Spin tunnelling in mesoscopic systems

Details Spin tunnelling in mesoscopic systems Spin tunnelling in mesoscopic systems

2000-12-09

arxiv.org/abs/cond-mat/0012148v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 5 figures, uses Pramana style files; conference proceedings article

Scientific paper

10.1007/s12043-001-0135-4

We study spin tunnelling in molecular magnets as an instance of a mesoscopic phenomenon, with special emphasis on the molecule Fe8. We show that the tunnel splitting between various pairs of Zeeman levels in this molecule oscillates as a function of applied magnetic field, vanishing completely at special points in the space of magnetic fields, known as diabolical points. This phenomena is explained in terms of two approaches, one based on spin-coherent-state path integrals, and the other on a generalization of the phase integral (or WKB) method to difference equations. Explicit formulas for the diabolical points are obtained for a model Hamiltonian.

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