Spin Liquid State in the 3D Frustrated Antiferromagnet<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi>PbCuTe</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">O</mml:mi></mml:mrow><mml:mrow><mml:mn>6</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:mrow></mml:math>: NMR and Muon Spin Relaxation Studies

Khuntia, P.; Bert, F.; Mendels, P.; Koteswararao, B.; Mahajan, A. V.; Baenitz, M.; Chou, F. C.; Baines, C.; Amato, A.; Furukawa, Yuji

doi:10.1103/physrevlett.116.107203

Cited by 67 publications

(75 citation statements)

References 36 publications

(46 reference statements)

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“…Finally, we point out that hyperkagome lattice structure is also found in the material PbCuTe 2 O 6 in recent experiments [27,28]. The three-dimensional network of Cu 2+ constitutes a hyperkagome lattice, where both thermodynamic [27] and µSR, NMR [28] experiments suggest a spin liquid ground state, a gapless one as indicated by NMR data [28]. Therefore, our classification and gapless analysis of spin liquid states on hyperkagome lattices pave the road for further understanding the property of PbCuTe 2 O 6 in the future.…”

Section: Discussion and Outlooksupporting

confidence: 64%

Interplay of nonsymmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na4Ir3O8

2017

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Na 4 Ir 3 O 8 provides a material platform to study three-dimensional quantum spin liquids in the geometrically frustrated hyperkagome lattice of Ir 4+ ions. In this work, we consider quantum spin liquids on hyperkagome lattice for generic spin models, focusing on the effects of anisotropic spin interactions. In particular, we classify possible Z 2 and U(1) spin liquid states, following the projective symmetry group analysis in the slave-fermion representation. There are only three distinct Z 2 spin liquids, together with 2 different U(1) spin liquids. The nonsymmorphic space group symmetry of hyperkagome lattice plays a vital role in simplifying the classification, forbidding "π-flux" or "staggered-flux" phases in contrast to symmorphic space groups. We further prove that both U(1) states and one Z 2 state among all 3 are symmetry-protected gapless spin liquids, robust against any symmetry-preserving perturbations. Motivated by the "spin-freezing" behavior recently observed in Na 4 Ir 3 O 8 at low temperatures, we further investigate the nearest-neighbor spin model with dominant Heisenberg interaction subject to all possible anisotropic perturbations from spin-orbit couplings. We found a U(1) spin liquid ground state with spinon fermi surfaces is energetically favored over Z 2 states. Among all spin-orbit coupling terms, we show that only Dzyaloshinskii-Moriya (DM) interaction can induce spin anisotropy in the ground state when perturbing from the isotropic Heisenberg limit. Our work paves the way for a systematic study of quantum spin liquids in various materials with a hyperkagome crystal structure.

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Section: Discussion and Outlooksupporting

confidence: 64%

Interplay of nonsymmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na4Ir3O8

2017

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“…Hyperkagome PbCuTe 2 O 6 .-More recently, another hyperkagome lattice compound PbCuTe 2 O 6 was synthesized 38 and suggested to be a candidate for quantum spin liquid 39 , where spins come from Cu 2+ (3d 9 ) ions and crystallize a Cu-based hyperkagome network. It is different from Na 4 Ir 3 O 8 , where Ir atoms are much larger than sodium and oxygen, that the 5p orbitals in Te atoms are extensive in the choloalite compound PbCuTe 2 O 6 .…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum order in hyperkagome antiferromagnets

Jin

Zhou

2020

Phys. Rev. B

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Motivated by recent experiments and density functional theory calculations on a choloalite PbCuTe2O6, which possesses a Cu-based three-dimensional hyperkagome lattice, we propose and study a J1-J2-J3 antiferromagnetic Heisenberg model on a hyperkagome lattice. In the classical limit, possible ground states are analyzed by two triangle rules, i.e., the "hyperkagome triangle rule" and the "isolated triangle rule", and classical Monte-Carlo simulations are exploited to identify possible classical magnetic ordering and explore the phase diagram. In the quantum regime, Schwinger boson theory is applied to study possible quantum spin liquid states and long-range magnetically ordered states on an equal footing. These quantum states with bosonic partons are classified and analyzed by using projective symmetry group (PSG). It is found that there are only four types of algebraic PSGs allowed by the space group P 4132 on a hyperkagome lattice. Moreover, there are only two types of PSGs that are compatible with the J1-J2-J3 Heisenberg model. These two types of Z2 bosonic states are distinct by the gauge-invariant flux on the elementary ten-site loops on the hyperkagome network, called zero-flux state and π-flux state respectively. Both the zero-flux state and the π-flux state are able to give rise to quantum spin liquid states as well as magnetically ordered states. And the zero-flux states and the π-flux states can be distinguished by the spin spectral function S(q, ω), which can be measured by inelastic neutron scattering experiments.

