Low-temperature phonoemissive tunneling rates in single molecule magnets

Journal Article · Tue Mar 15 00:00:00 EDT 2016 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2016.01.003· OSTI ID:22560303

Liu, Yun ^[1]; Garg, Anupam ^[2]

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1. University of Illinois, Department of Physics, 1110 W. Green St., Urbana, IL 61801 (United States)
2. Northwestern University, Department of Physics and Astronomy, 2145 Sheridan Rd., Evanston, IL 60208 (United States)

Tunneling between the two lowest energy levels of single molecule magnets with Ising type anisotropy, accompanied by the emission or absorption of phonons, is considered. Quantitatively accurate calculations of the rates for such tunneling are performed for a model Hamiltonian especially relevant to the best studied example, Fe{sub 8}. Two different methods are used: high-order perturbation theory in the spin–phonon interaction and the non-Ising-symmetric parts of the spin Hamiltonian, and a novel semiclassical approach based on spin-coherent-state-path-integral instantons. The methods are found to be in good quantitative agreement with other, and consistent with previous approaches to the problem. The implications of these results for magnetization of molecular solids of these molecules are discussed briefly.

• OSTI ID: 22560303
• Journal Information: Annals of Physics, Vol. 366, Issue Complete; Other Information: Copyright (c) 2016 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ABSORPTION
ANISOTROPY
ANNIHILATION OPERATORS
EIGENSTATES
EMISSION
ENERGY LEVELS
HAMILTONIANS
INSTANTONS
MAGNETIZATION
MAGNETS
MOLECULES
PATH INTEGRALS
PERTURBATION THEORY
PHONONS
SEMICLASSICAL APPROXIMATION
SPIN
TUNNEL EFFECT