02 v1

Authors: S. P. Mukherjee , S. H. Curnoe

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Abstract

We derive an effective spin-1/2 exchange model for non-Kramers Tb $^{3+}$ states in the pyrochlore Tb $_2$ Ti $_2$ O $_7$ . The four anisotropic nearest-neighbour exchange constants, as well as next-neighbour exchange constants are derived for the effective model. This work goes beyond the independent tetrahedra model by considering all nearest-neighbour exchange paths on the pyrochlore lattice. Estimates of the exchange constants reveal that Tb $_2$ Ti $_2$ O $_7$ is described by a quantum spin ice Hamiltonian.

Keywords

spin chains

Cite

@article{arxiv.1406.5991,
  title  = {Effective spin-1/2 exchange interactions in Tb$_2$Ti$_2$O$_7$},
  author = {S. P. Mukherjee and S. H. Curnoe},
  journal= {arXiv preprint arXiv:1406.5991},
  year   = {2014}
}

Comments

10 pages, 2 figures

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