Inelastic neutron scattering studies on 1D near-Heisenberg antiferromagnets: A test of the Haldane conjecture

Steiner, Michael; Kakurai, Kazuhisa; Kjems, Jørgen; Petitgrand, D.; Pynn, R.

doi:10.1063/1.338595

Cited by 158 publications

(78 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…The first experimental evidence came from neutron-scattering on CsNiCl 3 [12][13][14][15]. In this compound there are chains of spin one Ni 2+ ions with superexchange through Cl − anions.…”

Section: Introductionmentioning

confidence: 99%

Dynamical properties of a Haldane-gap antiferromagnet

Golinelli

Jolicœur

Lacaze

1993

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We study the dynamic spin correlation function of a spin one antiferromagnetic chain with easy-plane single-ion anisotropy. We use exact diagonalization by the Lanczős method for chains of lengths up to N=16 spins. We show that a single-mode approximation is an excellent description of the dynamical properties. A variational calculation allows us to clarify the nature of the excitations. The existence of a twoparticle continuum near zero wavevector is clearly seen both in finite-size effects and in the dynamical structure factor. The recent neutron scattering experiments on the quasi-one-dimensional antiferromagnet NENP are fully explained by our results.

show abstract

Section: Introductionmentioning

confidence: 99%

Dynamical properties of a Haldane-gap antiferromagnet

Golinelli

Jolicœur

Lacaze

1993

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…In NENP the upward renormalization of the energy gap in the spectrum was measured up to T = 20 K ≃ 0.43J, 17 and the temperature dependence of the correlation length has been determined up to T = 100 K ≃ 2J. 18 The temperature dependence of the gap in CsNiCl 3 at the 3D ordering wave-vector was previously studied up to T = 20 K ≃ 0.75J, 7,12 and at the 1D wave-vector up to T = 12 K ≃ 0.5J. 19,11 Surprisingly a detailed study of the excitation spectrum of antiferromagnetic spin chains for T > J and in the high-temperature limit has not been made.…”

Section: Introductionmentioning

confidence: 99%

Evolution of spin excitations in a gapped antiferromagnet from the quantum to the high-temperature limit

Kenzelmann¹,

Cowley²,

Buyers

et al. 2002

Phys. Rev. B

View full text Add to dashboard Cite

We have mapped from the quantum to the classical limit the spin excitation spectrum of the antiferromagnetic spin-1 Heisenberg chain system CsNiCl3 in its paramagnetic phase from T = 5 to 200 K. Neutron scattering shows that the excitations are resonant and dispersive up to at least T = 70 K, but broaden considerably with increasing temperature. The dispersion flattens out with increasing temperature as the resonance energy ∆ at the antiferromagnetic wave-vector increases and the maximum in the dispersion decreases. The correlation length ξ between T = 12 and 50 K is in agreement with quantum Monte Carlo calculations. ξ is also consistent with the single mode approximation, suggesting that the excitations are short-lived single particle excitations. Below T = 12 K where three-dimensional spin correlations are important, ξ is shorter than predicted and the experiment is not consistent with the random phase approximation for coupled quantum chains. At T = 200 K, the structure factor and second energy moment of the excitation spectrum are in excellent agreement with the high-temperature series expansion.

show abstract

“…For the past few decades, a great deal of attention has also been devoted to magnetic materials with spin-1 ions, such as the linear chain systems including CsNiCl 3 [28] with a weak axial anisotropy, CsFeBr 3 [29] with a strong planar anisotropy and the complex materials NENP (Ni(C 2 H 8 N 2 ) 2 NO 2 (ClO 4 )) [30] with a weak planar anisotropy and NENC (Ni(C 2 H 8 N 2 ) 2 Ni(CN 4 )) [31] with a strong planar anisotropy; as well as the 2D Heisenberg antiferromagnet K 2 NiF 4 [32]. The spin gaps observed in CsNiCl 3 and NENP are believed to be examples of the integer-spin gap behaviour predicted by Haldane [5]; whereas half-odd-integer spin sytems are gapless.…”

Section: Introductionmentioning

confidence: 99%

The effect of anisotropy on the ground-state magnetic ordering of the spin-1 quantumJ₁^XXZ–J₂^XXZmodel on the square lattice

