NDLI: The complete two-magnon spectrum of the ferromagnetic Heisenberg chain including NNN interactions

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The complete two-magnon spectrum of the ferromagnetic Heisenberg chain including NNN interactions

Content Provider	Scilit
Author	Bahurmuz, A. A. Loly, P. D.
Copyright Year	1986
Description	Journal: Journal of Physics C: Solid State Physics A study of two-magnon bound states in the next-nearest-neighbour (NNN) ferromagnetic Heisenberg chain begun by Majumdar in 1969 is extended by finding the bound states and continuum resonances for all pair wave-vectors for eta $=J_{2}/J_{1}$ in the ferromagnetic range of eta =-1/4 to infinity. An exact Green function formalism is combined with the exact analytic results recently obtained by the authors for the lattice Green functions of the system to afford a definitive analysis. The Heisenberg case exhibits a modified nearest-neighbour (NN) type bound state throughout the range of eta studied and for total pair wave-vector $(K=k_{1}+k_{2}$) throughout the zone, in contrast to Majumdar who concluded that this was only the case for positive eta . The continuum also possesses a rich structure which is displayed via a shaded (grey-level) intensity plot in the ( omega , K) plane. An unexpected result is the presence of a second (anti-)bound state just above the continuum for negative eta . The evolution of the bound state and resonance structure is also examined for the transition to dominant NNN interactions. A general formulation is given which includes Ising and uniaxial anisotropies as well as biquadratic exchange for arbitrary range, dimension and Bravais lattice.
Related Links	http://iopscience.iop.org/article/10.1088/0022-3719/19/13/014/pdf
Ending Page	2252
Page Count	12
Starting Page	2241
ISSN	00223719
DOI	10.1088/0022-3719/19/13/014
Journal	Journal of Physics C: Solid State Physics
Issue Number	13
Volume Number	19
Language	English
Publisher	IOP Publishing
Publisher Date	1986-05-10
Access Restriction	Open
Subject Keyword	Journal: Journal of Physics C: Solid State Physics Condensed Matter Physics Bound States Green Function
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy Condensed Matter Physics Engineering

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