The SU(3) symmetry and macroscopic dynamics of magnets with spin s = 1

Kovalevskii, M. Yu.

doi:10.1007/s11232-011-0088-9

Cited by 2 publications

(2 citation statements)

References 22 publications

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“…Let's consider some particular cases of asymptotics (21). At ω = 0, k = 0, we can see that, in accordance with the Bogolyubov's theorem [23], Green's functions G sα,s β (k, 0) and G q αβ ,qγρ (k, 0) have a singularity…”

Section: Dynamics Of Quadrupole and Ferromagnetic States In An Extern...mentioning

confidence: 73%

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Exchange symmetry and low-frequency asymptotics of Green's functions in spin s=1 magnets

Glushchenko,

Kovalevsky,

Logvinova

et al. 2016

Preprint

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The paper contains the description of the dynamics of non-equilibrium processes of spin s = 1 magnets in an external variable field. We have obtained nonlinear dynamic equations with sources and calculated low-frequency asymptotics of two-time Green's functions for ferro-and quadrupole magnetic states with SO(3) and SU (3) exchange symmetry of the Hamiltonian. It has been shown that for ferro-and quadrupole magnetic states singularities of Green's functions in wave vectors 1/k, 1/k 2 and frequencies 1/ω, 1/ω 2 have well-known character. We set the exact form of the magnetic anisotropy of these Green's functions. For states with SO(3) symmetry of the exchange Hamiltonian, we have found Green's functions with quadrupole degrees of freedom and compared them with Green's functions of magnets having exchange SU (3) symmetry.

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Section: Dynamics Of Quadrupole and Ferromagnetic States In An Extern...mentioning

confidence: 73%

“…In the exchange approximation, the dispersion of spin and quadrupole waves is quadratic function of wave vector [19,20]. In papers [20][21][22], it was considered the influence of dissipative processes and established the form of relaxation flows, and found damping coefficients of collective excitation spectra.…”

mentioning

confidence: 99%

Exchange symmetry and low-frequency asymptotics of Green's functions in spin s=1 magnets

Glushchenko,

Kovalevsky,

Logvinova

et al. 2016

Preprint

View full text Add to dashboard Cite

show abstract

Dynamics and relaxation in spin nematics

et al. 2013

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We study dynamics and relaxation of elementary excitations (magnons) in the spin nematic (quadrupole ordered) phase of S=1 magnets. We develop a general phenomenological theory of spin dynamics and relaxation for spin-1 systems. Results of the phenomenological approach are compared to those obtained by microscopic calculations for the specific S=1 model with isotropic bilinear and biquadratic exchange interactions. This model exhibits a rich behavior depending on the ratio of bilinear and biquadratic exchange constants, including several points with an enhanced symmetry. It is shown that symmetry plays an important role in relaxation. Particularly, at the SU(3) ferromagnetic point the magnon damping $\Gamma$ depends on its wavevector k as $\Gamma\propto k^{4}$, while a deviation from the high-symmetry point changes the behavior of the leading term to $\Gamma\propto k^{2}$. We point out a similarity between the behavior of magnon relaxation in spin nematics to that in an isotropic ferromagnet.Comment: the final published versio

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The SU(3) symmetry and macroscopic dynamics of magnets with spin s = 1

Cited by 2 publications

References 22 publications

Exchange symmetry and low-frequency asymptotics of Green's functions in spin s=1 magnets

Exchange symmetry and low-frequency asymptotics of Green's functions in spin s=1 magnets

Dynamics and relaxation in spin nematics

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