<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">O</mml:mi><mml:mprescripts /><mml:none /><mml:mn>17</mml:mn></mml:mmultiscripts></mml:math>NMR Study of the Intrinsic Magnetic Susceptibility and Spin Dynamics of the Quantum Kagome Antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>ZnCu</mml:mi><mml:mn>3</mml:mn></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>OH</mml:mi><mml

Olariu, A.; Mendels, P.; Bert, F.; Duc, F.; Trombe, Jean‐Christian; Vries, Mark de; Harrison, Andrew

doi:10.1103/physrevlett.100.087202

Cited by 273 publications

(270 citation statements)

References 26 publications

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“…One issue that has been persistent among these systems, such as Ba 3 CuSb 2 O 9 (triangle or honeycomb) [13,18], Herbertsmithite (Kagome) [30][31][32] [35,36] (triangular biplanes), is the effect of vacancies at the magnetic sites. In minute amounts, these might simply give rise to an additional Curie term in the susceptibility and a Schottky like contribution to the heat capacity, keeping the correlated ground state intact.…”

Section: Discussionmentioning

confidence: 99%

Ba3MxTi3−xO9(M=Ir

et al. 2016

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We report the structural and magnetic properties of the 4d (M = Rh) based and 5d (M = Ir) based systems Ba 3 M x Ti 3−x O 9 (nominally x = 0.5, 1). The studied compositions were found to crystallize in a hexagonal structure with the centrosymmetric space group P 6 3 /mmc. The structures comprise of A 2 O 9 polyhedra [with the A site (possibly) statistically occupied by M and Ti] in which pairs of transition metal ions are stacked along the crystallographic c axis. These pairs form triangular bilayers in the ab plane. The magnetic Rh and Ir ions occupy these bilayers, diluted by Ti ions even for x = 1. These bilayers are separated by a triangular layer which is dominantly occupied by Ti ions. From magnetization measurements we infer strong antiferromagnetic couplings for all of the materials but the absence of any spin-freezing or spin-ordering down to 2 K. Further, specific heat measurements down to 0.35 K show no sign of a phase transition for any of the compounds. Based on these thermodynamic measurements we propose the emergence of a quantum spin liquid ground state for Ba 3 Rh 0.5 Ti 2.5 O 9 , and Ba 3 Ir 0.5 Ti 2.5 O 9 , in addition to the already reported Ba 3 IrTi 2 O 9 .

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Section: Discussionmentioning

confidence: 99%

Ba3MxTi3−xO9(M=Ir

et al. 2016

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“…For example, the Dzyaloshinskii-Moriya interaction and impurity spins may be present in the material. [25][26][27][28][29] Because of these complications, it has been difficult to pin down the true ground state of the system. These considerations also suggest that it is important to understand the effect of various perturbations to the ideal kagome lattice structure and magnetic anisotropies to identify the true ground state of the system.…”

Section: Introductionmentioning

confidence: 99%

“…Experimentally, a lot of effort has been made to realize the material system of such geometrically frustrated antiferromagnet. The Herbertsmithite [19][20][21][22][23][24]26,27 ZnCu 3 (OH) 6 Cl 2 has the most ideal structure with uniform exchange couplings and shows no magnetic ordering down to much lower temperatures than the Curie-Weiss temperature. On the other hand, there may be several additional factors that would affect the nature of the ground state.…”

Section: Introductionmentioning

confidence: 99%

Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-12deformed kagome lattice antiferromagnet

Hwang¹,

Park²,

Kim³

2012

Phys. Rev. B

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Motivated by the recent neutron scattering experiment on Rb2Cu3SnF12 [Nat. Phys. 6, 865 (2010)], we investigate the effect of Dzyaloshinskii-Moriya interactions in a theoretical model for the magnetic structure of this material. Considering the valence bond solid ground state, which has a 12-site unit cell, we develop the bond operator mean-field theory. It is shown that the Dzyaloshinskii-Moriya interactions significantly modify the triplon dispersions around the Γ point and cause a shift of the spin gap (the minimum triplon gap) position from the K to Γ point in the first Brillouin zone. The spin gap is also evaluated in exact diagonalization studies on a 24-site cluster. We discuss a magnetic transition induced by the Dzyaloshinskii-Moriya interactions in the bond operator framework. Moreover, the magnetization process under external magnetic fields is studied within the exact diagonalization and strong coupling expansion approaches. We find that the results of all above approaches are consistent with the experimental findings.

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“…After years of experimental searches, several promising candidates finally emerged, including the "perfect" spin-1 2 kagome lattice herbertsmithite ZnCu 3 ͑OH͒ 6 Cl 2 , which shows no signs of magnetic ordering down to a temperature of 50 mK, despite having a nearestneighbor antiferromagnetic exchange J Ϸ 190 K. [1][2][3] Ever since the successful synthesis of herbertsmithite, 4 a host of experimental techniques have been applied to study the material, including thermodynamic measurements, 1,3,5,6 neutron diffraction, 1,7 NMR, 3,8,9 and SR. 2,3 Unfortunately, the experimental results accumulated thus far are still insufficient to determine if the material is truly a quantum spin liquid. In particular, the valence-bond solid ͑VBS͒ state proposed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Raman signature of the U(1) Dirac spin-liquid state in the spin-12kagome system

Liu

et al. 2010

Phys. Rev. B

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We followed the Shastry-Shraiman formulation of Raman scattering in Hubbard systems and considered the Raman intensity profile in the spin-1 2 "perfect" kagome lattice herbertsmithite ZnCu 3 ͑OH͒ 6 Cl 2 , assuming the ground state is well-described by the U͑1͒ Dirac spin-liquid state. In the derivation of the Raman T matrix, we found that the spin-chirality term appears in the A 2g channel in the kagome lattice at the t 4 / ͑ i − U͒ 3 order, but ͑contrary to the claims by Shastry and Shraiman͒ vanishes in the square lattice to that order. In the ensuing calculations on the spin-1 2 kagome lattice, we found that the Raman intensity profile in the E g channel is invariant under an arbitrary rotation in the kagome plane, and that in all ͑A 1g , E g , and A 2g ͒ symmetry channels the Raman intensity profile contains broad continua that display power-law behaviors at low energy, with exponent approximately equal to 1 in the A 2g channel and exponent approximately equal to 3 in the E g and the A 1g channels. For the A 2g channel, the Raman profile also contains a characteristic 1 / singularity, which arose in our model from an excitation of the emergent U͑1͒ gauge field.

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O17NMR Study of the Intrinsic Magnetic Susceptibility and Spin Dynamics of the Quantum Kagome AntiferromagnetZnCu3(OH

Cited by 273 publications

References 26 publications

Ba3MxTi3−xO9(M=Ir

Ba3MxTi3−xO9(M=Ir

Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-12deformed kagome lattice antiferromagnet

Raman signature of the U(1) Dirac spin-liquid state in the spin-12kagome system

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