Low-energy spin waves for impure Heisenberg ferromagnets

Murray, Galen

doi:10.1088/0370-1328/89/1/316

Cited by 56 publications

(17 citation statements)

References 8 publications

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“…Spin waves in Heisenberg ferromagnets, in the lowenergy limit, were studied theoretically as early as the sixties by Murray 8 . The author calculated the spin wave energies and the scattering cross section, within the Born approximation, and reported a q 5 scaling of the magnon lifetime.…”

Section: Introductionmentioning

confidence: 99%

Lifetimes of magnons in two-dimensional diluted ferromagnetic systems

Chakraborty¹,

Wenk²,

Schliemann³

2015

Eur. Phys. J. B

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Spin dynamics in low dimensional magnetic systems has been of fundamental importance for a long time and has currently received an impetus owing to the emerging field of nanoelectronics. Knowledge of the spin wave lifetimes, in particular, can be favorable for future potential applications. We investigate the low-temperature spin wave excitations in two-dimensional disordered ferromagnetic systems, with a particular focus on the long wavelength magnon lifetimes. A semianalytical Green's functions based approach is used to determine the dynamical spectral functions, for different magnetic impurity concentrations, from which the intrinsic linewidth is extracted. We obtain an unambiguous q 4 scaling of the magnon linewidth which is ascribed to the disorder induced damping of the spin waves, thereby settling a longstanding unresolved issue on the wave-vector dependence. Our findings are also in good agreement with previous theoretical studies on Heisenberg ferromagnets. Additionally, we demonstrate the futility of using the low moments associated with the spectral densities to evaluate the magnon dispersions and lifetimes.

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Section: Introductionmentioning

confidence: 99%

Lifetimes of magnons in two-dimensional diluted ferromagnetic systems

Chakraborty¹,

Wenk²,

Schliemann³

2015

Eur. Phys. J. B

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“…We are therefore led to associate the anomalous behaviour of D(c) near 25% Fe with atomic ordering. A simple calculation in terms of the Heisenberg nearest-neighbours-only model was made in order to examine the contribution of ordering to the value of D. The expression of Murray (1966) for the zero-order value of the energy of the single spin wave state was modified as described in the appendix. The FCC lattice can be thought of as composed of four sc sublattices and ordering is discussed in terms of the occupation of these sublattices.…”

Section: Resultsmentioning

confidence: 99%

Finite Groups With Three Classes of Maximal Subgroups

Белоногов¹

1988

Math. USSR Sb.

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“…7. For sufficiently long-wavelength spin waves, arguments9 based on the weakness of spin-wave scattering suggest the following first order choice for b (n,@) first given by Murray:7…”

Section: The Unrestricted Variational Methodsmentioning

confidence: 99%

Spin Waves in the Dilute Heisenberg Ferromagnet

Kumar¹,

Harris²

1972

AIP Conference Proceedings

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The energy of long wave length spin waves in dilute Heisenberg ferromagnets is calculated. It is shown that spin waves can exist only within an infinite cluster of magnetic spins and that such spin waves are mechanically stable. Heuristic arguments based on dimensionality of the infinite cluster imply that there is no thermal instability of the type discussed by Mermin and Wagner. Thus, the critical concentration for ferromagnetism is essentially equal to percolation concentration. It is shown that spin waves can exist only within an infinite cluster of magnetic spins and that such spin waves are mechanically stable. Heuristic arguments based on dimensionality of the infinite cluster imply that there is no thermal instability of the type discussed by Mermin and Wagner. Thus, the critical concentration for ferromagnetism is essentially equal to percolation concentration. Disciplines

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Low-energy spin waves for impure Heisenberg ferromagnets

Cited by 56 publications

References 8 publications

Lifetimes of magnons in two-dimensional diluted ferromagnetic systems

Lifetimes of magnons in two-dimensional diluted ferromagnetic systems

Finite Groups With Three Classes of Maximal Subgroups

Spin Waves in the Dilute Heisenberg Ferromagnet

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