New Critical Exponent β of the XY Antiferromagnet on Stacked Triangular Lattice, CsMnBr<sub>3</sub>

Ajiro, Yoshitami; Nakashima, Takeshi; Unno, Yasuyuki; Kadowaki, Hiroko; Mekata, Mamoru; Achiwa, N.

doi:10.1143/jpsj.57.2648

Cited by 68 publications

(23 citation statements)

References 5 publications

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“…17,18 The spin model of Z 2 ϫS 1 corresponds to the frustrated XY triangular lattice antiferromagnet, whereas the other spin models are nonfrustrated systems. The experimental value for a model material of the XY triangular lattice antiferromagnet CsMnBr 3 is 0.25, 19 which agrees well with the predicted value. 20 The critical exponents depend on the universality class, which is determined by the symmetry of interaction, the dimensionally of the system, and the existence of frustration.…”

Section: A Nmr Spectrasupporting

confidence: 81%

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Magnetic ordering and spin dynamics in potassium jarosite: A Heisenberg kagomé lattice antiferromagnet

et al. 2003

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The spin dynamics of the Heisenberg kagomé lattice antiferromagnet, potassium jarosite KFe 3 (OH) 6 (SO 4 ) 2 , have been investigated by means of NMR. The NMR spectra confirm the long-range magnetic ordering below 65 K and the qϭ0 type 120°spin structure with positive chirality in the ordered phase. Though the Heisenberg kagomé lattice antiferromagnet is considered theoretically to remain disordered down to zero temperature due to the continuous degeneracy of the ground state, the long-range magnetic ordering at the finite temperature is realized in this compound due to the weak anisotropy. The spin-lattice relaxation rate, 1/T 1 , in the ordered phase decreases sharply with lowering temperature. The experimental rate is well explained by the twomagnon process of the spin waves having an energy gap of 15 K. The temperature dependence of the sublattice magnetization also supports the existence of the spin wave. These are the first experimental evidence that the low-energy excitation in the frustrated classical kagomé lattice antiferromagnet is described by the spin wave. We calculate the spin wave in the qϭ0 type 120°spin structure with weak single-ion-type anisotropy, and discuss the characteristics of the spin fluctuations in the Heisenberg kagomé lattice antiferromagnet.

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Section: A Nmr Spectrasupporting

confidence: 81%

“…The jarosite family compounds, RFe 3 (OH) 6 (SO 4 ) 2 and RCr 3 (OH) 6 (SO 4 ) 2 ͓RϭK, Na, NH 4 , etc.͔, and the magnetoplumbite isomorph, SrCr 8Ϫx Ga 4ϩx O 19 , are candidates for the kagomé lattice antiferromagnets.…”

Section: Introductionmentioning

confidence: 99%

Magnetic ordering and spin dynamics in potassium jarosite: A Heisenberg kagomé lattice antiferromagnet

et al. 2003

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“…Ising magnets on a stacked triangular lattice are a frustrated system and have been studied theoretically 31,32 and experimentally. 33 In particular, a Monte Carlo (MC) S=∞ simulation studymagnetization, |M|, exhibits the two-step transition that is qualitative similar to T * and T c seen the with the theoretical study 32 that is confirmed in the neutron diffraction. 33 Another critical exponent ν=0.53 of the model 32 can also be considered as indicated by the solid red line in While the overall averaged structure has well-defined symmetry, unit cell, and atomic positions, we have shown that certain modes undergo a glass-like transition behavior, evident in dynamics of the system probably due to the complex nature of the trimerization.…”

Section: Resultsmentioning

confidence: 60%

“…33 In particular, a Monte Carlo (MC) S=∞ simulation studymagnetization, |M|, exhibits the two-step transition that is qualitative similar to T * and T c seen the with the theoretical study 32 that is confirmed in the neutron diffraction. 33 Another critical exponent ν=0.53 of the model 32 can also be considered as indicated by the solid red line in While the overall averaged structure has well-defined symmetry, unit cell, and atomic positions, we have shown that certain modes undergo a glass-like transition behavior, evident in dynamics of the system probably due to the complex nature of the trimerization. On the other hand, it could simply be like the glass transition, 32 which is often characterized by dynamic behavior without identifiable specific mode(s) or many modes are entangled to form a glassy state similar to spinglass type disordering.…”

