Magnetic structure of 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Ba</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>TiO</mml:mi><mml:mo>)</mml:mo></mml:mrow><mml:msub><mml:mi>Cu</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:msub><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>PO</mml:mi><mml:mn>4</mml:mn></mml:msub><mml:mo>)</mml:mo></mml:mrow><mml:mn>4</mml:mn></mml:msub></mml:mrow></mml:math>
 probed using spherical neutron polarimetry

Babkevich, P.; Testa, Luc; Kimura, Kazuhiro; Kimura, T.; Tucker, Gregory S.; Roessli, B.; Rønnow, Henrik M.

doi:10.1103/physrevb.96.214436

Cited by 15 publications

(17 citation statements)

References 18 publications

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“…Experimental configuration of the local field was compared to the calculated dipolar field for several magnetic arrangement of the copper magnetic moments. We found that the magnetic structure Γ 3 (1) determined by the previous neutron diffraction studies 1,6 is most consistent with the NMR data.…”

Section: Discussionsupporting

confidence: 86%

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Magnetic structure of the square cupola compound Ba(TiO) Cu4(PO4)4

Rästa¹,

Heinmaa²,

Kimura³

et al. 2020

Phys. Rev. B

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The magnetic structure of the antiferromagnetic square cupola compound Ba(TiO)Cu4(PO4)4 with the tetragonal structure is studied with 31 P nuclear magnetic resonance techniques. The magnetic hyperfine shift K shows a clear splitting at the Néel temperature TN = 9.5 K, where the resonance splits into two lines when an external magnetic field is oriented along the c axis and into four lines when the field is along the a axis. In the paramagnetic region K(T ) follows temperature dependence of the magnetic susceptibility χ(T ). From K vs χ plot we determined nearly isotropic hyperfine field values H a hf = 765 mT/µB and H c hf = 740 mT/µB for the magnetic field oriented along a and c, respectively. From the rotation of the single crystal in the external magnetic field we determined eight different orientations of K-tensor in the paramagnetic region. In the antiferromagnetic state at T = 6 K we found that the local field at phosphorus is mainly due to dipolar field of coppers. Here the rotation of the single crystal shows eight different orientations of the local field Bint = 35.6 mT. The orientations correspond to the calculation of dipolar fields at phosphorus assuming magnetic quadrupolar configuration of magnetic moments Γ3(1) described previously [Nat. Commun. 7, 13039 (2016); Phys. Rev. B 96, 214436 (2017)].

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Section: Discussionsupporting

confidence: 86%

“…The latter arrangement had smaller R-factor, thus being the most probable arrangement. Later Babkevich et al 6 confirmed the two possible structures using spherical neutron polarimetry, inclining by a discernible, albeit small advantage towards the Γ 3 (2) spin structure.…”

Section: Introductionmentioning

confidence: 95%

Magnetic structure of the square cupola compound Ba(TiO) Cu4(PO4)4

Rästa¹,

Heinmaa²,

Kimura³

et al. 2020

Phys. Rev. B

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“…Two types of the square-cupola units (upward and downward) are present in the structure [see Fig. 1(b [2][3][4][5]. A huge anomaly in the temperaturedependent dielectric constant was observed at the Neél temperature T N 9.5 K in the magnetic field applied along the [100] and [110] directions.…”

Section: Introductionmentioning

confidence: 99%

Frustration of square cupola in Sr(TiO) Cu4(PO4)4

Islam

Ranjith²,

Baenitz³

et al. 2018

Phys. Rev. B

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The structural and magnetic properties of the square-cupola antiferromagnet Sr(TiO)Cu4(PO4)4 are investigated via x-ray diffraction, magnetization, heat capacity, and 31 P nuclear magnetic resonance experiments on polycrystalline samples, as well as density-functional band-structure calculations. The temperature-dependent unit cell volume could be described well using the Debye approximation with the Debye temperature of θD 550 K. Magnetic response reveals a pronounced two-dimensionality with a magnetic long-range-order below TN 6.2 K. High-field magnetization exhibits a kink at 1/3 of the saturation magnetization. Asymmetric 31 P NMR spectra clearly suggest strong in-plane anisotropy in the magnetic susceptibility, as anticipated from the crystal structure. From the 31 P NMR shift vs bulk susceptibility plot, the isotropic and axial parts of the hyperfine coupling between 31 P nuclei and the Cu 2+ spins are calculated to be A iso hf 6539 and A ax hf 952 Oe/µB, respectively. The low-temperature and low-field 31 P NMR spectra indicate a commensurate antiferromagnetic ordering. Frustrated nature of the compound is inferred from the temperature-dependent 31 P NMR spin-lattice relaxation rate and confirmed by our microscopic analysis that reveals strong frustration of the square cupola by next-nearest-neighbor exchange couplings.

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“…In the present paper we focus our attention on the magnetization process and magnetocaloric effect of the spin-1/2 X X Z Heisenberg triangular and pentagonal cupola with an odd number of spins N = 9 and N = 15. In addition, we investigate the spin-1/2 X X Z Heisenberg square cupola with the total number of spins N = 12, for which several experimental realizations were found in the magnetic compounds Sr(TiO)Cu 4 (PO 4 ) 4 [42,43], Pb(TiO)Cu 4 (PO 4 ) 4 [44], Ba(TiO)Cu 4 (PO 4 ) 4 [45][46][47][48][49].…”

Section: Introductionmentioning

confidence: 99%

Spin-1/2 XXZ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect

Karľová¹

2020

Condens. Matter Phys.

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The magnetization curves and magnetocaloric effect during the adiabatic demagnetization of antiferromagnetic spin-1/2 XXZ Heisenberg clusters with the shape of Johnson's solids (triangular cupola, square cupola and pentagonal cupola) are investigated using the exact numerical diagonalization for different values of the exchange anisotropy ranging in between the Ising and fully isotropic limit. It is demonstrated that spin-1/2 XXZ Heisenberg cupolae display, in comparison with their Ising counterparts, at least one more magnetization plateau. The novel magnetization plateaux extends over a wider range of the magnetic fields with increasing of a quantum part of the XXZ exchange coupling at the expense of the original plateaux present in the limiting Ising case. It is shown that the spin-1/2 XXZ Heisenberg triangular and pentagonal cupolae exhibit an enhanced magnetocaloric effect in the vicinity of zero magnetic field, which makes these magnetic systems promising refrigerants for cooling down to ultra-low zero temperatures.

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Magnetic structure of Ba(TiO)Cu4(PO4)4 probed using spherical neutron polarimetry

Cited by 15 publications

References 18 publications

Magnetic structure of the square cupola compound Ba(TiO) Cu4(PO4)4

Magnetic structure of the square cupola compound Ba(TiO) Cu4(PO4)4

Frustration of square cupola in Sr(TiO) Cu4(PO4)4

Spin-1/2 XXZ Heisenberg cupolae: magnetization process and related enhanced magnetocaloric effect

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