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The classical one-dimensional Heisenberg magnet in an external magnetic field. Transfer matrix formalism as an application of renormalization group theory “avant la lettre”

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  • Ruijgrok, Th.W.
  • Niemeijer, Th.

Abstract

The classical one-dimensional Heisenberg magnet is treated in the context of renormalization theory. This treatment is shown to be equivalent to the usual transfer matrix approach. If the chain consists of N spins, the original hamiltonian will, upon repeated application of the renormalization transformation, be transformed into N uncoupled spins described by N identical one-particle hamiltonians, Heff, which depends upon the original interaction and field.

Suggested Citation

  • Ruijgrok, Th.W. & Niemeijer, Th., 1976. "The classical one-dimensional Heisenberg magnet in an external magnetic field. Transfer matrix formalism as an application of renormalization group theory “avant la lettre”," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 84(2), pages 336-349.
    • Handle: RePEc:eee:phsmap:v:84:y:1976:i:2:p:336-349
    DOI: 10.1016/0378-4371(76)90005-4
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    References listed on IDEAS

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    1. Niemeijer, Th. & Ruijgrok, Th.W., 1975. "Renormalization group solution of the one-dimensional classical Heisenberg model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 81(3), pages 427-440.
    2. Irene Lurie, 1975. "Work or Welfare? Factors in the Choice for AFDC Mothers by Mildred Rein," Journal of Human Resources, University of Wisconsin Press, vol. 10(3), pages 407-409.
    3. Rao, C. H. Hanurmantha & Subbarao, K., 1976. "Marketing of Rice in India: An Analysis of the Impact of Producers' Prices on Small Farmers," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 31(2), April.
    4. Vincent P. Houghton & Tony E. Gear, 1975. "Towards a Management Science Perspective for Recurrent Education," Interfaces, INFORMS, vol. 5(2), pages 1-10, February.
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