Bound States in the Heisenberg Ferromagnet

1963 ◽  
Vol 11 (7) ◽  
pp. 336-338 ◽  
Author(s):  
Jean Hanus
Keyword(s):  
Bound States ◽  
Heisenberg Ferromagnet

SPECTRA AND BOUND STATES OF THE ENERGY OPERATOR OF TWO-MAGNON SYSTEM IN A NON-HEISENBERG FERROMAGNET WITH SPIN S = 3/2 AND NEAREST-NEIGHBOR INTERACTIONS

2009 ◽  
Vol 12 (01) ◽  
pp. 117-133
Author(s):  
S. M. TASHPULATOV
Keyword(s):  
Energy Spectrum ◽  
Bound States ◽  
Nearest Neighbor ◽  
Energy Operator ◽  
Heisenberg Ferromagnet ◽  
Dimensional Lattice ◽  
Quasi Momentum ◽  
Hamiltonian Parameters

We consider a two-magnon systems in an ν-dimensional isotropic non-Heisenberg ferromagnet with spin value S = 3/2 and nearest-neighbor interactions. Spectrum and bound states (BS) of the system for all values of full quasi-momentum Λ, and for arbitrary value of lattice dimensionality ν, and for all values of Hamiltonian parameters are investigated. We show that (i) for arbitrary ν ≥ 2 and for full quasi-momentum in the form Λ = (Λ1; Λ2; … ;Λν) = (Λ0;Λ0; …; Λ0) the change of energy spectrum of the system is similar to that observed in the case of ν = 1. In this case the operator [Formula: see text] with J + J1 - 23J2 ≠ 0 has only one additional BS. (ii) The energy z of this additional BS is degenerate ν - 1 times. (iii) If Λ ≠ (Λ0;Λ0;…;Λ0), we show the existence no more 2ν + 1 bound states in the system in ν-dimensional lattice.

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