Determination of the single-ion anisotropy energy in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>S</mml:mi><mml:mo>=</mml:mo><mml:mstyle scriptlevel="1"><mml:mfrac bevelled="false"><mml:mn>5</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>kagome antiferromagnet using x-ray absorption spectroscopy

Vries, Mark de; Johal, T. K.; Mirone, Alessandro; Claydon, J. S.; Rønnow, Henrik M.; Laan, G. van der; Harrison, Andrew

doi:10.1103/physrevb.79.045102

Cited by 15 publications

(14 citation statements)

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“…We neglect any interlayer coupling, because it is weak compared to the DMI in iron jarosites. 52 The canted 120 • order can alternatively be explained by singleion anisotropy terms, 50,64,65 but these are expected to be small for the Fe 3+ ions of iron jarosites. 48 We introduce the XXZ anisotropy to our model to help explain large canting angles in certain materials.…”

Section: A Spin Modelmentioning

confidence: 99%

Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

Laurell

Fiete

2018

Phys. Rev. B

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We theoretically study magnetic and topological properties of antiferromagnetic kagome spin systems in the presence of both in-and out-of-plane Dzyaloshinskii-Moriya interactions. In materials such as the iron jarosites, the in-plane interactions stabilize a canted noncollinear "umbrella" magnetic configuration with finite scalar spin chirality. We derive expressions for the canting angle, and use the resulting order as a starting point for a spinwave analysis. We find topological magnon bands, characterized by non-zero Chern numbers. We calculate the magnon thermal Hall conductivity, and propose the iron jarosites as a promising candidate system for observing the magnon thermal Hall effect in a noncollinear spin configuration. We also show that the thermal conductivity can be tuned by varying an applied magnetic field, or the in-plane Dzyaloshinskii-Moriya strength. In contrast with previous studies of topological magnon bands, the effect is found to be large even in the limit of small canting. PACS numbers: 75.25.-j,75.30.Ds,75.47.-m arXiv:1804.09783v2 [cond-mat.str-el]

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Section: A Spin Modelmentioning

confidence: 99%

Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

Laurell

Fiete

2018

Phys. Rev. B

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“…104,105 X-ray dichroism of the Fe 3+ ion also found a single-ion anisotropy in good agreement with the above figure. 106 In addition, in ordered jarosite compounds, a second transition corresponding to the in-plane locking of the spins occurs at 45 − 55K. 107 With these large values in mind, we assume that the energy barriers of the model originate in the anisotropy.…”

Section: Vesignieite Cu3bav2o8(oh)2mentioning

confidence: 99%

Heterogeneous freezing in a geometrically frustrated spin model without disorder: Spontaneous generation of two time scales

Cepas

Canals

2012

Phys. Rev. B

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By considering the constrained motion of classical spins in a geometrically frustrated magnet, we find a dynamical freezing temperature below which the system gets trapped in metastable states with a "frozen" moment and dynamical heterogeneities. The residual collective degrees of freedom are strongly correlated, and by spontaneously forming aggregates, they are unable to reorganize the system. The phase space is then fragmented in a macroscopic number of disconnected sectors (broken ergodicity), resulting in self-induced disorder and "thermodynamic" anomalies, measured by the loss of a finite configurational entropy. We discuss these results in the view of experimental results on the kagome compounds, SrCr9pGa12−9pO19, (H30)Fe3(SO4)2(OH)6, Cu3V2O7(OH)2.2H2O and Cu3BaV2O8(OH)2.

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“…Some recent studies on large-spin (i.e., s > 1 2 ) systems include: (a) the comparison of the Heisenberg antiferromagnet (HAF) on the Sierpiński gasket with the corresponding HAFs on various regular 2D lattices, including the square, honeycomb, triangular and kagomé lattices, for the cases s = 1 2 , 1, and 3 2 [7]; (b) the one-dimensional (1D) Heisenberg chain for both integral and half-odd integral values of s up to a value of 10 [8,9,10]; (c) the 2D J-J ′ model on the square lattice containing two different types of NN bonds, for values of s between 1 2 and 2 [5]; d) the 2D spin-anisotropic XXZ Heisenberg Hamiltonian for s = 1 [8,11,12,13]; e) the spatially anisotropic J 1 -J 1 '-J 2 model on the 2D square lattice for values of s up to 4 [14,15]; (f) the spin-anisotropic J XXZ 1 -J XXZ 2 model for s = 1 [16]; (g) the pure J 1 -J 2 model for s = 1 [17]; (h) the 2D Union Jack model for s = 1 and s = 3 2 [18]; and the 2D Heisenberg model on the honeycomb lattice for s = 1 [19]. Another example that has been experimentally studied involves the investigation of the single-ion anisotropy energy in the 2D kagomé lattice for the case s = 5 2 [20].…”

