Two-Magnon Bound States in the Heisenberg Ferromagnet with Anisotropic Exchange and Uniaxial Anisotropy Energies
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概要
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An exact theory for the two-magnon bound state problem in the Heisenberg ferromagnet with arbitrary spin S and arbitrary dimensionality is developed at absolute zero temperature. The Hamiltonian which describes the system is assumed to include a nearest neighboring anisotropic exchange interaction and a one-ion type anisotropy energy of the form of -DS^2_z(D>0). We are interested in the S≧1 cases where, besides the previous BHWF(Bethe-Hanus-Wortis-Fukuda)-type two-magnon bound state, there exists another type of two-magnon bound state in which the amplitude for finding two spin-deviations at the same site is maximum. In the case of a spin-1 ferromagnet this new single-ion type two-magnon bound state may be called the Ising-type two-magnon bound state. It is found that, when the value of D is sufficiently large, the single-ion type two-magnon bound state exists for each value of K (the total momentum of the magnon pair)inside the first Brillouin zone. In the S=1 case the Ising-type two-magnon bound state becomes the first excited state of the system for much larger values of D.A brief discussion concerning the ground state of the system described by our Hamiltonian is also given. It is shown that for the S≧1 cases, even when the minimum excitation energy of the single magnon state is positive, there exists the case where the state in which all spins point in the positive (or negative)z direction is unstable. Furthermore, an application of the present theory is made to anhydrous ferrous chloride with the assumption that this substance is a two-dimensional triangular spin-1 ferromagnet.
- 理論物理学刊行会の論文
- 1971-04-25
著者
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Tonegawa Takashi
Department Of Physics Faculty Of Science Kobe University
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Tonegawa Takashi
Department Of Earth And Environmental Sciences Graduate School Of Environmental Studies Nagoya Unive
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TONEGAWA Takashi
Department of Physics, Faculty of Science, Kobe University
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