Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice

Sklan, Sophia R.; Henley, Christopher L.

doi:10.1103/physrevb.88.024407

Cited by 26 publications

(30 citation statements)

References 59 publications

(74 reference statements)

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“…Non-coplanar ground states, similar to the ones we have found, have also been discovered in Heisenberg models on triangular, square, pyrochlore and octahedral lattices 26,27,35,36 . The interest in such phases stems from the fact that non-coplanar spin orderings are expected to give rise to an anomalous Hall effect 37 , due to the nonvanishing spin chirality.…”

Section: Double Cone Phases (4a) and (4b)supporting

confidence: 85%

Classical ground states of Heisenberg andXYantiferromagnets on the windmill lattice

Jeevanesan

Orth

2014

Phys. Rev. B

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We investigate the classical Heisenberg and planar (XY) models on the windmill lattice. The windmill lattice is formed out of two widely occurring lattice geometries: a triangular lattice is coupled to its dual honeycomb lattice. Using a combination of iterative minimization, heat-bath Monte Carlo simulations and analytical calculations, we determine the complete ground state phase diagram of both models and find the exact energies of the phases. The phase diagram shows a rich phenomenology due to competing interactions and hosts, in addition to collinear and various coplanar phases, also intricate non-coplanar phases. We briefly outline different paths to an experimental realization of these spin models. Our extensive study provides a starting point for the investigation of quantum and thermal fluctuation effects.

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Section: Double Cone Phases (4a) and (4b)supporting

confidence: 85%

Classical ground states of Heisenberg andXYantiferromagnets on the windmill lattice

Jeevanesan

Orth

2014

Phys. Rev. B

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“…The planar spiral order is stable against J 1 < 0 now becoming ferromagnetic (keeping J 2 > 0 antiferromagnetic), up to J 2 /J 1 = −0.68 (θ ≈ 145.78°). Beyond that point, the ground state changes to a noncoplanar structure, the so-called double-twist (DT) state, first uncovered in a frustrated antiferromagnet on an octahedral lattice [161]. Its name derives from the fact that the spins form two different kinds of spirals in two perpendicular directions but both governed by the same type of wave vector.…”

Section: A Classical Phase Diagrammentioning

confidence: 99%

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

et al. 2019

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We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin S in the presence of nearest-neighbor J1 and second-nearest-neighbor J2 exchange interactions. By employing the pseudofermion functional renormalization group method, we find, for S = 1/2 and S = 1, an extended quantum-spin-liquid phase centered around J2 = 0, which is shown to be robust against the introduction of breathing anisotropy. The effects of temperature, quantum fluctuations, breathing anisotropies, and a J2 coupling on the nature of the scattering profile, and the pinch points, in particular, are studied. For the magnetic phases of the J1-J2 model, quantum fluctuations are shown to renormalize phase boundaries compared to the classical model and to modify the ordering wave vectors of spiral magnetic states, while no new magnetic orders are stabilized. arXiv:1802.09546v3 [cond-mat.str-el] 9 Jan 2019 J 2 / J 1 = 0.22 J 2 / J 1 = 0.13 J 2 / J 1 = 0.06 J 2 / J 1 = 0 J 2 / J 1 = − 0.06 J 2 / J 1 = − 0.13 J 2 / J 1 = − 0.22

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“…These spin orders motivated us to seek the stability of non-coplanar incommensurate phases at intermediate and strong coupling and understand the potential for such novel magnetism to be discovered in materials. We show, by extending recipes to identify and classify states laid out previously 16 , that these novel complex orders arise from competing interactions introduced by the fermions near their Fermi surface. It therefore appears to be a weak coupling phenomena.…”

Section: Introductionmentioning

confidence: 95%

“…To draw these conclusions, we have plotted the optimal MC spin configurations {S opt i(α) }, with the tail of each spin vector at a common origin 16 as shown in Fig. 1.…”

Section: Complex Orders At Weak Couplingmentioning

confidence: 99%

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Phase diagram of the Kondo lattice model on the kagome lattice

2016

Self Cite

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We consider the potential for novel forms of magnetism arising from the subtle interplay between electrons and spins in the under-screened kagome Kondo lattice model. At weak coupling, we show that incommensurate non-coplanar multi-wave vector magnetic orders arise at nearly all fillings and that this results from Fermi surface effects that introduces competing interactions between the spins. At strong coupling, we find that such complex order survives near half filling despite the presence of ferromagnetism at all other fillings. We show this arises due to state selection among a massive degeneracy of states at infinite coupling. Finally, we show that at intermediate filling, only commensurate orders seem to survive. But these orders still include non-coplanar magnetism. So, the mere presence of both local moments and itinerant electrons enables complex orders to form unlike any currently observed in kagome materials.

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Nonplanar ground states of frustrated antiferromagnets on an octahedral lattice

Cited by 26 publications

References 59 publications

Classical ground states of Heisenberg andXYantiferromagnets on the windmill lattice

Classical ground states of Heisenberg andXYantiferromagnets on the windmill lattice

Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

Phase diagram of the Kondo lattice model on the kagome lattice

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