Coexistence of Long-Range Order and Spin Fluctuation in Geometrically Frustrated Clinoatacamite<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Cu</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:mi>Cl</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>OH</mml:mi><mml:msub><mml:mo stretchy="false">)</mml:mo><mml:mn>3</mml:mn></mml:msub></mml:math>

鄭, 旭光; Kubozono, H.; Nishiyama, K.; Higemoto, Wataru; Kawae, Tatsuya; Koda, A.; Xu, Chao‐Nan

doi:10.1103/physrevlett.95.057201

Cited by 119 publications

(86 citation statements)

References 18 publications

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“…The third, associated with Cu(OH) 6 octahedra, sits on a distorted triangular layer and connects these layers, leading to ABC stacking of the kagome layers, much like what is seen in the iron jarosites. The material has interesting magnetic properties Zheng, Kubozono et al, 2005). The main thermodynamic signature for ordering is at 6.5 K, and is consistent with a transition into a canted antiferromagnetic (AF) state.…”

Section: A Botallackite Atacamite Clinoatacamitementioning

confidence: 74%

Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the appearance of magnetism. In two dimensions, the classic example is the kagome lattice composed of corner sharing triangles. There are a variety of minerals whose transition metal ions form such a lattice. Hence, a number of them have been studied, and were then subsequently synthesized in order to obtain more pristine samples. Of particular note was the report in 2005 by Dan Nocera's group of the synthesis of herbertsmithite, composed of a lattice of copper ions sitting on a kagome lattice, which indeed does not order down to the lowest measured temperature despite the existence of a large exchange interaction of 17 meV. Over the past decade, this material has been extensively studied, yielding a number of intriguing surprises that have in turn motivated a resurgence of interest in the theoretical study of the spin 1 2 Heisenberg model on a kagome lattice. In this colloquium article, I will review these developments, and then discuss potential future directions, both experimental and theoretical, as well as the challenge of doping these materials with the hope that this could lead to the discovery of novel topological and superconducting phases.

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Section: A Botallackite Atacamite Clinoatacamitementioning

confidence: 74%

Colloquium : Herbertsmithite and the search for the quantum spin liquid

2016

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“…20). In contrast, the off-stoichiometric so-called paratacamites of formula Zn x Cu 4 − x (OH) 6 Cl 2 assume partly frozen states at LT, with two magnetic transitions finally observed at 18.1 and 6.5 K for the end member (x = 0), clinoatacamite 4,[21][22][23] . The tendency to magnetic order in paratacamites may be induced by interplane couplings through Cu defect spins at the Zn site between the kagomé layers, as well as the likely presence of a sizable Dzyaloshinsky-Moriya term.…”

Section: Discussionmentioning

confidence: 99%

Orbital switching in a frustrated magnet

et al. 2012

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The orbital is one of the four fundamental degrees of freedom in a solid, besides spin, charge and lattice. In transition metal compounds, it is usually the d orbitals which play deciding roles in determining the crystallographic and physical properties. Here we report the discovery of a unique structural transition in single crystals of the spin-1/2 quasi-kagomé antiferromagnet volborthite, Cu 3 V 2 o 7 (oH) 2 ·2H 2 o, whereby the unpaired electron 'switches' from one d orbital to another upon cooling. This is not a conventional orbital order-disorder transition, but rather an orbital switching that has not previously been observed. The structural transition is found to profoundly affect the magnetic properties of volborthite, because magnetic interactions between Cu spins in the kagomé lattice are considerably modified by the orbital switching. This finding provides us with an interesting example to illustrate the intimate interplay between the orbital degree of freedom and competing magnetic interactions in a frustrated magnet.

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“…5(a)]. The position of one of the peaks, captured in the ED calculations both for the pure kagomé and the model for clinoatacamite at T ∼ 0.1, approximately coincides with the 18 K peak observed in the experiments, considering J ∼ 193 K. 13,14,18 The existence of such a peak in the specific heat of the kagome lattice Heisenberg model has been a topic of discussion for a long time, 21,[24][25][26] and the experiments with the clinoatacamite compound may have provided a proof of its existence. On the other hand, the only peak of the specific heat for the finite-size pyrochlore lattice from ED is at T ∼ 0.3.…”

Section: A Thermodynamics Of Clinoatacamitementioning

confidence: 99%

“…The mineral is the extension of the Zn-paratacamite family to x = 0, with the monoclinic distortion that occurs for x < 0.3. Clinoatacamite has drawn attention in recent years [13][14][15][16][17][18] in part due to its unique pyrochlore structure and in part due to the still unexplained nature of successive phase transitions. Some studies 15,18 have described the lattice as consisting of distorted kagomé layers coupled weakly through triangular layers of out-of-plane spins.…”

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confidence: 99%

Numerical study of the thermodynamics of clinoatacamite

2012

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We study thermodynamic properties of the clinoatacamite compound, Cu2(OH)3Cl, by considering several approximate models. They include, the Heisenberg model on (i) the uniform pyrochlore lattice, (ii) a very anisotropic pyrochlore lattice, and (iii) a kagomé lattice weakly coupled to spins that sit on a triangular lattice. We utilize exact diagonalization of small clusters with periodic boundary conditions and implement a numerical linked-cluster expansion approach for quantum lattice models with reduced symmetries, which allows us to solve model (iii) in the thermodynamic limit. We find a very good agreement between the experimental uniform susceptibility and the numerical results for models (ii) and (iii), which suggest a weak ferromagnetic coupling between the kagomé and triangular layers in clinoatacamite. We also study these thermodynamic quantities in a geometrical transition between a planar pyrochlore lattice and the kagomé lattice.

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Coexistence of Long-Range Order and Spin Fluctuation in Geometrically Frustrated ClinoatacamiteCu2Cl(OH)3

Cited by 119 publications

References 18 publications

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Colloquium : Herbertsmithite and the search for the quantum spin liquid

Orbital switching in a frustrated magnet

Numerical study of the thermodynamics of clinoatacamite

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