Magnetization process of an<i>S=1</i>linear-chain Heisenberg antiferromagnet

Katsumata, Kenji; Hori, Hidenobu; Takeuchi, Tetsuya; Date, Muneyuki; Yamagishi, A.; Renard, Jean‐Pierre

doi:10.1103/physrevlett.63.86

Cited by 336 publications

(132 citation statements)

References 14 publications

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“…The lower dashed line corresponds to the (S z = +1) + (S z = −1) continuum while the upper dashed line corresponds to (S z = +1) + (S z = 0). There is very good agreement with the theoretical results in the neighborhood of Q=π where the IP and OP modes are separated by the experimental resolution [17][18][19][20]22]. In the region π/2 < Q < π the fits (5.1) are also in agreement with the theoretical results.…”

Section: Comparison With Neutron Scattering Experimentssupporting

confidence: 82%

Dynamical properties of a Haldane-gap antiferromagnet

Golinelli

Jolicœur

Lacaze

1993

J. Phys.: Condens. Matter

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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.

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Section: Comparison With Neutron Scattering Experimentssupporting

confidence: 82%

Dynamical properties of a Haldane-gap antiferromagnet

Golinelli

Jolicœur

Lacaze

1993

J. Phys.: Condens. Matter

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“…The situation resembles the behavior of the Haldanegap antiferromagnet NENP, where the staggered g tensor of two non-equivalent Ni sites causes the triplet excitation to anticross the ground state at H c [28,29] and magnetization develops with no long-range order due to the interchain coupling [30]. It is interesting to note that isolated triplet spin dimers in the Shastry-Sutherland lattice have been predicted to be unstable below the 1/8 plateau and they cannot be constituents of the ground state in this field region [31].…”

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confidence: 81%

Specific Heat of theS=1/2 Two-Dimensional Shastry–Sutherland Antiferromagnet SrCu₂(BO₃)₂in High Magnetic Fields

et al. 2011

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We characterize the field-induced magnetic phases of SrCu2(BO3)2, a frustrated spin-1/2 Heisenberg antiferromagnet in the two-dimensional Shastry-Sutherland lattice, using specific heat in magnetic fields up to 33 T. We find that the spin gap persists above the expected critical field Hc = ∆/gµB of 21 T despite the appearance of magnetic moment in the ground state. At the magnetization plateau at 1/8 of the saturation, the Sz = +1 triplets that carry the magnetization of the ground state are observed to form a two-dimensional spin gas of massive bosons. A spin gas consisting of the same number of massive particles continues to completely dominate the specific heat in the field region above the plateau, although the magnetization increases with increasing field. Ordering is observed at a temperature immediately below the spin-gas regime.PACS numbers: 75.45.+j, 75.40.Cx, 05.30.Jp, 67.40.Db, 75.50.Ee Geometrical frustration is one of the important subjects in strongly correlated systems [1]. In particular, the fascinating interplay of geometrical frustration and quantum fluctuation in two dimensions provides a fertile ground for new physics, as has been theoretically demonstrated for Heisenberg antiferromagnets in the triangular lattice and the kagomé lattice. For the S = 1/2 triangular antiferromagnet, there now appears to be a consensus that Néel order must exist despite the strong frustration [2]. The S = 1/2 kagomé antiferromagnet has been predicted to possess a gap separating the ground state from upper triplet levels and a band of low-lying singlet excitations within the triplet gap, although the exact nature of the ground state is still under debate [3]. These predictions are yet to be borne out by experiment, because no isotropic S = 1/2 model system has been identified in the laboratory for these lattices.In the last few years, there has been a rapid progress in the understanding of the S = 1/2 Heisenberg antiferromagnet in the Shastry-Sutherland lattice [4], another two-dimensional frustrated geometry, for which the exact ground state is known at zero and low magnetic fields despite geometrical frustration. The progress owes largely to the discovery of the spin gap and other novel magnetic properties in SrCu 2 (BO 3 ) 2 [5], the only known laboratory model for the geometrically frustrated S = 1/2 two-dimensional Heisenberg antiferromagnet.The low-field ground state of the Shastry-Sutherland antiferromagnet is simply a product of spin-dimer singlet wave functions, and the dimerization by the diagonal bond J causes a gap to form [4]. The gapped triplet excitations, which are also spin dimers at least to a good approximation, have a large mass as a result of the unique lattice topology involving orthogonal arrangement of dimers [6,7,8,9]. In SrCu 2 (BO 3 ) 2 , the coupling strengths extracted from experiments are J = 85 K for the intra-dimer exchange and J ′ = 54 K for the interdimer exchange [10] or J = 70 K and J ′ = 42 K [11]. The large J ′ makes the energy gap ∆ substantially smaller than J [5,12]. In...

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“…In addition to theoretical studies, there have been extensive experimental studies: [15][16][17][18][19][20][21][22] Some of the materials considered can be understood as one-dimensional spin-1 systems, giving supports for the theoretical results. The data on Ni(C 2 H 8 N 2 ) 2 NO 2 ClO 4 provide evidence for the Haldane gap 15,16 and additional spin-1/2 degrees of freedom 17,18 at the singlet-bond-broken sites in the presence of impurities. Gapped excitations were also observed in CsNiCl 3 with a correlation length smaller than the prediction from the theory, [20][21][22] which is now explained by weak couplings between spin-1 chains.…”

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confidence: 99%

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

Lee

Choi

Jeon³

2017

Phys. Rev. B

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We study the frustrated ferromagnetic spin-1 chains, where the ferromagnetic nearest-neighbor coupling competes with the antiferromagnetic next-nearest-neighbor coupling. We use the density matrix renormalization group to obtain the ground states. Through the analysis of spin-spin correlations we identify the double Haldane phase as well as the ferromagnetic phase. It is shown that the ferromagnetic coupling leads to incommensurate correlations in the double Haldane phase. Such short-range correlations transform continuously into the ferromagnetic instability at the transition to the ferromagnetic phase. We also compare the results with the spin-1/2 and classical spin systems, and discuss the string orders in the system.

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Magnetization process of anS=1linear-chain Heisenberg antiferromagnet

Cited by 336 publications

References 14 publications

Dynamical properties of a Haldane-gap antiferromagnet

Dynamical properties of a Haldane-gap antiferromagnet

Specific Heat of theS=1/2 Two-Dimensional Shastry–Sutherland Antiferromagnet SrCu₂(BO₃)₂in High Magnetic Fields

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

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Magnetization process of anS=1linear-chain Heisenberg antiferromagnet

Cited by 336 publications

References 14 publications

Dynamical properties of a Haldane-gap antiferromagnet

Dynamical properties of a Haldane-gap antiferromagnet

Specific Heat of theS=1/2 Two-Dimensional Shastry–Sutherland Antiferromagnet SrCu2(BO3)2in High Magnetic Fields

Emergent incommensurate correlations in frustrated ferromagnetic spin-1 chains

Contact Info

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Specific Heat of theS=1/2 Two-Dimensional Shastry–Sutherland Antiferromagnet SrCu₂(BO₃)₂in High Magnetic Fields