Section: Resultsmentioning

confidence: 60%

Partial glass isosymmetry transition in multiferroic hexagonalErMnO3

et al. 2016

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Ferroelectric transitions of a hexagonal multiferroic, ErMnO 3 , are studied by x-ray scattering techniques. An isosymmetry transition, similar to that previously observed for YMnO 3 , approximately 300 K below the well-known ferroic transition temperature is investigated. The partial glassy behavior of the isosymmetry transition is identified by appearance of quasi-elastic scattering lines in high-energy-resolution scans. The glassy behavior is further supported by the increased interlayer decorrelation of (√3×√3)R30º ordering below the isosymmetry transition.The transition behavior is considered for possible hidden sluggish modes and two-step phase transitions theoretically predicted for the stacked triangular antiferromagnets. The in-plane azimuthal (orientational) ordering behaviors were also compared to the theoretical predictions. Coherent x-ray speckle measurements show unambiguously that the domain sizes decrease anomalously near both the isosymmetry and ferroic transitions. However, domain boundary fluctuations increase monotonically with an Arrhenius form with an activation energy of 0.54(5) eV through both transitions.

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“…All agree concerning the exponent β which comes around 0. 25 c , and/or with mutually different correlation-length exponents, ν = ν κ . From the standard theory of critical phenomena, however, this is a rather unlikely situation in the present 3D problem due to the following reason.…”

Section: (F) Further Generalization Of Noncollinear Transitionsmentioning

confidence: 99%

Untitled

Kawamura¹

1998

J. Phys.: Condens. Matter

340

470

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Recent theoretical and experimental studies on the critical properties of frustrated antiferromagnets with the noncollinear spin order, including stacked-triangular antiferromagnets and helimagnets, are reviewed. Particular emphasis is put on the novel critical and multicritical behaviors exhibited by these magnets, together with an important role played by the 'chirality'. §1. Introduction Phase transitions and critical phenomena have been a central issue of statistical physics for many years. In particular, phase transitions of magnets or of 'spin systems' have attracted special interest. Thanks to extensive theoretical and experimental studies, we now have rather good understanding of the nature of phase transitions of standard ferromagnets and antiferromagnets. By the term 'standard', I mean here regular and unfrustrated magnets without quenched disorder and frustration. They include ferromagnets and unfrustrated antiferromagnets with the collinear spin order.One key notion which emerged through these studies is the notion of universality. According to the universality hypothesis, a variety of continuous (or secondorder) phase transitions can be classified into a small number of universality classes determined by a few basic properties characterizing the system under study, such as the space dimensionality d, the symmetry of the order parameter and the range of interaction. If one is interested only in the so-called universal quantities, such as critical exponents, amplitude ratios and scaled equation of state, various phase transitions should exhibit exactly the same behavior. In the case of standard bulk magnets in three spatial dimensions (d = 3), universality class is basically determined by the number of the spin components, n. Physically, the index n is related to the type of magnetic anisotropy: Namely, n = 1 (Ising), n = 2 (XY ) and n = 3 (Heisenberg) correspond to magnets with easy-axis-type anisotropy, easy-plane-type anisotropy and no anisotropy (isotropic magnets), respectively. The critical properties associated with these n-component O(n) universality classes have been extensively studied and are now rather well understood. From the renormalization-group (RG) viewpoint, these critical properties are governed by the so-called Wilson-Fisher O(n) fixed point.

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New Critical Exponent β of the XY Antiferromagnet on Stacked Triangular Lattice, CsMnBr₃

Cited by 68 publications

References 5 publications

Magnetic ordering and spin dynamics in potassium jarosite: A Heisenberg kagomé lattice antiferromagnet

Magnetic ordering and spin dynamics in potassium jarosite: A Heisenberg kagomé lattice antiferromagnet

Partial glass isosymmetry transition in multiferroic hexagonalErMnO3

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New Critical Exponent β of the XY Antiferromagnet on Stacked Triangular Lattice, CsMnBr3

Cited by 68 publications

References 5 publications

Magnetic ordering and spin dynamics in potassium jarosite: A Heisenberg kagomé lattice antiferromagnet

Magnetic ordering and spin dynamics in potassium jarosite: A Heisenberg kagomé lattice antiferromagnet

Partial glass isosymmetry transition in multiferroic hexagonalErMnO3

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New Critical Exponent β of the XY Antiferromagnet on Stacked Triangular Lattice, CsMnBr₃