Phase Transitions in the Frustrated ABX<sub>3</sub> Compounds

Ajiro, Yoshitami; Kikuchi, Hikomitsu; Nakashima, Takeru; Unno, Yasuyuki

doi:10.7567/jjaps.26s3.775

Jpn. J. Appl. Phys.

1987

DOI: 10.7567/jjaps.26s3.775

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Phase Transitions in the Frustrated ABX₃ Compounds

Yoshitami Ajiro

Hikomitsu Kikuchi

Takeru Nakashima

et al.

Abstract: In connection with the spin frustration, the phase transitions of hexagonal ABX3 compounds are experimentally studied. For the XY-like CsMnBr3, it is revealed that the phase transition belongs to a new universal class governed by Z2×S1 symmetry. It is also revealed that though the phase transition is well established, the ordered phase in this substance as well as the intermediate phases in the Ising-like CsCoCl3, CsCoBr3 and CsNiCl3 dynamically fluctuate in a time scale slightly longer than the observation ti… Show more

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“…If the anisotropy of the magnetic ions is of easy-plane type CYF-like), the spins form a 120° structure in the basal plane, and the antiferromagnetic phase transition belongs to the n = 2 chiral universality class, whereas for systems without single-ion anisotropy, the transition is governed by the «=3 (Heisenberg) chiral universality class. One well-examined example for the easy-plane case is CsMnBr3 [3][4][5], where a =0.4 ±0.05. The Heisenberg case is found, e.g., in VBr2, which exhibits a =0.25+ 0.1 [6].…”

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Crossover to chirality in the critical behavior of the easy-axis antiferromagnetCsNiCl3

et al. 1993

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We have measured the specific heat, C, of the easy-axis triangular lattice antiferromagnet CsNiCb in order to investigate the critical behavior associated with a multicritical point when the chiral symmetry is induced by an external magnetic field B. Critical exponents a determined from C are close to zero for two successive zero-field transitions, while a =0.25 ±0.08 near the multicritical point at 7^ ~ 4.48 K and BM « 2.25 T, and a =0.37 ±0.08 at the high-field phase boundary (Z?=6 T) far away from BMThe observed crossover from ordinary XY behavior for B < BM to n =3 chiral behavior at BM and finally to n =2 chiral behavior for B^>BM is in very good agreement with recent theoretical predictions.PACS numbers: 75.40.Cx, 65.40.Hq, 75.50.Ee The critical behavior near second-order phase transitions is described by a set of critical exponents. These are, e.g., a, /3, /, and v, for the specific heat, the order parameter, the susceptibility, and the correlation length, respectively. The renormalization group theory suggests that for short-range interaction all second-order phase transitions should belong to universality classes which are characterized only by the dimensionality of the system, d, and the number of components of the order parameter, n. Each universality class is associated with certain values of the critical exponents. The universality hypothesis has been well established and experimentally confirmed. Recently Kawamura pointed out that not only n is relevant, but the complete symmetry of the order parameter [1], This leads to new universality classes for magnetic systems which exhibit certain noncollinear spin structures characterized by a new degree of freedom, the chirality. These chiral universality classes have critical exponents that differ remarkably from the exponents [2] of ordinary three-dimensional universality classes. The difference is largest for a, which has a value close to zero for the conventional classes while systems with chirality have rather large positive values leading to distinctly different forms of the specific-heat anomaly at the critical temperature.Magnetic structures with chiral degeneracy are commonly found in hexagonal ABX3 compounds, where the magnetic B ions form chains along the c axis and a triangular lattice in the basal plane. The intrachain coupling in these substances is usually much larger than the interchain coupling. This gives rise to a quasi-one-dimensional magnetic behavior in an intermediate temperature range, while at low temperatures the small interchain coupling leads to three-dimensionally ordered states. In the case of antiferromagnetic coupling, the triangular spin arrangement essentially causes a noncollinear magnetic structure due to frustration effects. If the anisotropy of the magnetic ions is of easy-plane type CYF-like), the spins form a 120° structure in the basal plane, and the antiferromagnetic phase transition belongs to the n = 2 chiral universality class, whereas for systems without single-ion anisotropy, the transition is governed by th...

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Crossover to chirality in the critical behavior of the easy-axis antiferromagnetCsNiCl3

et al. 1993

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Crystallographic, magnetic and magnetocaloric properties in novel intermetallic materials R3CoNi (R = Tb, Dy, Ho, Er, Tm, Lu)

Herrero

Oleaga

Provino

et al. 2021

Journal of Alloys and Compounds

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Specific heat and critical behaviour of CsMnI₃

Beckmann¹,

Wosnitza²,

Löhneysen³

et al. 1993

J. Phys.: Condens. Matter

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W e repon an measuren" of the specific heat, C, of the triangular laltiee antiferromagnet CsM& in the vicinity of the two successive &ask transitions at TNI = 11.28 K and TNZ = 8.19 K and in magnetic fields up U, 6 T applied perpendicular to the e a i s . Near T N ~ the data can be fitted with a critical exponent OL = -0.0510.15 for B = 0 compatible with the prediction of threedimensional ordering with XY symmetry for this transition. Withii the experimental uncertain& the critical behaviour is not affected by a magnetic field.

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Phase Transitions in the Frustrated ABX₃ Compounds

Cited by 5 publications

References 0 publications

Crossover to chirality in the critical behavior of the easy-axis antiferromagnetCsNiCl3

Crossover to chirality in the critical behavior of the easy-axis antiferromagnetCsNiCl3

Crystallographic, magnetic and magnetocaloric properties in novel intermetallic materials R3CoNi (R = Tb, Dy, Ho, Er, Tm, Lu)

Specific heat and critical behaviour of CsMnI₃

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Phase Transitions in the Frustrated ABX3 Compounds

Cited by 5 publications

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Crossover to chirality in the critical behavior of the easy-axis antiferromagnetCsNiCl3

Crossover to chirality in the critical behavior of the easy-axis antiferromagnetCsNiCl3

Crystallographic, magnetic and magnetocaloric properties in novel intermetallic materials R3CoNi (R = Tb, Dy, Ho, Er, Tm, Lu)

Specific heat and critical behaviour of CsMnI3

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Phase Transitions in the Frustrated ABX₃ Compounds

Specific heat and critical behaviour of CsMnI₃