Quantum corrections to the Ising interactions in LiYxHo1-xF4
Citation:
Quantum corrections to the Ising interactions in LiYxHo1-xF4, B. Barbara, Y. Imry, G. Sawatzky P. C. E. Stamp, Quantum Magnetism, Dordrecht, Springer, 2008, 57 - 66, A. Chin and P. R. EasthamDownload Item:
Abstract:
We systematically derive an effective Hamiltonian for the dipolar magnet LiY1?xHoxF4, including
quantum corrections which arise from the transverse dipolar and hyperfine interactions. These
corrections are derived using a generalised Schrieffer-Wolff transformation to leading order in the
small parameters given by the ratio of the interaction energies to the energy of the first excited
electronic state of the Holmium ions. The resulting low-energy Hamiltonian involves two-level
systems, corresponding to the low-lying electronic states of the Holmiums, which are coupled to one
another and to the Holmium nuclei. It differs from that obtained by treating the electronic states
of the Holmium as a spin-1/2 with an anisotropic g-factor. It includes effective on-site transverse
fields, and both pairwise and three-body interactions among the dipoles and nuclei. We explain the
origins of the terms, and give numerical values for their strengths.
Author's Homepage:
http://people.tcd.ie/easthampDescription:
PUBLISHEDDordrecht
Author: EASTHAM, PAUL
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Quantum MagnetismPublisher:
SpringerType of material:
Book ChapterCollections
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Full text availableKeywords:
Particles and fields physics, Holmium ionsISSN:
9781402085123Metadata
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