Square-lattice magnetism of diaboleite Pb<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>Cu(OH)<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>4</mml:mn></mml:msub></mml:math>Cl<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mrow /><mml:mn>2</mml:mn></mml:msub></mml:math>

Tsirlin, Alexander A.; Janson, Oleg; Lebernegg, Stefan; Rösner, H.

doi:10.1103/physrevb.87.064404

Cited by 26 publications

(28 citation statements)

References 65 publications

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“…From the constant C, we obtain an effective magnetic moment of 1.96 B m /Cu which is larger than the spin only value of 1.73 and implies the g-factor of 2.26 lying still in the expected range for Cu 2+ compounds [31,39,57]. The positive θ indicates predominant AFM couplings, which are, however, quite weak.…”

Section: Thermodynamic Propertiesmentioning

confidence: 83%

Interplay of magnetic sublattices in langite Cu₄(OH)₆SO₄· 2H₂O

et al. 2016

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Magnetic and crystallographic properties of the mineral langite Cu 4 (OH) 6 SO 2 4 · H 2 O are reported. Thermodynamic measurements combined with a microscopic analysis, based on density-functional bandstructure calculations, identify a quasi-two-dimensional (2D), partially frustrated spin-1/2 lattice resulting in the low Néel temperature of T 5.7 N  K. This spin lattice splits into two parts with predominant ferro-and antiferromagnetic (AFM) exchange couplings, respectively. The former, ferromagnetic (FM) part is prone to the long-range magnetic order and saturates around 12 T, where the magnetization reaches 0.5 B m /Cu. The latter, AFM part features a spin-ladder geometry and should evade long-range magnetic order. This representation is corroborated by the peculiar temperature dependence of the specific heat in the magnetically ordered state. We argue that this separation into ferro-and antiferromagnetic sublattices is generic for quantum magnets in Cu 2+ oxides that combine different flavors of structural chains built of CuO 4 units. To start from reliable structural data, the crystal structure of langite in the 100-280 K temperature range has been determined by single-crystal x-ray diffraction, and the hydrogen positions were refined computationally.chains develop incommensurate spin correlations and helical magnetic order [8,9], although few instances of FM intrachain spin order are known as well [10,11]. The helical spin arrangement observed in simple binary compounds CuCl 2 [12] and CuBr 2 [13] and in more complex materials like linarite PbCu(OH) 2 SO 4 [14], all being frustrated J J 1 2 spin chains, may trigger electric polarization induced by the magnetic order, thus leading to multiferroic behavior [15-18]. Additionally, small interactions beyond the isotropic Heisenberg model lead to an intricate magnetic phase diagram, including multipolar (three-magnon) phases, which has been studied recently [19]. However, the complex interplay of frustration and anisotropy needs further investigations on different systems as, e.g., LiCuVO 4 [20-23]. One may naturally ask what happens when two types of spin chains, those with edge-and corner-sharing geometries, are placed next to each other within one material. Spin systems comprising several magnetic OPEN ACCESS RECEIVED =. A more detailed description of the procedure can be found, e.g., in [31,54]. Alternatively, strong electron correlations are added on top of LDA by the LSDA+U method in a mean-field way and are thus included in the self-consistent procedure. This allows for calculating total exchange constants J J J ij ij ij FM AFM ( ) m = J J J 81

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Section: Thermodynamic Propertiesmentioning

confidence: 83%

Interplay of magnetic sublattices in langite Cu₄(OH)₆SO₄· 2H₂O

et al. 2016

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“…This suppression of the T N implies that only a small amount of the magnetic entropy is available at the transition, thus rendering the λ-type anomaly of the specific heat diminutively small. The absence of the transition anomaly in the specific-heat data of quasi-2D antiferromagnets has been demonstrated both experimentally [34,35] and theoretically [36]. In this case, magnetic susceptibility (and the associated Fisher's heat capacity) serves as a more sensitive probe of the transition, because the susceptibility kink is driven by the anisotropy of the ordered state and does not depend on the dimensionality.…”

Section: A Thermodynamic Propertiesmentioning

confidence: 90%

Stripe order and magnetic anisotropy in the S=1 antiferromagnet BaMoP2O8

et al. 2018

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Magnetic behavior of yavapaiite-type BaMoP2O8 with the spatially anisotropic triangular arrangement of the S = 1 Mo 4+ ions is explored using thermodynamic measurements, neutron diffraction, and density-functional band-structure calculations. A broad maximum in the magnetic susceptibility around 46 K is followed by the stripe antiferromagnetic order with the propagation vector k = ( 1 2 , 1 2 , 1 2 ) formed below TN 21 K. This stripe phase is triggered by a pronounced onedimensionality of the spin lattice, where one of the in-plane couplings, J2 4.6 meV, is much stronger than its J1 0.4 meV counterpart, and stabilized by the weak easy-axis anisotropy. The ordered moment of 1.42(9) µB at 1.5 K is significantly lower than the spin-only moment of 2 µB due to a combined effect of quantum fluctuations and spin-orbit coupling.

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“….O) stays below ∼ 3.0Å as to allow for the efficient overlap between the ligand 2p orbitals. 31 The case of Cu(PM)(EA) 2 is qualitatively different. The stronger coupling J c pertains to the longer C. .…”

Section: Discussion and Summarymentioning

confidence: 99%

Quasi-two-dimensionalS=12magnetism ofCu[C6H2(<

et al. 2015

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We report structural and magnetic properties of the spin- square lattice with the ratio of the couplings Ja/Jc 0.7 along the a and c directions, respectively. No clear signatures of the long-range magnetic order are seen in thermodynamic measurements down to 1.8 K. However, the gradual broadening of the ESR line suggests that magnetic ordering occurs at lower temperatures. Leading magnetic couplings are mediated by the organic anion of the pyromellitic acid and exhibit a nontrivial dependence on the Cu-Cu distance, with the stronger coupling between those Cu atoms that are further apart.

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Square-lattice magnetism of diaboleite Pb2Cu(OH)4Cl2

Cited by 26 publications

References 65 publications

Interplay of magnetic sublattices in langite Cu₄(OH)₆SO₄· 2H₂O

Interplay of magnetic sublattices in langite Cu₄(OH)₆SO₄· 2H₂O

Stripe order and magnetic anisotropy in the S=1 antiferromagnet BaMoP2O8

Quasi-two-dimensionalS=12magnetism ofCu[C6H2(<

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Square-lattice magnetism of diaboleite Pb2Cu(OH)4Cl2

Cited by 26 publications

References 65 publications

Interplay of magnetic sublattices in langite Cu4(OH)6SO4· 2H2O

Interplay of magnetic sublattices in langite Cu4(OH)6SO4· 2H2O

Stripe order and magnetic anisotropy in the S=1 antiferromagnet BaMoP2O8

Quasi-two-dimensionalS=12magnetism ofCu[C6H2(<

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Interplay of magnetic sublattices in langite Cu₄(OH)₆SO₄· 2H₂O

Interplay of magnetic sublattices in langite Cu₄(OH)₆SO₄· 2H₂O