Oscillatory Tunnel Splittings in Spin Systems: A Discrete Wentzel-Kramers-Brillouin Approach
Condensed Matter
2009-10-31 v1 Mathematical Physics
math.MP
Abstract
Certain spin Hamiltonians that give rise to tunnel splittings that are viewed in terms of interfering instanton trajectories, are restudied using a discrete WKB method, that is more elementary, and also yields wavefunctions and preexponential factors for the splittings. A novel turning point inside the classically forbidden region is analysed, and a general formula is obtained for the splittings. The result is appled to the \Fe8 system. A previous result for the oscillation of the ground state splitting with external magnetic field is extended to higher levels.
Cite
@article{arxiv.cond-mat/9907152,
title = {Oscillatory Tunnel Splittings in Spin Systems: A Discrete Wentzel-Kramers-Brillouin Approach},
author = {Anupam Garg},
journal= {arXiv preprint arXiv:cond-mat/9907152},
year = {2009}
}
Comments
RevTex, one ps figure