Antiferromagnetic vs. spin-Peierls state in quasi-1D Heisenberg antiferromagnets

Kondo, Jun

doi:10.1016/0378-4363(84)90119-0

Cited by 6 publications

(4 citation statements)

References 11 publications

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“…Þ: It is found that there is no suppression of the order parameters near the phase boundary. These results are essentially the same as obtained from the mean-filed approximation [7][8][9]. Even if one includes electronic fluctuation effects due to the ðq x f þ Þðq x f À Þ and cos 2f terms in Eq.…”

Section: Classical Treatmentsupporting

confidence: 78%

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Quantum phase transition between the spin-Peierls state and the antiferromagnetic state in the TMTTF organic compounds

Tsuchiizu

Sugiura

Suzumura

2005

Physica B: Condensed Matter

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Section: Classical Treatmentsupporting

confidence: 78%

“…(2c) is of the Ising type and then this symmetry restoration is artifact due to the approximation in Eq. (8). The products of the order parameters, O 2 SP ðjÞ and O 2 AF ðjÞ; are to be understood as point-split in time.…”

Section: Article In Pressmentioning

confidence: 99%

Quantum phase transition between the spin-Peierls state and the antiferromagnetic state in the TMTTF organic compounds

Tsuchiizu

Sugiura

Suzumura

2005

Physica B: Condensed Matter

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“…From the values of the intrachain coupling J and the Néel temperature T N , we can estimate the interchain coupling. The interchain coupling J ′ may be evaluated using the expression 20) T…”

Section: Nmr Spectrum and The Knight Shiftmentioning

confidence: 99%

Spin Diffusion in theS=1/2 Quasi One-Dimensional Antiferromagnet α-VO(PO₃)₂via³¹P NMR

et al. 2001

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Low-frequency spin dynamics in the S = 1/2 antiferromagnetic spin-chain compound α-VO(PO3)2 has been studied by means of 31 P NMR. The nuclear spin-lattice relaxation rate 1/T1 at the P site exhibits H −1/2 dependence on the applied magnetic field (H) at temperatures (T ) well above the intrachain coupling strength J/kB = 3.50 K indicating one-dimensional diffusive spin dynamics. The diffusive contribution to 1/T1 decreases on cooling as electronic spins acquire short-range antiferromagnetic correlations within the chain, and vanishes almost entirely around T ≈ J/kB. This is accompanied by an apparent increase of the spin-diffusion constant from the value expected in the classical limit. On the other hand, the field-independent part of 1/T1 increases with decreasing temperature, which may be a precursor for the true long-range antiferromagnetic ordering found below TN = 1.93 ± 0.01 K.KEYWORDS: α-VO(PO 3 ) 2 , NMR, antiferromagnetic spin chain, nuclear spin relaxation, spin diffusion §1. Introduction There has been a continued interest in the dynamics of low-dimensional quantum antiferromagnets at finite temperatures. One of the issues which has attracted renewed attention is a problem of spin diffusion in the one-dimensional (1D) Heisenberg spin chain. It is argued from phenomenology that at high enough temperatures and at long times, the spin autocorrelation function of the 1D Heisenberg spin chain has a diffusive formleading to divergence of the spectral density at low frequencies as ω −1/2 . However, because the diffusive form (1.1) is not derived from the microscopic Hamiltonian but is a consequence of the hydrodynamical assumption for the spin-spin correlation, 1) the question on the existence of spin diffusion in 1D spin chains has been studied intensively from both theoretical and experimental viewpoints. One of the best studied theoretical models is the S = 1/2 XXZ chain represented by the Hamiltonian 2, 3, 4, 5, 6, 7)(1.2)At the isotropic point (∆ = 1) and at low enough temperatures (T ≪ J/k B ), analytical expressions for the dynamical susceptibility χ(q, ω) have been derived for q ≈ 0 and π, and are shown to have no diffusive pole at low frequencies.2) At modestly high, or much higher temperatures compared with the intrachain coupling strength J, the problem is still controversial. Although the absence * E-mail: kikuchi@ph.noda.sut.ac.jp of diffusive excitations seems to be settled for the XXZ chain with planar anisotropy (0 ≤ ∆ < 1), a definite answer for the absence (or presence) of spin diffusion at the isotropic point has not yet been given.Diffusive behavior of the spin-spin correlation has been observed experimentally in several 1D spin chains via the ω −1/2 resonance-frequency dependence of the nuclear spin-lattice relaxation rate 1/T 1 at elevated temperatures. 8,9,10,11,12,13) As to the S = 1/2 chain, an analysis of the ω dependence of 1/T 1 at the Cu site in Sr 2 CuO 3 based on the classical spin-diffusion theory gives an unusually high value of the spin diffusion constant compared with the ...

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“…This is considered to be an origin of long-range magnetic ordering at nonzero temperature. The interchain coupling J ′ may be evaluated using the expression 16) T…”

Section: Powder Neutron Diffractionmentioning

confidence: 99%

NMR and Neutron Scattering Studies of Quasi One-Dimensional Magnet CuV₂O₆

et al. 2000

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Magnetic properties of a quasi one-dimensional magnet CuV2O6 have been studied by means of susceptibility measurement, NMR and powder neutron diffraction. Cu 2+ spins (S = 1/2) order antiferromagnetically below 22.6 K, and the saturation moment is about 0.70 µB at 0 K. The magnetic structure determined in the present study indicates that in CuV2O6 one-dimensional antiferromagnetic spin chains are along [110], suggesting a dominant antiferromagnetic exchange interaction between the next-nearest-neighbor spins rather than the nearest-neighbor ones.

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Antiferromagnetic vs. spin-Peierls state in quasi-1D Heisenberg antiferromagnets

Cited by 6 publications

References 11 publications

Quantum phase transition between the spin-Peierls state and the antiferromagnetic state in the TMTTF organic compounds

Quantum phase transition between the spin-Peierls state and the antiferromagnetic state in the TMTTF organic compounds

Spin Diffusion in theS=1/2 Quasi One-Dimensional Antiferromagnet α-VO(PO₃)₂via³¹P NMR

NMR and Neutron Scattering Studies of Quasi One-Dimensional Magnet CuV₂O₆

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Antiferromagnetic vs. spin-Peierls state in quasi-1D Heisenberg antiferromagnets

Cited by 6 publications

References 11 publications

Quantum phase transition between the spin-Peierls state and the antiferromagnetic state in the TMTTF organic compounds

Quantum phase transition between the spin-Peierls state and the antiferromagnetic state in the TMTTF organic compounds

Spin Diffusion in theS=1/2 Quasi One-Dimensional Antiferromagnet α-VO(PO3)2via31P NMR

NMR and Neutron Scattering Studies of Quasi One-Dimensional Magnet CuV2O6

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Spin Diffusion in theS=1/2 Quasi One-Dimensional Antiferromagnet α-VO(PO₃)₂via³¹P NMR

NMR and Neutron Scattering Studies of Quasi One-Dimensional Magnet CuV₂O₆