Quantum phase transitions driven by rhombic-type single-ion anisotropy in the 
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 Haldane chain

Tzeng, Yu-Chin; Onishi, Hiroaki; Okubo, Tsuyoshi; Kao, Ying-Jer

doi:10.1103/physrevb.96.060404

Cited by 29 publications

(31 citation statements)

References 77 publications

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“…Indeed, the absence of magnetic Bragg scattering at temperatures significantly less than the exchange energy scale is in opposition to a magnetically ordered ground state for NBCT, while the low temperature specific heat [14] and magnetization data [15] may indicate the nearby presence of strong quantum fluctuations. Finally, NBCT may be plotted on the (D/J, E/J) phase diagram [10], Fig. 4, and is close to the predicted boundary between a large-D phase and a magnetically ordered phase.…”

Section: Resultssupporting

confidence: 61%

Inelastic neutron scattering study of the anisotropic S=1 spin chain [Ni(HF2)(3−Clpy

et al. 2020

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Ni(HF2)(3-Clpyridine)4]BF4 (NBCT) is a one-dimensional, S = 1 spin chain material that shows no magnetic neutron Bragg peaks down temperatures of 0.1 K. Previous work identified NBCT to be in the Haldane phase and near a quantum phase transition as a function of D/J to the large-D quantum paramagnet phase (QPM), where D is the axial single-ion anisotropy and J is the intrachain superexchange. Herein, inelastic neutron scattering results are presented on partially deuterated, 11 B enriched NBCT polycrystalline samples in zero magnetic field and down to temperatures of 0.3 K. Comparison to density matrix renormalization group calculations yields D/J = 1.51 and a significant rhombic single-ion anisotropy E (E/D ≈ 0.03, E/J ≈ 0.05). These D, J, and E values place NBCT in the large-D QPM phase but precipitously near a quantum phase transition to a long-range ordered phase.

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Section: Resultssupporting

confidence: 61%

Inelastic neutron scattering study of the anisotropic S=1 spin chain [Ni(HF2)(3−Clpy

et al. 2020

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“…Low-field magnetic susceptibility, magnetization and heat capacity measurements all indicate the presence of easy-axis anisotropy in Ni(H 2 O) 2 (acetate) 2 (4-picoline) 2 where the Ni(II) ion is surrounded by four equatorial oxygens and two axial nitrogens. Judging from the local structure, it would be expected that the easy axis lies parallel or close to the axial N-Ni-N bond direction.…”

Section: Discussionmentioning

confidence: 99%

“…Of particular relevance here are quasi-one-dimensional and quasi-two-dimensional systems based on S=1 magnetic moments, which inspire a great deal of contemporary theoretical attention (e.g. [1][2][3][4][5][6][7][8]) and are predicted to display vibrant phase diagrams arising from competing interactions and their interplay with singleion anisotropy. These diagrams encompass quantum critical points [1,2], nematic and supersolid states [5,9,10], as well as topologically interesting gapped and quantum paramagnetic phases [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

“…We will apply the analysis to three new materials in which Ni(II) ions are separated from one another by organic ligands. These are (1) [Ni(H 2 O) 2 (3,5-lutidine) 4 ](BF 4 ) 2 and (2) Ni(H 2 O) 2 (acetate) 2 (4-picoline) 2 , both of which we find to be dominated by single-ion anisotropy with no evidence of a significant role for exchange interactions at the temperatures measured, and (3) the antiferromagnet [Ni(H 2 O) 2 (pyrazine) 2 ](BF 4 ) 2 . System (1) was designed to have NiN 4 O 2 octahedra similar to that of (3), but without extended interaction pathways, such that the effect of the local environment on the anisotropy could be elucidated in the absence of exchange, and we will discuss to what extent this approach has been successful.…”

Section: Introductionmentioning

confidence: 99%

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Determining the anisotropy and exchange parameters of polycrystalline spin-1 magnets

Blackmore¹,

Brambleby²,

Lancaster³

et al. 2019

New J. Phys.

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Although low-dimensional S=1 antiferromagnets remain of great interest, difficulty in obtaining highquality single crystals of the newest materials hinders experimental research in this area. Polycrystalline samples are more readily produced, but there are inherent problems in extracting the magnetic properties of anisotropic systems from powder data. Following a discussion of the effect of powder-averaging on various measurement techniques, we present a methodology to overcome this issue using thermodynamic measurements. In particular we focus on whether it is possible to characterise the magnetic properties of polycrystalline, anisotropic samples using readily available laboratory equipment. We test the efficacy of our method using the magnets [Ni(H 2 O) 2 (3,5-lutidine) 4 ](BF 4 ) 2 and Ni(H 2 O) 2 (acetate) 2 (4-picoline) 2 , which have negligible exchange interactions, as well as the antiferromagnet [Ni(H 2 O) 2 (pyrazine) 2 ](BF 4 ) 2 , and show that we are able to extract the anisotropy parameters in each case. The results obtained from the thermodynamic measurements are checked against electron-spin resonance and neutron diffraction. We also present a density functional method, which incorporates spin-orbit coupling to estimate the size of the anisotropy in [Ni(H 2 O) 2 (pyrazine) 2 ](BF 4 ) 2 .

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“…4 Institute of Metal Physics, RAS, Ekaterinburg, Russia 620990. 5 Hochfeld-Magnetlabor Dresden (HLD-EMFL), Helmholtz-Zentrum Dresden-Rossendorf, 01328 Dresden, Germany. 6 Kirchhoff Institute of Physics, Heidelberg University, 69120 Heidelberg, Germany.…”

Section: Openmentioning

confidence: 99%

Quasi-1D XY antiferromagnet Sr2Ni(SeO3)2Cl2 at Sakai-Takahashi phase diagram

Kozlyakova

Moskin

Berdonosov

et al. 2021

Sci Rep

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Uniform quasi-one-dimensional integer spin compounds are of interest as a potential realization of the Haldane conjecture of a gapped spin liquid. This phase, however, has to compete with magnetic anisotropy and long-range ordered phases, the implementation of which depends on the ratio of interchain J′ and intrachain J exchange interactions and both uniaxial D and rhombic E single-ion anisotropies. Strontium nickel selenite chloride, Sr2Ni(SeO3)2Cl2, is a spin-1 chain system which passes through a correlations regime at Tmax ~ 12 K to long-range order at TN = 6 K. Under external magnetic field it experiences the sequence of spin-flop at Bc1 = 9.0 T and spin-flip transitions Bc2 = 23.7 T prior to full saturation at Bsat = 31.0 T. Density functional theory provides values of the main exchange interactions and uniaxial anisotropy which corroborate the experimental findings. The values of J′/J = 0.083 and D/J = 0.357 place this compound into a hitherto unoccupied sector of the Sakai-Takahashi phase diagram.

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Quantum phase transitions driven by rhombic-type single-ion anisotropy in the S=1 Haldane chain

Cited by 29 publications

References 77 publications

Inelastic neutron scattering study of the anisotropic S=1 spin chain [Ni(HF2)(3−Clpy

Inelastic neutron scattering study of the anisotropic S=1 spin chain [Ni(HF2)(3−Clpy

Determining the anisotropy and exchange parameters of polycrystalline spin-1 magnets

Quasi-1D XY antiferromagnet Sr2Ni(SeO3)2Cl2 at Sakai-Takahashi phase diagram

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