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The face-centered-cubic lattice is composed of edge-sharing tetrahedra, making it a leading candidate host for strongly frustrated magnetism, but relatively few face-centered frustrated materials have been investigated. In the hydroxide…

We perform a general study of spin ordering on the pyrochlore lattice with a 3:1 proportionality of two spin polarizations. Equivalently, this describes valence bond solid conformations of a quantum dimer model on the diamond lattice. We…

强关联电子 · 物理学 2007-05-23 Doron L. Bergman , Gregory A. Fiete , Leon Balents

Motivated by the absence of both spin freezing and a cooperative Jahn-Teller effect at the lowest measured temperatures, we study the ground state of Ba3CuSb2O9. We solve a general spin-orbital model on both the honeycomb and the decorated…

强关联电子 · 物理学 2014-10-02 Andrew Smerald , Frederic Mila

Spiral spin liquids are correlated states of matter in which a frustrated magnetic system evades order by fluctuating between a set of (nearly) degenerate spin spirals. Here, we investigate the response of spiral spin liquids to quenched…

强关联电子 · 物理学 2024-02-29 Pedro M. Cônsoli , Matthias Vojta

We examine the stability of classical states with a generic incommensurate spiral order against quantum fluctuations. Specifically, we focus on the frustrated spin-1/2 $XY$ and Heisenberg models on the honeycomb lattice with…

强关联电子 · 物理学 2014-04-01 Andrea Di Ciolo , Juan Carrasquilla , Federico Becca , Marcos Rigol , Victor Galitski

We demonstrate the versatility, simplicity, and power of the minimally-augmented spin-wave theory in studying phase diagrams of the quantum spin models in which unexpected magnetically ordered phases occur or the existing ones expand beyond…

强关联电子 · 物理学 2025-11-13 A. L. Chernyshev

The search for Kitaev's quantum spin liquid (KQSL) state in real materials has recently expanded with the prediction that honeycomb lattices of divalent, high-spin cobalt ions could host the dominant bond-dependent exchange interactions…

Incommensurate spiral order is a common occurrence in frustrated magnetic insulators. Typically, all magnetic moments rotate uniformly, through the same wavevector. However the honeycomb iridates family Li2IrO3 shows an incommensurate order…

强关联电子 · 物理学 2016-11-23 Itamar Kimchi , Radu Coldea

Spin-orbital generalization of Kitaev model provides a robust extension to the original Kitaev model. However, real materials often exhibit competing interactions that break exact solvability which can give rise to new phases. Motivated by…

强关联电子 · 物理学 2026-05-07 Ivan Dutta , Aayush Vijayvargia , Anamitra Mukherjee , Onur Erten , Kush Saha

Recent theoretical and experimental advances have identified cobaltates with a high-spin $d^7$ electronic configuration as promising hosts for spin-orbit entangled $J_{eff} = 1/2$ magnetism that can support bond-dependent exchange…

强关联电子 · 物理学 2026-05-21 Ritwik Das , Soumen Basak , Mohammad Rezwan Habib , Indra Dasgupta

The crystal structure, magnetic ground state, and the temperature dependent microscopic spin-spin correlations of the frustrated honeycomb lattice antiferromagnet Na2Co2TeO6 have been investigated by powder neutron diffraction. A three…

强关联电子 · 物理学 2017-03-29 A. K. Bera , S. M. Yusuf , Amit Kumar , C. Ritter

The discovery of massless Dirac electrons in graphene and topological Dirac-Weyl materials has prompted a broad search for bosonic analogues of such Dirac particles. Recent experiments have found evidence for Dirac magnons above an…

强关联电子 · 物理学 2020-03-18 Bo Yuan , Ilia Khait , Guo-Jiun Shu , F. C. Chou , M. B. Stone , J. P. Clancy , Arun Paramekanti , Young-June Kim

Frustration in magnetic interactions can give rise to disordered ground states with subtle and beautiful properties. The spin ices Ho2Ti2O7 and Dy2Ti2O7 exemplify this phenomenon, displaying a classical spin liquid state, with…

强关联电子 · 物理学 2017-12-11 Mathieu Taillefumier , Owen Benton , Han Yan , L. D. C. Jaubert , Nic Shannon

Previous studies of the $S=1/2$ triangular-lattice $J_1$--$J_2$ Heisenberg antiferromagnet have inferred the existence of a non-magnetic ground-state phase for an intermediate range of $J_2$, but disagree concerning whether it is a gapped…

强关联电子 · 物理学 2026-02-17 Shengtao Jiang , Steven R. White , Steven A. Kivelson , Hong-Chen Jiang

Frustration in quantum spin systems promote a variety of novel quantum phases. An important example is the frustrated spin-$1$ model on the square lattice with the nearest-neighbor bilinear ($J_1$) and biquadratic ($K_1$) interactions. We…

强关联电子 · 物理学 2019-11-06 Wen-Jun Hu , Shou-Shu Gong , Hsin-Hua Lai , Haoyu Hu , Qimiao Si , Andriy H. Nevidomskyy

We explore the potential experimental realization of the mixed-spin Kitaev model in materials such as Zr$_{0.5}$Ru$_{0.5}$Cl$_3$, where spin-1/2 and spin-3/2 ions occupy distinct sublattices of a honeycomb lattice. By developing a…

强关联电子 · 物理学 2025-05-09 Willian Natori , Yang Yang , Hui-Ke Jin , Johannes Knolle , Natalia B. Perkins

The standard approach to realize a spin liquid state is through magnetically frustrated states, relying on ingredients such as the lattice geometry, dimensionality, and magnetic interaction type of the spins. While Heisenberg spins on a…

强关联电子 · 物理学 2025-04-10 Margarita G. Dronova , Vaclav Petricek , Zachary Morgan , Feng Ye , Daniel M. Silevitch , Yejun Feng

Magnetic pyrochlore oxides, including the spin ice materials, have proved to be a rich field for the study of geometrical frustration in 3 dimensions. Recently, a new family of magnetic oxides has been synthesised in which the half of the…

强关联电子 · 物理学 2015-12-08 Owen Benton , Nic Shannon

We report the finding of a series of symmetry distinct spin liquid (SL) states and a rich phase diagram in a half-filled honeycomb lattice Hubbard model with spin-dependent hopping amplitude t'. We first study the magnetic instability of…

强关联电子 · 物理学 2015-06-17 Long Liang , Ziqiang Wang , Yue Yu

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…