Kagomé Antiferromagnets: Materials Vs. Spin Liquid Behaviors

Mendels, P.; Wills, A. S.

doi:10.1007/978-3-642-10589-0_9

Cited by 20 publications

(31 citation statements)

References 117 publications

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“…However, it has been argued that at T = 0 the spin order should be that of the three-state Potts model, 11 which is known to exhibit a weak first order transition at a nonzero temperature in 3D. Three-dimensional structures are formed from weakly coupled ABC stacked Kagomé layers of magnetic ions in the family of compounds with rhombohedral symmetry known as the jarosites, AB 3 (SO 4 )(OH) 6 , where a variety of experimental results suggest long range spin order of the q = 0, 120 0 -type, below temperatures in the range of 1 -60 K. 13,14 Stacked Kagomé layers have recently been investigated in an Fe-based metallo-organic compound which exhibits spin dynamics driven by frustration-induced domain walls. 4 Numerical simulations of the magnetic phase transitions in these systems have not been reported.…”

Section: 9mentioning

confidence: 99%

Monte Carlo simulations of magnetic ordering in the fcc kagome lattice

et al. 2012

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Monte Carlo simulation results are reported on magnetic ordering in ABC stacked Kagomé layers with fcc symmetry for both XY and Heisenberg models which include exchange interactions with the eight near-neighbors. Well known degeneracies of the 2D system persist in the 3D case and analysis of the numerical data provides strong evidence for a fluctuation-driven first-order transition to welldefined long-range order characterized as the layered q = 0 (120-degree) spin structure. Effects of varying the inter-layer coupling are also examined. The results are relevant to understanding the role of frustration in IrMn3 alloys widely used by the magnetic storage industry as thin-films in the antiferromagnetic pinning layer in GMR and TMR spin valves. Despite the technological importance of this structure, it has not previously been noted that the magnetic Mn-ions of fcc IrMn3 form Kagomé layers.

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Section: 9mentioning

confidence: 99%

Monte Carlo simulations of magnetic ordering in the fcc kagome lattice

et al. 2012

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“…The latter is the most frustrated two-dimensional lattice and, as a function of the electron filling, possesses several induced local constraint phases. At half filling, under strong Hubbard repulsion, several possible ground states have been proposed for the Heisenberg model 19 , ranging from valence bond solids [20][21][22][23][24] to various spin liquids such as a U(1) algebraic 25 , a triplet-gapped 26 and a Z 2 topological state with anyonic excitations [27][28][29] . At intermediate interaction and for various fillings, original electronic features have recently been pointed out, such as peculiar Mott transition 30,31 , anomalous quantum Hall effects 32,33 , Fermi surface instabilities 34 , competing orders 35 , and even anyonic states 36 , to name a few.…”

Section: Introductionmentioning

confidence: 99%

Phase diagram of the13-filled extended Hubbard model on the kagome lattice

Ferhat

Ralko

2014

Phys. Rev. B

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We study the phase diagram of the extended Hubbard model on the kagome lattice at 1/3 filling. By combining a configuration interaction approach to an unrestricted Hartree-Fock, we construct an effective Hamiltonian which takes the correlations back on top of the mean-field solution. We obtain a rich phase diagram with, in particular, the presence of two original phases. The first one consists of local polarized droplets of metal standing on the hexagons of the lattice, and an enlarged kagome charge order, inversely polarized, on the remaining sites. The second, obeying a local ice-rule type constraint on the triangles of the kagome lattice, is driven by an antiferromagnetically coupling of spins and is constituted of disconnected six-spin singlet rings. The nature and stability of these phases at large interactions are studied via trial wave functions and perturbation theory.

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“…As a final remark, let us briefly comment on possible experimental realization of the BFG model. Because of the artificial interactions required to build the ice manifold of the BFG model, it is difficult to make direct connections between the model we considered and the existing Kagome compounds [70]. However, it remains an interesting prospect to investigate whether such toy models could be realized experimentally in tunable artificial systems.…”

Section: Discussionmentioning

confidence: 99%

Magnetization plateaus of an easy-axis kagome antiferromagnet with extended interactions

et al. 2015

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We investigate the properties in finite magnetic field of an extended anisotropic XXZ spin-1/2 model on the Kagomé lattice, originally introduced by Balents, Fisher, and Girvin [Phys. Rev. B, 65, 224412 (2002)]. The magnetization curve displays plateaus at magnetization m = 1/6 and 1/3 when the anisotropy is large. Using low-energy effective constrained models (quantum loop and quantum dimer models), we discuss the nature of the plateau phases, found to be crystals that break discrete rotation and/or translation symmetries. Large-scale quantum Monte-Carlo simulations were carried out in particular for the m = 1/6 plateau. We first map out the phase diagram of the effective quantum loop model with an additional loop-loop interaction to find stripe order around the point relevant for the original model as well as a topological Z2 spin liquid. The existence of a stripe crystalline phase is further evidenced by measuring both standard structure factor and entanglement entropy of the original microscopic model.

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Kagomé Antiferromagnets: Materials Vs. Spin Liquid Behaviors

Cited by 20 publications

References 117 publications

Monte Carlo simulations of magnetic ordering in the fcc kagome lattice

Monte Carlo simulations of magnetic ordering in the fcc kagome lattice

Phase diagram of the13-filled extended Hubbard model on the kagome lattice

Magnetization plateaus of an easy-axis kagome antiferromagnet with extended interactions

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