Bishop¹,

Li²,

Darradi³

et al. 2008

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

Effect of anisotropy on the ground-state magnetic ordering of the spin-one quantum J Heisenberg model for spin-1 particles on an infinite square lattice interacting via nearest-neighbour (J 1 ≡ 1) and next-nearest-neighbour (J 2 > 0) bonds. Both bonds have the same XXZ-type anisotropy in spin space. The effects on the quasiclassical Néel-ordered and collinear stripe-ordered states of varying the anisotropy parameter ∆ is investigated using the coupled cluster method carried out to high orders. By contrast with the spin- XXZ IntroductionIn a recent paper [1] we have used the coupled cluster method (CCM) [2][3][4] to study the influence of spin anisotropy on the ground-state (gs) magnetic ordering of an anisotropic version (viz., the J . In the present paper we further the investigation of the J particles by particles with s = 1. The main purpose of the previous paper was to examine carefully the role of spin anisotropy in tuning the quantum fluctuations that play such a key role in determiningspin-1 Heisenberg model on the square lattice 2 the quantum phase diagram of the pure (spin-isotropic) J 1 -J 2 model that has become an archetypal model for discussing the subtle interplay between the effects due to quantum fluctuations and frustration, as discussed below. While increasing the spin quantum number s is, of course, expected to reduce the effects of quantum fluctuations, new and unexpected phenomena may also arise. Thus, a well-known example of such new behaviour emerging when s is increased is the appearance of the gapped Haldane phase [5] in s = 1 one-dimensional (1D) chains, which is not present in their s = 1 2 counterparts. The basic (spin-isotropic) J 1 -J 2 model with nearest-neighbour (NN) and nextnearest-neighbour (NNN) antiferromagnetic exchange interactions, of strengths J 1 and J 2 respectively, has been extensively studied both theoretically [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and experimentally [21][22][23][24]. Many of the earlier studies were motivated, at least in part, by the hope of shedding light on the possible link between antiferromagnetism and the onset of superconductivity at high temperature in the doped cuprate materials whose undoped precursors are seemingly well described by the s = 1 2 version of the J 1 -J 2 model on the square lattice in two dimensions [8,[25][26][27]. The recent discovery of several other quasi-2D materials that are realizations of the J 1 -J 2 model, has only served to extend the theoretical interest in the model. Some of the actual magnetic compounds that can be well described by the s = . The compound VOMoO 4 is interesting because its exchange couplings appear to be more than an order of magnitude larger than those of Li 2 VOSiO 4 , even though the structures of the two compounds are closely related. Similarly, the compound Pb 2 VO(PO 4 ) 2 also has a structure closely related to that of Li 2 VOSiO 4 , but it appears to have a ferromagnetic NN exchange coupling (J 1 < 0) frustrated by an antiferromagnetic NNN exchange coupling (J 2 > 0)...

show abstract

Inelastic neutron scattering studies on 1D near-Heisenberg antiferromagnets: A test of the Haldane conjecture

Cited by 158 publications

References 18 publications

Dynamical properties of a Haldane-gap antiferromagnet

Dynamical properties of a Haldane-gap antiferromagnet

Evolution of spin excitations in a gapped antiferromagnet from the quantum to the high-temperature limit

The effect of anisotropy on the ground-state magnetic ordering of the spin-1 quantumJ₁^XXZ–J₂^XXZmodel on the square lattice

Contact Info

Product

Resources

About

Inelastic neutron scattering studies on 1D near-Heisenberg antiferromagnets: A test of the Haldane conjecture

Cited by 158 publications

References 18 publications

Dynamical properties of a Haldane-gap antiferromagnet

Dynamical properties of a Haldane-gap antiferromagnet

Evolution of spin excitations in a gapped antiferromagnet from the quantum to the high-temperature limit

The effect of anisotropy on the ground-state magnetic ordering of the spin-1 quantumJ1XXZ–J2XXZmodel on the square lattice

Contact Info

Product

Resources

About

The effect of anisotropy on the ground-state magnetic ordering of the spin-1 quantumJ₁^XXZ–J₂^XXZmodel on the square lattice