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On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

We present an extensive overview of the phase diagram, spin-wave excitations, and finite-temperature transitions of the anisotropic-exchange magnets on an ideal nearest-neighbor triangular lattice. We investigate transitions between five…

Strongly Correlated Electrons · Physics 2022-02-23 P. A. Maksimov , Zhenyue Zhu , Steven R. White , A. L. Chernyshev

One of the key questions concerning frustrated lattices that has lately emerged is the role of disorder in inducing spin-liquid-like properties. In this context, the quantum kagome antiferromagnets YCu$_3$(OH)$_6$Cl$_3$, which has been…

Strongly Correlated Electrons · Physics 2019-07-02 A. Zorko , M. Pregelj , M. Klanjšek , M. Gomilšek , Z. Jagličić , J. S. Lord , J. A. T. Verezhak , T. Shang , W. Sun , J. -X. Mi

We report the synthesis, crystal structure, and magnetic properties of two new quantum antiferromagnets A3ReO5Cl2 (A = Sr and Ba). The crystal structure is isostructural with the mineral pinalite Pb3WO5Cl2, in which the Re6+ ion is…

Strongly Correlated Electrons · Physics 2021-04-06 Daigorou Hirai , Takeshi Yajima , Kazuhiro Nawa , Mitsuaki Kawamura , Zenji Hiroi

The ground state of the quantum spin system kappa-(BEDT-TTF)2Cu2(CN)3 in which antiferromagnetically-interacting S=1/2 spins are located on a nearly equilateral triangular lattice attracts considerable interest both from experimental and…

Magnetic frustration in metallic rare earth lanthanides ($Ln$) with $4f$-electrons is crucial for producing interesting magnetic phases with high magnetic anisotropy where intertwined charge and spin degrees of freedom lead to novel…

Strongly Correlated Electrons · Physics 2022-10-05 Ian A. Leahy , Keke Feng , Roei Dey , Ryan Baumbach , Minhyea Lee

The hexagonal polymorph of Ba$_3$Tb(BO$_3$)$_3$ contains Tb$^{3+}$ ions on a quasi-2D triangular lattice, resulting in geometric magnetic frustration. Powder samples of Ba$_3$Tb(BO$_3$)$_3$ have been investigated using specific heat, powder…

Strongly Correlated Electrons · Physics 2025-02-21 Nicola Kelly , Manh Duc Le , Denis Sheptyakov , Camilla Tacconis , Cheng Liu , Gavin Stenning , Peter Baker , Siân Dutton

A spin-1/2 triangular-lattice antiferromagnet is a prototypical frustrated quantum magnet, which exhibits remarkable quantum many-body effects that arise from the synergy between geometric spin frustration and quantum fluctuations. It can…

The magnetization and specific heat measurements have been performed on single-crystalline Gd_3_Ru_4_Al_12_ with a distorted Kagome lattice structure. This spin system is regarded as an antiferromagnetic triangular lattice of XY like…

Strongly Correlated Electrons · Physics 2023-02-08 S. Nakamura , N. Kabeya , M. Kobayashi , K. Araki , K. Katoh , A. Ochiai

We have studied the antiferromagnetic Ising model on the icosahedral bcc lattice, as a model system of 1/1 approximant Tsai-type quasicrystals. We addressed thermal equilibrium properties of this system with Markov-chain Monte Carlo…

Strongly Correlated Electrons · Physics 2026-04-03 Oscar Novat , Ludovic D. C. Jaubert , Masafumi Udagawa

We use spin wave theory to investigate the ground state properties of the $Z_2$-invariant quantum XXZ model on the triangular lattice in the ferromagnetic phase. The Hamiltonian comprises nearest and next-nearest-neighbour Ising couplings,…

Strongly Correlated Electrons · Physics 2016-04-06 S. A. Owerre

Antiferromagnetically coupled S=1/2 spins on an isotropic triangular lattice is the paradigm of frustrated quantum magnetism, but structurally ideal realizations are rare. Here we investigate NaYbO$_2$, which hosts an ideal triangular…

The magnetic behavior of the Ca3Co2O6 spin chain compound is characterized by a large Ising-like character of its ferromagnetic chains, set on triangular lattice, that are antiferromagnetically coupled. At low temperature, T < 7K, the 3D…

Strongly Correlated Electrons · Physics 2007-05-23 A. Maignan , V. Hardy , S. Hebert , M. Drillon , M. R. Lees , O. Petrenko , D. Mc K. Paul , D. Khomskii

Moir\'e transition metal dichalcogenide (TMD) systems provide a tunable platform for studying electron-correlation driven quantum phases. Such phases have so far been found at rational fillings of the moir\'e superlattice, and it is…

The two-dimensional triangular-lattice antiferromagnet (TLAF) is a textbook example of frustrated magnetic systems. Despite its simplicity, the TLAF model exhibits a highly rich and complex magnetic phase diagram, featuring numerous…

Two-dimensional high-spin bipartite honeycomb networks, where anisotropy, competing exchange interactions, and spin fluctuations interplay, provide an alternative platform to test theoretical models that distinguish between classical and…

Strongly Correlated Electrons · Physics 2026-05-05 M. Barik , Q. Faure , F. Damay , J. P. Embs , S. Petit , P. Khuntia

A supersolid is a quantum-entangled state of matter exhibiting the dual characteristics of superfluidity and solidity. Theory predicts that hard-core bosons with repulsive interactions on a triangular lattice can form supersolid phases at…

Using large-scale quantum Monte Carlo simulations we show that a spin-$1/2$ XXZ model on a two-dimensional anisotropic Kagome lattice exhibits a tripartite entangled plaquette state that preserves all of the Hamiltonian symmetries. It is…

Strongly Correlated Electrons · Physics 2017-08-09 Juan Carrasquilla , Gang Chen , Roger G. Melko

The S = 1/2 triangular lattice antiferromagnet (TLAF) is a paradigmatic example of frustrated quantum magnetism. An ongoing challenge involves understanding the influence of exchange anisotropy on the collective behavior within such…

The three-dimensional (3D) magnet KBaFe$_2$(PO$_4$)$_3$ hosts a double-trillium lattice of Fe$^{3+}$ (spin, $S=5/2$) ions offering a prototypical platform to study the frustration induced effects in 3D. Through magnetization, specific heat,…

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