Effective spin-1/2 exchange interactions in Tb2Ti2O7
Abstract
We derive an effective spin-1/2 exchange model for non-Kramers Tb3+ states in the pyrochlore Tb2Ti2O7. 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 Tb2Ti2O7 is described by a quantum spin ice Hamiltonian.
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