Magnetic properties of a quasi-one-dimensional<i>S</i>=1/2 antiferromagnet: Copper benzoate

Dender, D. C.; Davidović, Dragomir; Reich, Daniel H.; Broholm, C.; Lefmann, Kim; Aeppli, G.

doi:10.1103/physrevb.53.2583

Cited by 103 publications

(102 citation statements)

References 33 publications

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“…In fact, such a gap opening has been extensively studied in Cu-benzoate through heat capacity 29 , inelastic neutron scattering 28,29 and ESR experiments 34 . Thus, the field-induced energy gap observed in the heat capacity data of the K compound also supports the presence of staggered DM interactions.…”

Section: Nacumoo 4 (Oh) Kcumoo 4 (Oh)mentioning

confidence: 99%

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO₄(OH) (A = Na, K)

2015

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ABSTRACT:A new spin-1/2 quasi-one-dimensional antiferromagnet KCuMoO4(OH) is prepared by the hydrothermal method. The crystal structures of KCuMoO4(OH) and the already-known Na-analogue, NaCuMoO4(OH), are isotypic, comprising chains of Cu 2+ ions in edge-sharing CuO4(OH)2 octahedra. Despite the structural similarity, their magnetic properties are quite different because of the different arrangements of dx 2 -y 2 orbitals carrying spins. For NaCuMoO4(OH), dx 2 -y 2 orbitals are linked by superexchange couplings via two bridging oxide ions, which gives a ferromagnetic nearestneighbor interaction J1 of -51 K and an antiferromagnetic next-nearest-neighbor interaction J2 of 36 K in the chain. In contrast, a staggered dx 2 -y 2 orbital arrangement in KCuMoO4(OH) results in superexchange couplings via only one bridging oxide ion, which makes J1 antiferromagnetic as large as 238 K and J2 negligible. This comparison between the two isotypic compounds demonstrates an important role of orbital arrangements in determining the magnetic properties of cuprates. IntroductionQuantum spin systems attract much attention because quantum fluctuations may suppress conventional magnetic order and can induce exotic states such as a spin liquid. 1, 2 The most promising candidates are found in compounds that contain Cu 2+ ions with spin 1/2. The Cu 2+ ion has a d 9 electronic configuration with one unpaired electron occupying either the dx 2 -y 2 or dz 2 orbital in the octahedral crystal field. This degeneracy is eventually lifted by lowering symmetry due to the Jahn-Teller effect: when two opposite ligands move away and the other four ligands come closer, the dx 2 -y 2 orbital is selected to carry the spin, whereas the dz 2 orbital is selected in the opposite case. Since this Jahn-Teller energy is quite large, either distortion of octahedra always occurs in actual compounds. Since magnetic interactions between neighboring Cu spins are caused by superexchange interactions via overlapping between Cu d orbitals and O ligand p orbitals, the arrangements of the Cu d orbitals and their connections via ligands are important to determine the magnetic properties of cuprates.Among many cuprates, a rich variety of crystal structures are found in natural minerals and their synthetic analogues. Recently, for example, many copper minerals with Cu 2+ ions in the kagome geometry have been focused on from the viewpoint of quantum magnetism: Volborthite (Cu3V2O7(OH)2•2H2O), [3][4][5] Herbertsmithite (Zn1-xCu3+x(OH)6Cl2), 6 Vesignieite (BaCu3V2O8(OH)2), 7 and so on. Besides, there are a lot of minerals where Cu 2+ forms one-dimensional (1D) chains, such as Chalcanthite (CuSO4•5H2O), 8 Linarite (PbCuSO4(OH)2), 9 and Natrochalcite (NaCu2(SO4)2(OH)•H2O). 10 Natrochalcite also has many synthetic analogues of ACu2(SO4)2(OH) •H2O (A

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Section: Nacumoo 4 (Oh) Kcumoo 4 (Oh)mentioning

confidence: 99%

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO₄(OH) (A = Na, K)

2015

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“…This has stimulated extensive investigation on the physical properties of the DM interaction. However, this interaction is rather difficult to handle analytically, which has brought much uncertainty in the interpretation of experimental data and has limited our understanding of many interesting quantum phenomena of low-dimensional magnetic materials.For copper benzoate, Dender et al [1,2] found that the spin excitation gap shows a peculiar field dependence, ∆ ∼ H 0.65 , in low fields. On the contrary, excitations remain gapless in the S=1/2 Heisenberg model below a critical field.…”

