Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2004-04-06
Phys. Rev. Lett. 93, 077208 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
some changes in the text; to appear in Phys. Rev. Lett
Scientific paper
10.1103/PhysRevLett.93.077208
We discuss the ground state of a pyrochlore lattice of threefold-orbitally-degenerate $S=1/2$ magnetic ions. We derive an effective spin-orbital Hamiltonian and show that the orbital degrees of freedom can modulate the spin exchange, removing the infinite spin-degeneracy characteristic of pyrochlore structures. The resulting state is a collection of spin-singlet dimers, with a residual degeneracy due to their relative orientation. This latter is lifted by a magneto-elastic interaction, induced in the spin-singlet phase-space, that forces a tetragonal distortion. Such a theory provides an explanation for the helical spin-singlet pattern observed in the B-spinel MgTi$_2$O$_4$.
Jackeli George
Lacroix Claudine
Matteo Sergio Di
Perkins Natalia B.
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