Quantum Magnetism

Parkinson, John; Farnell, Damian J. J.

doi:10.1007/978-3-642-13290-2_11

Cited by 3 publications

(1 citation statement)

References 90 publications

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“…The study of low-dimensional, particularly onedimensional spin-1/2 magnets, developed into a field of its own, because these materials provide a unique possibility to study ground and excited states of a large variety of quantum models with very high accuracy 1,2 . Despite their conceptual simplicity, these models provide rich magnetic phase diagrams 3,4 arising from a complex interplay of quantum fluctuations, exchange interactions and lattice topology, which often result in magnetic frustration.…”

Section: Introductionmentioning

confidence: 99%

Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsiteCu3(MoO4)(OH)4

et al. 2017

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In this joint experimental and theoretical work magnetic properties of the Cu 2+ mineral szenicsite Cu3(MoO4)(OH)4 are investigated. This compound features isolated triple chains in its crystal structure, where the central chain involves an edge-sharing geometry of the CuO4 plaquettes, while the two side chains feature a corner-sharing zig-zag geometry. The magnetism of the side chains can be described in terms of antiferromagnetic dimers with a coupling larger than 200 K. The central chain was found to be a realization of the frustrated antiferromagnetic J1-J2 chain model with J168 K and a sizable second-neighbor coupling J2. The central and side chains are nearly decoupled owing to interchain frustration. Therefore, the low-temperature behavior of szenicsite should be entirely determined by the physics of the central frustrated J1-J2 chain. Our heat-capacity measurements reveal an accumulation of entropy at low temperatures and suggest a proximity of the system to the Majumdar-Ghosh point of the antiferromagnetic J1-J2 spin chain, J2/J1 = 0.5.

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Section: Introductionmentioning

confidence: 99%

Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsiteCu3(MoO4)(OH)4

et al. 2017

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Longitudinal Excitations in Triangular Lattice Antiferromagnets

Merdan

Xian

2012

J Low Temp Phys

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We study the longitudinal excitations of quantum antiferromagnets on a triangular lattice by a recently proposed microscopic many-body approach based on magnon-density waves. We calculate the full longitudinal excitation spectra of the antiferromagnetic Heisenberg model for a general spin quantum number in the isotropic limit. Similar to the square lattice model, we find that, at the center of the first hexagonal Brillouin zone Γ(q = 0) and at the magnetic ordering wavevectors ±[Q = (4π/3, 0)], the excitation spectra become gapless in the thermodynamic limit, due to the slow, logarithmic divergence of the structure factor. However, these longitudinal modes on two-dimensional models may be considered as quasi-gapped, as any finite-size effect or small anisotropy will induce a large energy gap, when compared with the counterpart of the transverse spin-wave excitations. We also discuss a possible second longitudinal mode in the triangular lattice model due to the noncollinear nature of its magnetic order.PACS numbers: 75.10.Jm, 75.30.DS, 75.50.Ee 1 arXiv:1205.0977v2 [cond-mat.str-el]

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The Effects of Three Magnons Interactions in the Magnon-Density Waves of Triangular Spin Lattices

Merdan

Xian

2019

J Low Temp Phys

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We investigate the magnon-density waves proposed as the longitudinal excitations in triangular lattice antiferromagnets by including the cubic and quartic corrections in the large-s expansion. The longitudinal excitation spectra for the two-dimensional (2D) triangular antiferromagnetic model and quasi-one dimensional (quasi-1D) antiferromagnetic materials have been obtained for a general quantum spin number s. For the 2D triangular lattice model, we find a significant reduction (about 40 %) in the energy spectra at the zone boundaries due to both the cubic and quartic corrections. For the quasi-1D antiferromagnets, since the cubic term comes from the very weak couplings on the hexagonal planes, they make very little correction to the energy spectra, whereas the major correction contribution comes from the quartic terms in the couplings along the chains with the numerical values for the energy gaps in good agreement with the experimental results as reported earlier (Ref. 41). arXiv:1901.11007v2 [cond-mat.str-el]

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Quantum Magnetism

Cited by 3 publications

References 90 publications

Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsiteCu3(MoO4)(OH)4

Frustrated spin chain physics near the Majumdar-Ghosh point in szenicsiteCu3(MoO4)(OH)4

Longitudinal Excitations in Triangular Lattice Antiferromagnets

The Effects of Three Magnons Interactions in the Magnon-Density Waves of Triangular Spin Lattices

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