The two-magnon spectrum for the Heisenberg ferromagnet with NN interactions on a square lattice
- 30 August 1986
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 19 (24) , 4729-4740
- https://doi.org/10.1088/0022-3719/19/24/015
Abstract
The two-magnon spectrum of the nearest-neighbour Heisenberg ferromagnet on a square lattice is studied. An exact Green function formalism is used to obtain the spectral functions at zero temperature. The lattice Green functions of this system are written in terms of elliptic integrals. The behaviour of the spectral functions at the critical points is studied analytically. Plots of the spectral functions against energy are given for some values of the wave-vector and their various features are discussed. Comparisons with the analogous 3D and 1D systems are made.Keywords
This publication has 15 references indexed in Scilit:
- The complete two-magnon spectrum of the ferromagnetic Heisenberg chain including NNN interactionsJournal of Physics C: Solid State Physics, 1986
- Two-magnon excitations in the Heisenberg ferromagnet with uniaxial anisotropyPhysical Review B, 1980
- Dynamics of two-magnon resonances in the absence of bound statesPhysical Review B, 1980
- Two-magnon spectra and Ising anisotropy: The relationship between resonances and bound statesPhysical Review B, 1976
- Magnetic measurements on (C2H5NH3)2 CuCl4Physica, 1972
- Lattice Green's Functions for the Rectangular and the Square Lattices at Arbitrary PointsJournal of Mathematical Physics, 1971
- Useful Procedure for Computing the Lattice Green's Function-Square, Tetragonal, and bcc LatticesJournal of Mathematical Physics, 1971
- The effects of magnon-magnon interaction on the two-magnon spectra of antiferromagnetsJournal of Physics C: Solid State Physics, 1969
- Bound States in the Heisenberg FerromagnetPhysical Review Letters, 1963
- The Occurrence of Singularities in the Elastic Frequency Distribution of a CrystalPhysical Review B, 1953