Critical dynamics and relaxation of elementary excitations of the nematic phase of a non-heisenberg magnet with spin S = 1

Butrim, V. I.; Иванов, Б. А.; Kuznetsov, A. S.

doi:10.1134/s0021364010150063

Cited by 11 publications

(4 citation statements)

References 13 publications

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“…Further, if k ≫ k 0 , then k 0 can be neglected in the equation for the mass surface as well, and then the result for the damping under the assumptions ( 52), ( 53) can be easily obtained as follows: At δ = 0 this result reduces to the one found before for the SU (3) symmetric case. 22 The appearance of the logarithm above is similar to the well known result for isotropic ferromagnets. 57 Comparing (55) to the phenomenological result (40), one can see that it is possible to match those two expressions if one sets the correspondence…”

Section: Microscopic Analysis Of the Bilinear-biquadratic Modelsupporting

confidence: 84%

“…The static and dynamic properties of spin nematics have attracted much interest of researchers during last two decades. 8,[10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27] This interest has received a new boost recently, mainly in the context of spinor Bose-Einstein condensates (BECs). 28 Optically trapped ultracold gases provide a unique highly controllable environment opening an exciting route for simulating a wide range of strongly correlated systems including quantum magnets.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Microscopic Analysis Of the Bilinear-biquadratic Modelsupporting

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Dynamics and relaxation in spin nematics

et al. 2013

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“…The equilibriums were analyzed, and the dynamics in such magnets were studied. In [17], [18], non-one-dimensional solitonic states near the SU (3) point were constructed, and the perturbation spectra were then shown to exhibit a Goldstone behavior, with their decay satisfying the Adler principle. Because of the Hermiticity and the normalization condition for the density matrix in the case of mixed (noncoherent) states, the number of such parameters is N mix (s) = 4s(s + 1).…”

Section: Introductionmentioning

confidence: 99%

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

Kovalevskii

2011

Theor Math Phys

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In the Hamiltonian approach, we derive nonlinear dynamic equations for magnetic media with spin s = 1. We introduce two types of magnetic exchange Hamiltonians corresponding to the Casimir invariants of the SU(3) group. We find the spectra of spin and quadrupole waves corresponding to the states with different symmetries under the time reversal transformation. We consider the effect of dissipative processes and find relaxation fluxes caused by the exchange symmetry of the magnetic Hamiltonian.

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“…Thus, the nematic states for spin S = 1 have been studied fairly extensively: the interactions of elemen tary excitations and the relaxation processes were investigated for them [19,[33][34][35][36], and nonlinear exci tations, solitons, were found [37][38][39][40]. Both one dimensional solitons [37,38] that resemble the Lieb states of a nonideal Bose gas [41] discovered many years ago and topological two dimensional solitons [39,40] were obtained.…”

Section: Introductionmentioning

confidence: 99%

Dynamic properties of magnets with spin S = 3/2 and non-Heisenberg isotropic interaction

Kosmachev

Fridman

Галкина

et al. 2015

J. Exp. Theor. Phys.

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The dynamic properties of a magnet with magnetic ion spin of 3/2 and an isotropic spin interac tion of a general form have been investigated. Only four phase states can be realized in the system under con sideration at various relationships between the material parameters: the ferro and antiferromagnetic phases with saturated spin and the states with tensor order parameters, the nematic and antinematic ones. For these phases, the spontaneous symmetry breaking is determined by the octupole order parameter containing the mean values trilinear in spin operator components at a given site. The spectra of elementary excitations have been determined in all phases. Additional branches of excitations arise in all four phase states

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Critical dynamics and relaxation of elementary excitations of the nematic phase of a non-heisenberg magnet with spin S = 1

Cited by 11 publications

References 13 publications

Dynamics and relaxation in spin nematics

Dynamics and relaxation in spin nematics

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

Dynamic properties of magnets with spin S = 3/2 and non-Heisenberg isotropic interaction

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