Schwinger-boson approach to the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions: Phase diagram and dynamical structure factors

Messio, Laura; Cepas, Olivier; Lhuillier, C.

doi:10.1103/physrevb.81.064428

Cited by 90 publications

(116 citation statements)

References 50 publications

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“…An alternative approach is the Schwinger boson formalism, however the scalar spin chirality does not appear explicitly in this formalism. Instead the DM interaction generates a magnetic flux leading to topological spin excitations even in the absence of an applied magnetic field [43,76]. This is reminiscent of collinear ferromagnets and thus sharply contrast with the present results.…”

Section: Discussioncontrasting

confidence: 99%

Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite

Owerre¹

2017

EPL

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In this Letter, we identify a noncoplanar chiral spin texture on the distorted kagomé-lattice antiferromagnets induced by the presence of a magnetic field applied perpendicular to the distorted kagomé plane. The noncoplanar chiral spin texture has a nonzero scalar spin chirality similar to a chiral quantum spin liquid with broken time-reversal symmetry. In the noncoplanar regime we observe nontrivial topological magnetic excitations and thermal Hall response through the emergent field-induced scalar spin chirality in contrast to collinear ferromagnets in which the DzyaloshinskiiMoriya (DM) spin-orbit interaction is the driving force. Our results shed light on recent observation of thermal Hall conductivity in distorted kagomé volborthite at nonzero magnetic field with no signal of DM spin-orbit interaction, and the results also apply to other distorted kagomé antiferromagnets such as vesignieite and edwardsite.

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Section: Discussioncontrasting

confidence: 99%

Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite

Owerre¹

2017

EPL

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“…In this effective Hamiltonian, the hopping amplitude is comparable to the repulsion energy as shown in Eq. (36). This fact makes it difficult to predict the ground state of the Hamiltonian.…”

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confidence: 99%

Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-12deformed kagome lattice antiferromagnet

Hwang¹,

Park²,

Kim³

2012

Phys. Rev. B

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Motivated by the recent neutron scattering experiment on Rb2Cu3SnF12 [Nat. Phys. 6, 865 (2010)], we investigate the effect of Dzyaloshinskii-Moriya interactions in a theoretical model for the magnetic structure of this material. Considering the valence bond solid ground state, which has a 12-site unit cell, we develop the bond operator mean-field theory. It is shown that the Dzyaloshinskii-Moriya interactions significantly modify the triplon dispersions around the Γ point and cause a shift of the spin gap (the minimum triplon gap) position from the K to Γ point in the first Brillouin zone. The spin gap is also evaluated in exact diagonalization studies on a 24-site cluster. We discuss a magnetic transition induced by the Dzyaloshinskii-Moriya interactions in the bond operator framework. Moreover, the magnetization process under external magnetic fields is studied within the exact diagonalization and strong coupling expansion approaches. We find that the results of all above approaches are consistent with the experimental findings.

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“…These terms, especially the DM interaction 39,40 in quantum frustrated magnets, have attracted a lot of attention, due to their potentially important role in determining the ground state 18,41,42 . By including SOC in the DFT(+U) Hamiltonian, we quantify its effects within the first-principles formalism.…”

Section: Effects Of Socmentioning

confidence: 99%

First-principles study of the organometallicS=12kagome compound Cu(1,3-bdc)

2015

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Cu (1,3-benzenedicarboxylate) [Cu(1,] contains structurally perfect kagomé planes formed by Cu 2+ ions without the presence of diamagnetic defects. This organometallic compound should have served as a precious platform to explore quantum frustrated magnetism, yet the experimental results so far are mysterious, leading to questions such as "Is Cu(1,3-bdc) just a trivial weak ferromagnet?". Using the the density functional theory (DFT), we have systematically studied the electronic and magnetic properties of Cu(1,3-bdc), putting forth a theoretical basis to clarify this novel material. We present numerical evidence of a dominating antiferromagnetic (AFM) exchange between nearest-neighbor (NN) Cu 2+ as experimentally extracted from the high-temperature susceptibility data. We further show that beyond the NN AFM exchange, the additional interactions in Cu(1,3-bdc) have similar strength as those in the well-studied kagomé antiferromagnet, Herbertsmithite, by designing a comparative study. In the end, we discuss our understanding on the phase transition and FM signals observed under low temperature.

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Schwinger-boson approach to the kagome antiferromagnet with Dzyaloshinskii-Moriya interactions: Phase diagram and dynamical structure factors

Cited by 90 publications

References 50 publications

Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite

Topological magnetic excitations on the distorted kagomé antiferromagnets: Applications to volborthite, vesignieite, and edwardsite

Influence of Dzyaloshinskii-Moriya interactions on magnetic structure of a spin-12deformed kagome lattice antiferromagnet

First-principles study of the organometallicS=12kagome compound Cu(1,3-bdc)

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