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Effects of the Dzyaloshinskii-Moriya Interaction on Low-Energy Magnetic Excitations in Copper Benzoate

et al. 2003

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We have investigated the physical effects of the Dzyaloshinskii-Moriya (DM) interaction in copper benzoate. In the low field limit, the spin gap is found to vary as H 2/3 ln 1/6 (J/µBHs) (Hs: an effective staggered field induced by the external field H) in agreement with the prediction of conformal field theory, while the staggered magnetization varies as H 1/3 and the ln 1/3 (J/µBHs) correction predicted by conformal field theory is not confirmed. The linear scaling behavior between the momentum shift and the magnetization is broken. We have determined the coupling constant of the DM interaction and have given a complete quantitative account for the field dependence of the spin gaps along all three principal axes, without resorting to additional interactions like interchain coupling. A crossover to strong applied field behavior is predicted for further experimental verification. . In these materials, the Dzyaloshinskii-Moriya (DM) interaction [7,8,9] plays an important role, especially in an applied magnetic field. This has stimulated extensive investigation on the physical properties of the DM interaction. However, this interaction is rather difficult to handle analytically, which has brought much uncertainty in the interpretation of experimental data and has limited our understanding of many interesting quantum phenomena of low-dimensional magnetic materials.For copper benzoate, Dender et al [1,2] found that the spin excitation gap shows a peculiar field dependence, ∆ ∼ H 0.65 , in low fields. On the contrary, excitations remain gapless in the S=1/2 Heisenberg model below a critical field. Oshikawa and Affleck (OA) suggested that this field dependence of the gap is due to a staggered magnetic field induced by the DM interaction in addition to the staggered g-factor in a uniform field [9,10]. However, a satisfactory explanation for the field-dependence of the energy gaps in all three directions is still lacking [11,12]. It was argued that the inconsistency between the experimental data and theoretical results might be due to the neglect of the interchain coupling and/or anisotropic interaction terms in the low-field effective model used by Oshikawa and Affleck [9,11]. We believe this issue can be clarified by a thorough study of the DM interaction and a direct comparison with experiments.Copper benzoate is a quasi-1D spin-1/2 antiferromagnetic Heisenberg system. The chain direction is the caxis. It contains two types of alternating and slightly tilted CuO 8 octahedra. This leads to two inequivalent Cu ++ ions and an alternating DM coupling [13]. In an applied field, copper benzoate can be modeled by the following Hamiltonian,( 1) where the three terms in the summation are the antiferromagnetic Heisenberg, DM and Zeeman splitting interactions, respectively. The exchange coupling constant J, determined from the neutron scattering measurements, is about 1.57meV. The DM interaction is much weaker than the Heisenberg term. The D-vector, primarily aligned along the a ′′ axis, will be determined numerically. g u and ...

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“…In a series of recent experiments [20,21] the behaviour of Copper Benzoate in a magnetic field was investigated in great detail. Neutron scattering experiments [21] established the existence of field-dependent incommensurate low energy modes.…”

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confidence: 99%

“…where H ≫ h, g is the effective Landé g-factor and J = 1.57 meV [20]. Here the induced staggered field h is a function of the known (staggered) g-tensor [18] and the Dzyaloshinskii-Moriya (DM) interaction in Copper Benzoate, for which unfortunately only scant information is available.…”

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confidence: 99%

Sine-Gordon low-energy effective theory for copper benzoate

Eßler

1999

Phys. Rev. B

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Magnetic properties of a quasi-one-dimensionalS=1/2 antiferromagnet: Copper benzoate

Cited by 103 publications

References 33 publications

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO₄(OH) (A = Na, K)

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO₄(OH) (A = Na, K)

Effects of the Dzyaloshinskii-Moriya Interaction on Low-Energy Magnetic Excitations in Copper Benzoate

Sine-Gordon low-energy effective theory for copper benzoate

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Magnetic properties of a quasi-one-dimensionalS=1/2 antiferromagnet: Copper benzoate

Cited by 103 publications

References 33 publications

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO4(OH) (A = Na, K)

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO4(OH) (A = Na, K)

Effects of the Dzyaloshinskii-Moriya Interaction on Low-Energy Magnetic Excitations in Copper Benzoate

Sine-Gordon low-energy effective theory for copper benzoate

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Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO₄(OH) (A = Na, K)

Orbital Arrangements and Magnetic Interactions in the Quasi-One-Dimensional Cuprates ACuMoO₄(OH) (A = Na, K)