Magnetic field effects on the spin dynamics of the linear spin-  Heisenberg antiferromagnet

Müller, Gerhard; Thomas, H.; Beck, H. P.; Bonner, Jill C.

doi:10.1016/0038-1098(81)91151-0

Cited by 3 publications

(1 citation statement)

References 12 publications

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“…This is confirmed by a number of recent quantum approaches to the 1D spin-dynamics at T = 0 (Luther and Peschel 1975, Mikeska 1975, Fogedby 1978, Vaidya and Tracy 1978, Fowler and Puga 1979, Müller et al 1979, Ishimura and Shiba 1980. Quantum effects are even more dramatic when a magnetic field is applied (Ishimura and Shiba 1977, Groen et al 1979, 1980, Müller et al 1981a.…”

Section: Introductionmentioning

confidence: 99%

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Müller

Thomas

Puga

et al. 1981

J. Phys. C: Solid State Phys.

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The T = 0 dynamics of the one-dimensional s = 1 2 planar anti ferromagnet is studied by an approach which consists of exact analytic calculations in the Bethe formalism and numerical finite-chain calculations on rings up to 10 spins. Our method makes use of well known critical exponents for the correlation functions and of exact sum rules. We obtain approximate analytic expressions for both the out-of-plane and the inplane dynamic structure factors, and for related quantities such as integrated intensities, susceptibilities and autocorrelation functions. The results are discussed in relation to possible experiments on quasi-1D magnetic compounds at low T . Our calculations make clear that the T = 0 dynamic structure factors are dominated by two-parameter continua of excitations rather than by single branches of spin-waves as predicted by classical spin-wave theory. By varying the planar anisotropy the autocorrelation functions display interesting features in their long-time asymptotic behaviour, such as a crossover from a uniform power-law decay to an oscillatory decay and a crossover between oscillatory decays with different frequencies. We conjecture a possibility of approaching the classical limit s = ∞ starting from the quantum limit s = 1 2 . This provides a qualitative, and in some aspects even quantitative, understanding of the dynamical behaviour of s > 1 2 systems in terms of a quantum approach.

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Section: Introductionmentioning

confidence: 99%

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Müller

Thomas

Puga

et al. 1981

J. Phys. C: Solid State Phys.

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Uniform magnetic chain with second-neighbour interactions at finite temperatures

Loly¹,

Caillé²,

Banville³

1984

J. Phys. C: Solid State Phys.

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Synthesis, Characterization, and Microwave Dielectric Properties of ATiO₃ (A=Co, Mn, Ni) Ceramics

Anjana

Sebastian

2006

Journal of the American Ceramic Society

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The ATiO3 (A=Co, Mn, Ni) dielectric ceramics have been synthesized by the conventional solid‐state ceramic route. The structure and microstructure of these ceramic samples have been studied using powder X‐ray diffraction and scanning electron microscopy. The microwave dielectric properties such as relative permittivity (ɛr), quality factor (Qu×f), and coefficient of temperature variation of resonant frequency (τf) of the ceramics have been measured in the frequency range 4–6 GHz using resonance methods. The dielectric constant of ATiO3 (A=Co, Mn, Ni) varies from 19 to 25 and τf close to −50 ppm/°C. The ceramics have high‐quality factors (Qu×f) of 62 500 GHz (at 5.42 GHz) for CoTiO3, 15 200 GHz (at 5.22 GHz) for MnTiO3, and 13 900 GHz (at 5.24 GHz) for NiTiO3, respectively.

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Magnetic field effects on the spin dynamics of the linear spin- Heisenberg antiferromagnet

Cited by 3 publications

References 12 publications

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Uniform magnetic chain with second-neighbour interactions at finite temperatures

Synthesis, Characterization, and Microwave Dielectric Properties of ATiO₃ (A=Co, Mn, Ni) Ceramics

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Magnetic field effects on the spin dynamics of the linear spin- Heisenberg antiferromagnet

Cited by 3 publications

References 12 publications

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Uniform magnetic chain with second-neighbour interactions at finite temperatures

Synthesis, Characterization, and Microwave Dielectric Properties of ATiO3 (A=Co, Mn, Ni) Ceramics

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Product

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Synthesis, Characterization, and Microwave Dielectric Properties of ATiO₃ (A=Co, Mn, Ni) Ceramics