Journal
PHYSICAL REVIEW MATERIALS
Volume 1, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevMaterials.1.044406
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Funding
- Swedish Research Council [2013-03968]
- Stiftelsen Olle Engkvist Byggmastare [2014/807]
- Leverhulme Trust [ECF2014-284]
- Canada Research Chair program
- Perimeter Institute for Theoretical Physics
- Government of Canada through Innovation, Science, and Economic Development Canada
- Province of Ontario through the Ministry of Research, Innovation, and Science
- Swedish Research Council [2013-03968] Funding Source: Swedish Research Council
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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 application, we also make an accurate experimental determination of N for a representative collective paramagnet (i.e., the Dy2Ti2O7 spin ice compound) and show that the temperature dependence of the experimentally determined N agrees closely with our theoretical calculations. Our conclusion is that the well-established practice of approximating the true sample shape with corresponding ellipsoids for systems with long-range interactions will in many cases overlook important effects stemming from the microscopic aspects of the system under consideration.
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