On the Curie points and high temperature susceptibilities of Heisenberg model ferromagnetics

Rushbrooke, G. S.; Wood, P.J.

doi:10.1080/00268975800100321

Cited by 672 publications

(185 citation statements)

References 18 publications

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“…This does lead to θ > 0, but an antiferromagnetic spin structure is observed below the Néel temperature. In such extended magnetic systems, a classification of the interactions with respect to nearest, next-nearest, and further neighbors is possible if the susceptibility data at temperatures between the Curie-Weiss region and the magnetic ordering temperature (T C , T N ) are included in fitting procedures on the basis of a powerful approach, the high-temperature series expansion [6,32,33]. Unfortunately, the Curie-Weiss law is also often used for magnetically dilute systems, misinterpreting the effect of H LF + H SO as cooperative phenomena.…”

Section: Estimated Magnetic Behavior Of Magnetically Condensed Systemsmentioning

confidence: 99%

Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)

Hatscher

Schilder

Lueken

et al. 2005

Pure and Applied Chemistry

101

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Republication or reproduction of this report or its storage and/or dissemination by electronic means is permitted without the Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)Abstract: Rules are pointed out to protect the magnetochemist from pitfalls in both measurement and interpretation of magnetic data. Carefully chosen magnetic field strengths during magnetic susceptibility measurements guarantee the recording of genuine data. With the help of examples, the effect of too strong applied fields is demonstrated producing magnetic saturation and, for example, quenching of weak ferro-or antiferromagnetic spin-spin couplings. In consequence, the data run the risk of being misinterpreted unless model susceptibility equations are applied that take the field dependence of χ m into consideration. Recommendations are given for the presentation of experimental and theoretical data. The limited applicability of the most overworked formula in paramagnetism, the Curie-Weiss law χ m = C/(T-θ), is clearly presented (magnetically condensed systems, pure spin magnetism). While rough and ready susceptibility formulae are applicable to specific 3d and 4f systems, the complex situation for the remaining d and f centers, including actinides, demands computer programs which consider simultaneously interelectronic repulsion, ligand field potential, spin-orbit coupling, interatomic exchange interactions, and applied magnetic field.

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Section: Estimated Magnetic Behavior Of Magnetically Condensed Systemsmentioning

confidence: 99%

Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)

Hatscher

Schilder

Lueken

et al. 2005

Pure and Applied Chemistry

101

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“…The susceptibility is expressed by the hightemperature expansion up to the third order as 9,[17][18][19] …”

Section: Susceptibility and Magnetization Curvementioning

confidence: 99%

Susceptibility, Magnetization Process and ESR Studies on the Helical Spin System RbCuCl₃

et al. 2001

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The static and dynamic magnetic properties of an S = 1/2 stacked triangular antiferromagnet RbCuCl3 with a helical spin structure due to lattice distortion were investigated by magnetic susceptibility, high-field magnetization process and ESR measurements. The magnetic susceptibilities were analyzed by high-temperature expansion approximation in terms of ferromagnetic intrachain coupling and the antiferromagnetic interchain coupling. The magnetization saturates at Hs ≈ 66.8 T at 1.5 K, the value of which is twice that of CsCuCl3. A small magnetization jump indicative of a phase transition was observed at Hc = 21.2 T ≈ (1/3)Hs for H⊥c. ESR modes observed for H c are well described by the calculation based on the helical spin structure. From the present measurements, the ferromagnetic intrachain and two kinds of antiferromagnetic interchain exchange interactions, and the planar anisotropy energy were determined as J0/kB = 25.7 K, J1/kB = −10.6 K, J ′ 1 /kB = −17.4 K, and ∆J0/kB = −0.45 K, respectively. KEYWORDS: RbCuCl 3 , distorted triangular antiferromagnet, helical spin structure, susceptibility, high-field magnetization process, field-induced phase transition, ESR §1. Introduction Triangular antiferromagnets of the hexagonal ABX 3 type with the CsNiCl 3 structure exhibit a rich variety of magnetic phase transitions due to spin frustration and quantum fluctuation.1) Recently, the magnetic properties of CsCuCl 3 have been actively investigated. CsCuCl 3 exhibits field-induced phase transition for H c, which is caused by the competition between planar anisotropy and quantum fluctuation.2-4) A small amount of Co 2+ doped in CsCuCl 3 produces successive magnetic phase transitions, 5) and the low-temperature phase was found to be an oblique triangular antiferromagnetic phase in which spins form triangular structure in a plane tilted from the basal plane. 6)The magnetic properties of the closely related RbCuCl 3 have been less extensively studied. At high temperatures, RbCuCl 3 exhibits the highly symmetric CsNiCl 3 structure (space group P 6 3 /mmc). With decreasing temperature, RbCuCl 3 transforms into an orthorhombic structure (P bcn) at T t1 = 340 K and further into a monoclinic structure (C2) at T t2 = 260 K due to the Jahn-Teller effect.7, 8) RbCuCl 3 undergoes magnetic phase transition at T N ≈ 19 K.9) The magnetic susceptibility of RbCuCl 3 was first investigated by Tazuke et al.9) They analyzed their susceptibility data in terms of * E-mail: syuji@lee.phys.titech.ac.jp. * * E-mail: tanaka@lee.phys.titech.ac.jp.antiferromagnetic intrachain coupling and ferromagnetic interchain coupling. Recent neutron powder diffraction by Reehuis et al. 10) revealed that an incommensurate helical spin structure which is close to the 120• spin structure is realized in the basal plane as shown in Fig. 1, and that spins are arranged ferromagnetically along the c-axis. The spin structure is expressed by the ordering vector Q 0 = (0, 0.5985, 0) for the monoclinic representation and Q 0 = (0.2993, 0.2993, 0) for the hexagonal re...

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“…was the high-T series expansion to sixth order in l/T of the 5=1/2 nearest-neighbor AF Heisenberg model for the V sublattice of the spinel structure [88]. The fit parameters depended on the T region of the fits as previously found assuming X^oc'^lT) = Cf(T -0) [7,89].…”

Section: Introductionmentioning

confidence: 99%

LiV2O4: A Heavy Fermion Transition Metal Oxide

et al. 1997

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On the Curie points and high temperature susceptibilities of Heisenberg model ferromagnetics

Cited by 672 publications

References 18 publications

Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)

Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)

Susceptibility, Magnetization Process and ESR Studies on the Helical Spin System RbCuCl₃

LiV2O4: A Heavy Fermion Transition Metal Oxide

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On the Curie points and high temperature susceptibilities of Heisenberg model ferromagnetics

Cited by 672 publications

References 18 publications

Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)

Practical guide to measurement and interpretation of magnetic properties (IUPAC Technical Report)

Susceptibility, Magnetization Process and ESR Studies on the Helical Spin System RbCuCl3

LiV2O4: A Heavy Fermion Transition Metal Oxide

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Product

Resources

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Susceptibility, Magnetization Process and ESR Studies on the Helical Spin System RbCuCl₃