Elementary excitations and low-temperature behavior of the Heisenberg magnet with three or four sublattices

Pavkov, M.; Škrinjar, M. J.; Kapor, D.; Stojanović, S.

doi:10.1103/physrevb.62.6385

Cited by 11 publications

(14 citation statements)

References 5 publications

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“…2, three energy spectra branches 1 ω , 2 ω and 3 ω exist in the system. The present results differ from those of the previous work by Pavkov et al using the Holstein-Primakoff transformation and the simple unitary transformation [27,28], which showed that the three-layer superlattices or threesublattices contained six energy branches. Among all the solutions of Pavkov et al's work, which gave three positive and three negative energy branches, only three positive magnon excitations have correct physical interpretation.…”

Section: Original Papercontrasting

confidence: 99%

“…Barnas [24] analyzed theoretically the spin-wave spectrum of infinite, semi-infinite, and finite ferromagnetic superlattices with arbitrary elementary units by method of the transfer-matrix formalism. The spin-wave spectra of three-and four-layer superlattices and three-and four-sublattices were studied analytically, by using the bosonisation Holstein-Primakoff transformation in the linear spin-wave approximation and the Bogoliubov transformation [25,26] or a simple unitary transformation [27,28]. In our previous work [31], the magnon energy band was studied for a ferrimagnetic superlattice with three layers in a unit cell.…”

Section: Introductionmentioning

confidence: 99%

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Magnon energy gap in a three‐layer ferromagnetic superlattice

Qiu

Zhang

Han

et al. 2007

Physica Status Solidi (b)

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The magnon energy band in a three-layer ferromagnetic superlattice is studied by using the linear spinwave approach and Green's function technique. It is found that two modulated energy gaps exist in the magnon energy band along K x direction perpendicular to the plane of the superlattice. The spin quantum numbers and the interlayer exchange couplings all affect the two energy gaps. The disappearance of one of the energy gaps corresponds to a high symmetry among the interlayer exchange couplings, while the vanishing of another energy gap corresponds to a high symmetry of the system, which belongs to the type III Shubnikov group or the polychromatic group of magnetic group. This magnetically structural symmetry includes not only the symmetry of crystallographic point-groups or space-groups, but also the symmetry of strength and direction of spins. Comparing with the previous results for a three-layer ferrimagnetic superlattice, it is concluded that the energy gap of the ferromagnetic/ferrimagnetic superlattices is dominated by different symmetries originated from ferromagnetic/antiferromagnetic interlayer exchange couplings.

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Section: Original Papercontrasting

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Magnon energy gap in a three‐layer ferromagnetic superlattice

Qiu

Zhang

Han

et al. 2007

Physica Status Solidi (b)

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“…However, for a complex magnetic structure with a magnetic unit cell containing more than two spins, it is still a severely challenging task to analytically solve the spin wave excitations even though lots of efforts have been devoted in the past. [26][27][28][29] One thus has to be satisfied with numerical solutions. The underlying difficulty is as follows.…”

Section: Spin Dynamicsmentioning

confidence: 99%

Spin wave excitations in AFe_1.5Se₂(A = K, Tl): analytical study

Gao¹,

Yan²,

Lu³

2012

J. Phys.: Condens. Matter

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We have analytically solved the spin wave excitations for the intercalated ternary iron-selenide AFe1.5Se2 (A=K, Tl) in the 4 × 2 collinear antiferromagnetic order. It is found that there are one acoustic branch (gapless Goldstone mode) and two gapful optical branches of spin wave excitations with each in double degeneracy. By examining the non-imaginary excitation frequency condition, we can determine the corresponding phase boundary. The exchange couplings between Fe moments in AFe1.5Se2 are derived based on the first-principles total energy calculations. The Fe spin is found to be S = 3 2 through computing the antiferromagnetic quantum fluctuation. And it is further found that a very small spin-orientation anisotropy can remarkably suppress the antiferromagnetic quantum fluctuation. The spin dynamical structure factors are calculated and discussed in associated with neutron inelastic scattering experiment.

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“…In previous work [19], the spin-wave spectra in three-and four-layer superlattices were studied analytically by developing a complicated diagonalization procedure in terms of creation and annihilation operators. Pavkov et al [20] found that the Bogoljubov and Tyablikov transformation could be used to diagonal analytically the Hamiltonian of three or four sublattice systems in a simpler manner. However, the results in Refs.…”

Section: Introductionmentioning

confidence: 99%