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Hutchings, M. T.; Shirane, G.; Birgeneau, R. J.; Holt, Smith L.

doi:10.1103/physrevb.5.1999

Cited by 284 publications

(55 citation statements)

References 43 publications

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“…Owing to finite-temperature effects which generally produce a broadening of the spin-wave peaks, asymmetric lineshapes in inelastic neutron scattering have so far been detected only for s = 1 2 compounds (Heilmann et aI1978). However, if one looks at the early neutron scattering data on the s = 5 2 AF compound TMMc as obtained by Hutchings et at (1972) one is inclined to observe at low T a slight asymmetry in the peaks for wave numbers close to the zone boundary (see figure 11 of their paper), though it has not been interpreted by the authors as a physical effect. We should like, therefore, to call the attention of experimentalists who are currently investigating dynamical properties of TMMC to this effect.…”

Section: Isotropic S ≥mentioning

confidence: 90%

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: Isotropic S ≥mentioning

confidence: 90%

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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“…For example, the (C 10 H 8 N 2 )MnCl 3 , described by a S = 2 model [11]; and the (CH 3 ) 4 NMnCl 3 , also known as TMMC, described by a S = 5/2 model [12,13]. In Ref.…”

Section: The Classical Model As An Approximation Tomentioning

confidence: 99%

The high temperature expansion of the classical XYZ chain

Silva

Rojas

Skea

et al. 2007

Physica A: Statistical Mechanics and its Applications

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We present the β-expansion of the Helmholtz free energy of the classical XY Z model, with a singleion anisotropy term and in the presence of an external magnetic field, up to order β 12 . We compare our results to the numerical solution of Joyce's [Phys. Rev. Lett. 19, 581 (1967)] expression for the thermodynamics of the XXZ classical model, with neither single-ion anisotropy term nor external magnetic field. This comparison shows that the derived analytical expansion is valid for intermediate temperatures such as kT /Jx ≈ 0.5. We show that the specific heat and magnetic susceptibility of the spin-2 antiferromagnetic chain can be approximated by their respective classical results, up to kT /J ≈ 0.8, within an error of 2.5%. In the absence of an external magnetic field, the ferromagnetic and antiferromagnetic chains have the same classical Helmholtz free energy. We show how this two types of media react to the presence of an external magnetic field.

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“…Similarly as in the case of TMMC isomorphous crystals of (CH 3 )4 NCdC13 (TMCC) and (CH3) 4 ΝΝiCl3 (TMNC) exhibit structural phase transitions from hexagonal high-temperature phase to monoclinic low-temperature phase [3,4]. It was shown that in higl-temperature phase of these crystals TMA cations are disordered [2,5] and order-disorder phase transitions are related to the ordering of TMA cations and small shifts of the metal-halogen chains [4]. TMCB crystal is another member of this family and undergoes a stuctural phase transition of the first order from hexagonal room temperature phase (space group: P6 3 /m) to another hexagonal phase (space group P61) and disordered states of TMA cations in paraelectric and ordered in ferroelectric phase are found in it [6][7][8].…”

mentioning

confidence: 90%

“…Among them (CH 3)4NMnCl3 (TMMC) crystal has been widely studied as quasi-one-dimensional magnetic system with infinite chains of -Mn-C13-Mn-Cl3-separated by tetramethylammonium cations (TMA) [1,2]. Similarly as in the case of TMMC isomorphous crystals of (CH 3 )4 NCdC13 (TMCC) and (CH3) 4 ΝΝiCl3 (TMNC) exhibit structural phase transitions from hexagonal high-temperature phase to monoclinic low-temperature phase [3,4].…”

mentioning

confidence: 99%

Quadrupole Relaxation of⁷⁹Br Nuclei in Ferroelectric (CH₃)₄NCdBr₃(TMCB)

1994

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Investigations of temperature dependence of a nuclear quadrupole spinlattice relaxation time of 79 Βr nuclei in ferroelectric (CH3) 4 NCdΒr3 are ρre-sented. It is shown that in paraelectric phase iii the vicinity of phase transition temperature relaxation process is determined h ey critical fluctuations of electric field gradient. In ferroelectric plase relaxation is related to three dicherent mechanisms, namely: lattice vibrations, CH3--group reorientations and TMA cation motions. According to the results of measurements it is concluded that the phase transition is connected with ordering of TMA cations. PACS numbers: 64.70.KbTetramethylammonium tribromocadmate (CH 3)4NCdBr3 (TMCB) belongs to the family of crystals with a general chemical formula (CH3)4NMΧ3 , where Μ = Mn, Ni, Cd; Χ = Cl, Br, I. Among them (CH 3)4NMnCl3 (TMMC) crystal has been widely studied as quasi-one-dimensional magnetic system with infinite chains of -Mn-C13-Mn-Cl3-separated by tetramethylammonium cations (TMA) [1,2]. Similarly as in the case of TMMC isomorphous crystals of (CH 3 )4 NCdC13 (TMCC) and (CH3) 4 ΝΝiCl3 (TMNC) exhibit structural phase transitions from hexagonal high-temperature phase to monoclinic low-temperature phase [3,4]. It was shown that in higl-temperature phase of these crystals TMA cations are disordered [2, 5] and order-disorder phase transitions are related to the ordering of TMA cations and small shifts of the metal-halogen chains [4]. TMCB crystal is another member of this family and undergoes a stuctural phase transition of the first order from hexagonal room temperature phase (space group: P6 3 /m) to another hexagonal phase (space group P61) and disordered states of TMA cations in paraelectric and ordered in ferroelectric phase are found in it [6][7][8]. The low-temperature phase exhibits ferroelectric properties along the c-axis. Spontaneous polarization is equal to 1.2 x 10 -3 C/m2 at 125 K [9]. NMR investigations of molecular dynamics in (357)

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Spin Dynamics in the One-Dimensional Antiferromagnet(CD3)4NMn
M. T. Hutchings
¹
,
G. Shirane
²
,
R. J. Birgeneau³
et al.

Cited by 284 publications

References 43 publications

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Quantum spin dynamics of the one-dimensional planar antiferromagnet

The high temperature expansion of the classical XYZ chain

Quadrupole Relaxation of⁷⁹Br Nuclei in Ferroelectric (CH₃)₄NCdBr₃(TMCB)

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Spin Dynamics in the One-Dimensional Antiferromagnet(CD3)4NMnM. T. Hutchings1, G. Shirane2, R. J. Birgeneau3 et al.

Cited by 284 publications

References 43 publications

Quantum spin dynamics of the one-dimensional planar antiferromagnet

Quantum spin dynamics of the one-dimensional planar antiferromagnet

The high temperature expansion of the classical XYZ chain

Quadrupole Relaxation of79Br Nuclei in Ferroelectric (CH3)4NCdBr3(TMCB)

Contact Info

Product

Resources

About

Spin Dynamics in the One-Dimensional Antiferromagnet(CD3)4NMn
M. T. Hutchings
¹
,
G. Shirane
²
,
R. J. Birgeneau³
et al.

Quadrupole Relaxation of⁷⁹Br Nuclei in Ferroelectric (CH₃)₄NCdBr₃(TMCB)