Magnetic susceptibilities in a family of<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>1</mml:mn><mml:mn>2</mml:mn></mml:mfrac></mml:mstyle></mml:mrow></mml:math>kagome antiferromagnets

Ono, Toshio; Morita, Katsuhiro; Yano, M.; Tanaka, Hidekazu; Fujii, Kotaro; Uekusa, Hidehiro; Narumi, Yasuo; Kindo, Koichi

doi:10.1103/physrevb.79.174407

Cited by 52 publications

(68 citation statements)

References 78 publications

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“…At room temperature, the structure is found to be similar to that described for single crystals of Cs2SnCu3F12 (Table S2 On cooling to 125 K, it is found that a phase transition has occurred. The unit cell is found to have doubled in the ab-plane and the symmetry reduced to R3 ̅ (comparative refinements in the higher symmetry R3 ̅ m gave significantly poorer fits), which is similar to that reported previously in reduced temperature single crystal studies of Cs2SnCu3F12 [11]. It was indeed anticipated that there would be a greater similarity between the Ti 4+ system and the Sn 4+ system, rather than the Zr 4+ analogue, as the phase transition in the latter is driven by a requirement for Zr 4+ to attain seven-coordination.…”

Section: Single Crystal X-ray Diffraction Of Cs2ticu3f12supporting

confidence: 73%

“…Earlier crystallographic studies [10] have shown that, although Cs2ZrCu3F12 adopts the aristotype structure at room temperature, a first-order structural phase transition occurs in cooling (~225 K), which may trigger the observed onset of a canted antiferromagnetic state at low temperatures (~24 K) rather than a QSL or other unconventional magnetic ground state. Magnetic studies have also shown long-range order rather than quantum-delocalised states for other members of the family, Cs2HfCu3F12 and Cs2SnCu3F12 [11]. In the case of Cs2ZrCu3F12, the structural phase transition, which breaks the perfection of the S = ½ kagome lattice and leads to a monoclinic unit cell, is related to the increase in Zr 4+ coordination from six to seven.…”

Section: +mentioning

confidence: 99%

“…The nature of this transition was originally suggested, from single crystal X-ray diffraction (SCXD), to be a doubling of the unit cell a and b parameters [11] (hexagonal setting of the rhombohedral cell) leading to a unit cell similar to that found for Rb2SnCu3F12 (see below). However, a recent powder diffraction study has shown that although there is indeed a distortion of the kagome lattice, the adoption of a monoclinic unit cell occurs.…”

Section: +mentioning

confidence: 99%

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Novel S = 1/2 Kagome Lattice Materials: Cs2TiCu3F12 and Rb2TiCu3F12

et al. 2015

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Abstract:Two new members of the A2B′Cu3F12 family of kagome-related materials have been prepared, in order to further understand the crystal-chemical relationships, phase transitions and magnetic behaviour within this family of potentially frustrated S = ½ two-dimensional quantum magnets. Cs2TiCu3F12 adopts a crystal structure with the ideal kagome lattice topology (space group R3 ̅ m) at ambient temperature. Diffraction studies reveal different symmetry-lowering structural phase transitions in single crystal and polycrystalline forms at sub-ambient temperatures, with the single crystal form retaining rhombohedral symmetry OPEN ACCESSCrystals 2015, 5 227 and the powder form being monoclinic. In both cases, long-range antiferromagnetic order occurs in the region 16-20 K. Rb2TiCu3F12 adopts a distorted triclinic structure even at ambient temperatures.

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Section: Single Crystal X-ray Diffraction Of Cs2ticu3f12supporting

confidence: 73%

Section: +mentioning

confidence: 99%

Section: +mentioning

confidence: 99%

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Novel S = 1/2 Kagome Lattice Materials: Cs2TiCu3F12 and Rb2TiCu3F12

et al. 2015

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“…Except the kagome compounds without magnetic order there are several kagome magnets which exhibit a phase transition to a long-range ordered state at a critical temperature T c . Examples are edwardsite [58], barlowite [59,60] or the family of kagome compounds Cs 2 Cu 3 MF 12 (M=Zr, Hf, Sn) [61][62][63]. For an overview on the relation between extended models and kagome compounds we refer the interested reader to Ref.…”

mentioning

confidence: 99%

“…It has been found that such modifications of the pure KAFM may play a crucial role either to modify the QSL state or even to establish GS magnetic LRO of √ 3 × √ 3 or of q = 0 symmetry. At that the input from experiments plays an important role to trigger the theoretical hunt for exotic quantum states [48][49][50][51][52][53][54][55][56][57][58][59][60][61][62][63][64]. Prominent examples for s = 1/2 kagome compounds are herbertsmithite [49][50][51][52][53] and kapellasite [54,55].…”

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confidence: 99%

The route to magnetic order in the spin-1/2 kagome Heisenberg antiferromagnet: The role of interlayer coupling

Götze¹,

Richter²

2016

EPL

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While the existence of a spin-liquid ground state of the spin-1/2 kagome Heisenberg antiferromagnet (KHAF) is well established, the discussion of the effect of an interlayer coupling (ILC) by controlled theoretical approaches is still lacking. Here we study this problem by using the coupledcluster method to high orders of approximation. We consider a stacked KHAF with a perpendicular ILC J ⊥ , where we study ferro-as well as antiferromagnetic J ⊥ . We find that the spin-liquid ground state (GS) persists until relatively large strengths of the ILC. Only if the strength of the ILC exceeds about 15% of the intralayer coupling the spin-liquid phase gives way for q = 0 magnetic long-range order, where the transition between both phases is continuous and the critical strength of the ILC, |J c ⊥ |, is almost independent of the sign of J ⊥ . Thus, by contrast to the quantum GS selection of the strictly two-dimensional KHAF at large spin s, the ILC leads first to a selection of the q = 0 GS. Only at larger |J ⊥ | the ILC drives a first-order transition to the √ 3 × √ 3 long-range ordered GS. As a result, the stacked spin-1/2 KHAF exhibits a rich GS phase diagram with two continuous and two discontinuous transitions driven by the ILC. Introduction.-The search for exotic quantum spin liquid (QSL) states and fractionalized quasiparticles in frustrated magnets attracts currently much attention both from the theoretical and experimental side. One of the most promising, fascinating, and, at same time, challenging problems is the investigation of the ground state (GS) of the quantum antiferromagnet on the kagome lattice. Over the last 25 years a plethora of theoretical approaches has been applied to understand the GS properties of the spin-1/2 kagome antiferromagnet (KAFM), see, e.g., Refs. [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Clearly, the GS of the s = 1/2 Heisenberg KAFM does not exhibit GS magnetic longrange order (LRO). However, there is a long-standing debate on the nature of the quantum GS. Recent largescale numerical studies [6,8,11] provide arguments for a gapped Z 2 topological QSL for spin s = 1/2. However, the gap state is not fully proven, and also a gapless spin liquid is suggested, see, e.g., Refs. [9,12,16].

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Degenerate ferrimagnetic ground state of frustrated kagome lattice

Yao

2010

Journal of Magnetism and Magnetic Materials

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Magnetic susceptibilities in a family ofS=12kagome antiferromagnets

Cited by 52 publications

References 78 publications

Novel S = 1/2 Kagome Lattice Materials: Cs2TiCu3F12 and Rb2TiCu3F12

Novel S = 1/2 Kagome Lattice Materials: Cs2TiCu3F12 and Rb2TiCu3F12

The route to magnetic order in the spin-1/2 kagome Heisenberg antiferromagnet: The role of interlayer coupling

Degenerate ferrimagnetic ground state of frustrated kagome lattice

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