Order induced by dipolar interactions in a geometrically frustrated antiferromagnet

Details Order induced by dipolar interactions in a geometrically frustrated antiferromagnet Order induced by dipolar interactions in a geometrically frustrated antiferromagnet

1999-12-31

arxiv.org/abs/cond-mat/9912494v1

Phys. Rev. B 62, 488 (2000).

Physics

Condensed Matter

5 pages, 5 figures, AMSLaTeX

Scientific paper

10.1103/PhysRevB.62.488

We study the classical Heisenberg model for spins on a pyrochlore lattice interacting via long range dipole-dipole forces and nearest neighbor exchange. Antiferromagnetic exchange alone is known not to induce ordering in this system. We analyze low temperature order resulting from the combined interactions, both by using a mean-field approach and by examining the energy cost of fluctuations about an ordered state. We discuss behavior as a function of the ratio of the dipolar and exchange interaction strengths and find two types of ordered phase. We relate our results to the recent experimental work and reproduce and extend the theoretical calculations on the pyrochlore compound, Gd$_2$Ti$_2$O$_7$, by Raju \textit{et al.}, Phys. Rev. B {\bf 59}, 14489 (1999).

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