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Ferromagnetism by the generator coordinate Method

Author

Listed:
  • Fiolhais, C.
  • da Providência, J.Pinheiro
  • Urbano, J.N.

Abstract

The Generator Coordinate Method is applied to construct a boson representation of the energy of a S = 12 ferromagnet near its ground-state. Considering one generator coordinate per lattice site the resulting representation coincides with the one obtained starting from the Dirac-Heisenberg Hamiltonian and using the Holstein-Primakoff transformation, expanded to all orders, inside the physical subspace. On the other hand, introducing generator coordinates to describe only the long-wavelength modes, we obtain a representation which can be consistently expanded until any desired order of approximation.

Suggested Citation

  • Fiolhais, C. & da Providência, J.Pinheiro & Urbano, J.N., 1979. "Ferromagnetism by the generator coordinate Method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 99(1), pages 251-267.
    • Handle: RePEc:eee:phsmap:v:99:y:1979:i:1:p:251-267
    DOI: 10.1016/0378-4371(79)90133-X
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    1. R. G. Wheeler, 1953. "Research in the Economics of Forestry, William A. Duerr and Henry J. Vaux, Editors, Washington, D.C.: The Charles Lathrop Pack Forestry Foundation, 1952. Pp. xi–475. $6.00," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 35(4), pages 640-642.
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    Cited by:

    1. Brajczewska, M. & Fiolhais, C. & Da Providência, J., 1986. "Thermal boson expansion for the Heisenberg ferromagnet," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 196-208.

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    1. Brito, L.P. & Ruivo, M.C. & Silva, E.M., 1979. "The generator coordinate method and the theory of metals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 95(2), pages 351-358.

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