Princeton University

Antiferromagnetism on the Pyrochlore Lattice

Abstract: The pyrochlore lattice is a commonly found structure consisting of a network of corner sharing tetrahedra. This geometry causes antiferromagnetic interactions to be highly frustrated. I will review a set of recent results on antiferromagnets on this lattice. These include i) a fairly complete understanding of the low temperature behavior of classical O(N) at all N, ii) an explanation of why the "spin ice" compounds with their long ranged dipolar interactions exhibit a macroscopic low temperature entropy, iii) the magnetization process of spin ice in a [111] magnetic field, iv) the existence of Jahn-Teller phases that lift the magnetic frustration, and v) large N treatments of the S=1/2, quantum, case.