Semiclassical mechanics of a non-integrable spin cluster

Details Semiclassical mechanics of a non-integrable spin cluster Semiclassical mechanics of a non-integrable spin cluster

1999-08-03

arxiv.org/abs/cond-mat/9908055v1

Phys. Rev. B 60, 15179--15186 (1999)

Physics

Condensed Matter

9 pages. For related works see "http://www.msc.cornell.edu/~clh/clh.html"

Scientific paper

10.1103/PhysRevB.60.15179

We study detailed classical-quantum correspondence for a cluster system of three spins with single-axis anisotropic exchange coupling. With autoregressive spectral estimation, we find oscillating terms in the quantum density of states caused by classical periodic orbits: in the slowly varying part of the density of states we see signs of nontrivial topology changes happening to the energy surface as the energy is varied. Also, we can explain the hierarchy of quantum energy levels near the ferromagnetic and antiferromagnetic states with EKB quantization to explain large structures and tunneling to explain small structures.

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