Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagomé lattice

Elhajal, Maged; Canals, Benjamin; Lacroix, C.

doi:10.1103/physrevb.66.014422

Cited by 248 publications

(337 citation statements)

References 18 publications

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“…According to Ref. 28 we can conclude from our experimental findings that D is definitely not perpendicular to the kagome plane. In contrast, it has a significant in-plane component D p .…”

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confidence: 76%

Barlowite as a canted antiferromagnet: Theory and experiment

et al. 2015

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We investigate the structural, electronic and magnetic properties of the newly synthesized mineral barlowite Cu4(OH)6FBr which contains Cu 2+ ions in a perfect kagome arrangement. In contrast to the spin-liquid candidate herbertsmithite ZnCu3(OH)6Cl2, kagome layers in barlowite are perfectly aligned due to the different bonding environments adopted by F − and Br − compared to Cl − . We perform density functional theory calculations to obtain the Heisenberg Hamiltonian parameters of Cu4(OH)6FBr which has a Cu 2+ site coupling the kagome layers. The 3D network of exchange couplings together with a substantial Dzyaloshinskii-Moriya coupling lead to canted antiferromagnetic ordering of this compound at TN = 15 K as observed by magnetic susceptibility measurements on single crystals.

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“…According to Ref. 28 we can conclude from our experimental findings that D is definitely not perpendicular to the kagome plane. In contrast, it has a significant in-plane component D p .…”

mentioning

confidence: 76%

Barlowite as a canted antiferromagnet: Theory and experiment

et al. 2015

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“…Antiferromagnetic second-neighbor coupling (J 2 > 0) favors the q = 0 Néel order of this pattern on the Bravais lattice, whereas there are nine spins per unit cell for J 2 < 0 (q = √ 3 × √ 3 order). The effect of Dzyaloshinsky-Moriya interactions has also been analyzed 8 . To our knowledge the reduction of the order parameter by quantum fluctuations has only been studied through exact diagonalizations 9 .…”

Section: Theoretical and Experimental Issuesmentioning

confidence: 99%

Twelve sublattice ordered phase in theJ1−J2model on the kagomé lattice

Domenge¹,

Sindzingre²,

Lhuillier³

et al. 2005

Phys. Rev. B

110

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Motivated by recent experiments on an S = 1/2 antiferromagnet on the kagomé lattice, we investigate the Heisenberg J1 − J2 model with ferromagnetic J1 and antiferromagnetic J2. Classically the ground state displays Néel long-range order with 12 noncoplanar sublattices. The order parameter has the symmetry of a cuboctahedron, it fully breaks SO(3) as well as the spin flip symmetry, and we expect from the latter a Z2 symmetry breaking pattern. As might be expected from the Mermin-Wagner theorem in two dimensions, the SO(3) symmetry is restored by thermal fluctuations while the Z2 symmetry breaking persists up to a finite temperature. A complete study of S = 1/2 exact spectra reveals that the classical order subsists for quantum spins in a finite range of parameters. First-order spin wave calculations give the range of existence of this phase and the renormalizations at T = 0 of the order parameters associated to both symmetry breakings. This phase is destroyed by quantum fluctuations for a small but finite J2/|J1| ≃ 3, consistently with exact spectra studies, which indicate a gapped phase. I. THEORETICAL AND EXPERIMENTAL ISSUESWhatever the nature of the spin, classical or quantum, the first neighbor Heisenberg antiferromagnet on the kagomé lattice fails to display Néel-like long-range order. Classically, it is characterized by an extensive entropy 1,2 at T = 0. Quantum mechanically the spin-1/2 system has an exceptionally large density of low lying excitations 3,4 reminiscent of the classical extensive entropy. It is still debated whether and eventually how this degeneracy is lifted in the quantum limit 5,6 . An essential issue concerns the influence of perturbations: classically the effect of a second neighbor coupling J 2 has been very early studied by Harris and co-workers 7 . They showed that an infinitesimal J 2 is sufficient to drive the system toward an ordered phase with the three spins around a triangle pointing 120 • from each other. Antiferromagnetic second-neighbor coupling (J 2 > 0) favors the q = 0 Néel order of this pattern on the Bravais lattice, whereas there are nine spins per unit cell for J 2 < 0 (q = √ 3 × √ 3 order). The effect of Dzyaloshinsky-Moriya interactions has also been analyzed 8 . To our knowledge the reduction of the order parameter by quantum fluctuations has only been studied through exact diagonalizations 9 . This approach points to an immediate transition from the "disordered phase" at the pure J 1 > 0 point, to the semiclassical Néel phases.Up until now the J 1 − J 2 model on the kagomé lattice has only been studied for antiferromagnetic J 1 . Many magnetic compounds 10-13 with this geometry have been studied so far, but most of them have spin S = 3/2. A few compounds with S = 1/2 Cu ions have recently been synthetized [14][15][16] . None of them can be described by a pure isotropic first neighbor antiferromagnetic Heisenberg model. Recent experimental work on an organic compound with copper ions on a kagomé lattice 17 gives indication of competing ferromagnetic and antiferrom...

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“…For instance, an antiferromagnetically coupled spin system on the kagomé lattice is highly frustrated and exhibits a quantum disordered spin-liquid state 1 and novel magnetically ordered states with nontrivial spin textures [2][3][4][5] . The geometric spin frustration is one of the most intriguing issues in recent condensed-matter physics [6][7][8][9] . The asymmetric Dzaloshinski-Moriya (DM) interaction is another driving force to nontrivial spin textures in the kagomé magnets [8][9][10][11] .…”

Section: Introductionmentioning

confidence: 99%

“…The geometric spin frustration is one of the most intriguing issues in recent condensed-matter physics [6][7][8][9] . The asymmetric Dzaloshinski-Moriya (DM) interaction is another driving force to nontrivial spin textures in the kagomé magnets [8][9][10][11] . The DM interaction can stabilize noncollinear ferro-and antiferromagnetic orders, resulting in spiral or canted spin structures.…”

Section: Introductionmentioning

confidence: 99%

Low-field anomalous magnetic phase in the kagome-lattice shandite Co3Sn2S2

et al. 2017

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The magnetization process of single crystals of the metallic kagomé ferromagnet Co 3 Sn 2 S 2 was carefully measured via magnetization and AC susceptibility. Field-dependent anomalous transitions observed in low fields indicate the presence of an unconventional magnetic phase just below the Curie temperature, T C . The magnetic phase diagrams in low magnetic fields along different crystallographic directions were determined for the first time. The magnetic relaxation measurements at various frequencies covering five orders of magnitude from 0.01 to 1000 Hz indicate markedly slow spin dynamics only in the anomalous phase with characteristic relaxation times longer than 10 s.

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Symmetry breaking due to Dzyaloshinsky-Moriya interactions in the kagomé lattice

Cited by 248 publications

References 18 publications

Barlowite as a canted antiferromagnet: Theory and experiment

Barlowite as a canted antiferromagnet: Theory and experiment

Twelve sublattice ordered phase in theJ1−J2model on the kagomé lattice

Low-field anomalous magnetic phase in the kagome-lattice shandite Co3Sn2S2

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