2017
DOI: 10.1103/physrevmaterials.1.044406
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Microscopic aspects of magnetic lattice demagnetizing factors

Abstract: The demagnetizing factor N is of both conceptual interest and practical importance. Considering localized magnetic moments on a lattice, we show that for nonellipsoidal samples, N depends on the spin dimensionality (Ising, XY, or Heisenberg) and orientation, as well as the sample shape and susceptibility. The generality of this result is demonstrated by means of a recursive analytic calculation as well as detailed Monte Carlo simulations of realistic model spin Hamiltonians. As an important check and applicati… Show more

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Cited by 10 publications
(24 citation statements)
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“…(9) only once, we obtain a relation for the magnetic fields in the two models,which has exactly the same form as the definition of the demagnetising field with the demagnetising factor equal to θ / C . The demagnetising transformation is a sensitive function of the demagnetising factor 22 , and evidently a similar sensitivity arises in our phenomenological model.…”
Section: Resultssupporting
confidence: 78%
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“…(9) only once, we obtain a relation for the magnetic fields in the two models,which has exactly the same form as the definition of the demagnetising field with the demagnetising factor equal to θ / C . The demagnetising transformation is a sensitive function of the demagnetising factor 22 , and evidently a similar sensitivity arises in our phenomenological model.…”
Section: Resultssupporting
confidence: 78%
“…For frustrated systems with strong FM interactions, a major challenge is to control demagnetising effects 22 . This makes the canonical frustrated ferromagnet spin ice 6, 7, 2327 Dy 2 Ti 2 O 7 a natural starting point to explore the physics of competing FM–AF interactions.…”
Section: Resultsmentioning
confidence: 99%
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“…This is despite the fact that the χ dependence of N was calculated [5,6] nearly 20 years ago using a finite-element method to solve the field equations. We and coworkers more recently introduced an alternative, iterative microscopic method, along with a brute-force Monte Carlo calculation [3], and the predicted χ dependence of N was also supported by direct measurements on cuboids of the spin ice compound Dy 2 Ti 2 O 7 . However, as already mentioned, in addition to the χ dependence of N, Ref.…”
mentioning
confidence: 79%