Magnetic Properties of Undoped $C_{60}$

Details Magnetic Properties of Undoped $C_{60}$ Magnetic Properties of Undoped $C_{60}$

1992-06-26

arxiv.org/abs/cond-mat/9206010v1

Physics

Condensed Matter

12 pages, 3 figures (included)

Scientific paper

10.1103/PhysRevLett.69.176

The Heisenberg antiferromagnet, which arises from the large $U$ Hubbard model, is investigated on the $C_{60}$ molecule and other fullerenes. The connectivity of $C_{60}$ leads to an exotic classical ground state with nontrivial topology. We argue that there is no phase transition in the Hubbard model as a function of $U/t$, and thus the large $U$ solution is relevant for the physical case of intermediate coupling. The system undergoes a first order metamagnetic phase transition. We also consider the S=1/2 case using perturbation theory. Experimental tests are suggested.

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