Section: Introductionmentioning

confidence: 99%

Magnetic order in spin-1 and spin- $$\frac{3} {2}$$ interpolating square-triangle Heisenberg antiferromagnets

Bishop

2012

Eur. Phys. J. B

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Using the coupled cluster method we investigate spin-s J1-J ′ 2 Heisenberg antiferromagnets (HAFs) on an infinite, anisotropic, two-dimensional triangular lattice for the two cases where the spin quantum number s = 1 and s = 3 2 . With respect to an underlying square-lattice geometry the model has antiferromagnetic (J1 > 0) bonds between nearest neighbours and competing (J ′ 2 > 0) bonds between next-nearest neighbours across only one of the diagonals of each square plaquette, the same diagonal in each square. In a topologically equivalent triangular-lattice geometry, the model has two types of nearestneighbour bonds: namely the J ′ 2 ≡ κJ1 bonds along parallel chains and the J1 bonds producing an interchain coupling. The model thus interpolates between an isotropic HAF on the square lattice at one limit (κ = 0) and a set of decoupled chains at the other limit (κ → ∞), with the isotropic HAF on the triangular lattice in between at κ = 1. For both the spin-1 model and the spin-3 2 model we find a second-order type of quantum phase transition at κc = 0.615 ± 0.010 and κc = 0.575 ± 0.005 respectively, between a Néel antiferromagnetic state and a helically ordered state. In both cases the ground-state energy E and its first derivative dE/dκ are continuous at κ = κc, while the order parameter for the transition (viz., the average ground-state on-site magnetization) does not go to zero there on either side of the transition. The phase transition at κ = κc between the Néel antiferromagnetic phase and the helical phase for both the s = 1 and s = 3 2 cases is analogous to that also observed in our previous work for the s = 1 2 case at a value κc = 0.80 ± 0.01. However, for the higher spin values the transition appears to be of continuous (second-order) type, exactly as in the classical case, whereas for the s = 1 2 case it appears to be weakly first-order in nature (although a second-order transition could not be ruled out entirely). PACS. 75.10.Jm Quantized spin models -75.30.Kz Magnetic phase boundaries -75.50.Ee Antiferromagnetics P. H. Y. Li, R. F. Bishop: Magnetic order in s > 1 2 interpolating square-triangle magnetic modelsAs already noted above, the spin quantum number s can, both in principle and in practice, play an important role in the phase structure of strongly correlated spinlattice systems, which often display rich and interesting phase scenarios due to the interplay between the quantum fluctuations and the competing interactions. Varying the spin quantum number s can tune the strength of the quantum fluctuations and lead to fascinating phenomena [5]. A well-known example of such spin-dependent behaviour is the gapped Haldane phase [6] in s = 1 one-dimensional (1D) chains, which is not present in their s = 1 2 counterparts.Some recent studies on large-spin (i.e., s > 1 2 ) systems include: (a) the comparison of the Heisenberg antiferromagnet (HAF) on the Sierpiński gasket with the corresponding HAFs on various regular 2D lattices, including the square, honeycomb, triangular and kagomé lattices, for the cas...

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Determination of the single-ion anisotropy energy in aS=52kagome antiferromagnet using x-ray absorption spectroscopy

Cited by 15 publications

References 53 publications

Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

Magnon thermal Hall effect in kagome antiferromagnets with Dzyaloshinskii-Moriya interactions

Heterogeneous freezing in a geometrically frustrated spin model without disorder: Spontaneous generation of two time scales

Magnetic order in spin-1 and spin- $$\frac{3} {2}$$ interpolating square-triangle Heisenberg antiferromagnets

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