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“…Few realizations of such a structure have been discovered. The main examples are the garnets of formula X 3 A 2 B 3 O 12 (with X a magnetic element, and A,B nonmagnetic elements), the iridate compound Na 4 Ir 3 O 8 [2][3][4], and more recently PbCuTe 2 O 6 [5]. While the last two compounds are studied for their properties related to quantum effects, many studies on the frustration in magnetic garnets have focused on the gadolinium gallium garnet GGG (formula Gd 3 Ga 5 O 12 ), considered as an archetypal system to study the classical Heisenberg model with antiferromagnetic interactions on the hyperkagome lattice.…”

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confidence: 99%

Absence of magnetic ordering and field-induced phase diagram in the gadolinium aluminum garnet

et al. 2017

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The robustness of spin liquids with respect to small perturbations, and the way magnetic frustration can be lifted by slight changes in the balance between competing magnetic interactions, remains a rich and open issue. We address this question through the study of the gadolinium aluminum garnet Gd 3 Al 5 O 12 , a related compound to the extensively studied Gd 3 Ga 5 O 12 . We report on its magnetic properties at very low temperatures. We show that despite a freezing at about 300 mK, no magnetic transition is observed, suggesting the presence of a spin-liquid state down to the lowest temperatures, similarly to Gd 3 Ga 5 O 12 , in spite of a larger ratio between exchange and dipolar interactions. Finally, the phase diagram as a function of field and temperature is strongly reminiscent of the one reported in Gd 3 Ga 5 O 12 . This study reveals the robust nature of the spin-liquid phase for Gd ions on the garnet lattice, in stark contrast to Gd ions on the pyrochlore lattice for which a slight perturbation drives the compound into a range of magnetically ordered states. DOI: 10.1103/PhysRevB.96.220413 In the last few decades, great interest has been devoted to the study of frustrated systems. In particular, in geometrically frustrated magnetic systems, a competition between exchange energies is induced by the geometry of the lattice. It prevents conventional magnetic ordering, resulting in exotic correlations and ground states that can remain disordered down to zero temperature [1]. Additional perturbations such as exchange interactions beyond the nearest-neighbor exchange, dipolar interactions, quantum fluctuations, or disorder can then play a crucial role and select a unique ground state in the system. The characterization of the robustness of the frustrated ground states with respect to these perturbations is thus an important question.Among the lattices that are prone to exhibit magnetic frustration, an interesting example is the hyperkagome structure, a three-dimensional lattice of corner-sharing triangles. Few realizations of such a structure have been discovered. The main examples are the garnets of formula X 3 A 2 B 3 O 12 (with X a magnetic element, and A,B nonmagnetic elements), the iridate compound Na 4 Ir 3 O 8 [2][3][4], and more recently PbCuTe 2 O 6 [5]. While the last two compounds are studied for their properties related to quantum effects, many studies on the frustration in magnetic garnets have focused on the gadolinium gallium garnet GGG (formula Gd 3 Ga 5 O 12 ), considered as an archetypal system to study the classical Heisenberg model with antiferromagnetic interactions on the hyperkagome lattice. The interesting physics in this compound is derived directly from the peculiar structure, Gd ions positioned on two interpenetrating hyperkagome lattices (see Fig. 1), and the effect of the long-range dipolar interactions on the ground state.Experimentally, GGG presents no evidence of conventional long-range ordering down to 25 mK [6]. Short-range correla-* elsa.lhotel@neel.cnrs.fr † Present addr...

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Spin Liquid State in the 3D Frustrated AntiferromagnetPbCuTe2O6: NMR and Muon Spin Relaxation Studies

Cited by 67 publications

References 36 publications

Interplay of nonsymmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na4Ir3O8

Interplay of nonsymmorphic symmetry and spin-orbit coupling in hyperkagome spin liquids: Applications to Na4Ir3O8

Classical and quantum order in hyperkagome antiferromagnets

Absence of magnetic ordering and field-induced phase diagram in the gadolinium aluminum garnet

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