Chiral Kosterlitz-Thouless Transition in the Frustrated Heisenberg Antiferromagnet on a Pyrochlore Slab

Kawamura, Hikaru; Arimori, Takuya

doi:10.1103/physrevlett.88.077202

Cited by 9 publications

(7 citation statements)

References 18 publications

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“…The fact that a macroscopic number of spin configurations satisfy the minimum energy condition leads to a classical spin liquid regime at temperatures T J. Indeed, our Monte Carlo simulations show no signs of phase transition down to temperatures T ≈ 0.001J, consistent with previous studies [32][33][34][35]. Instead, a spin-disordered phase with strong short-range correlation is obtained at low temperatures.…”

Section: Model and Methodssupporting

confidence: 90%

Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

et al. 2021

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We study the spin dynamics of classical Heisenberg antiferromagnet with nearest neighbor interactions on a quasi-two-dimensional kagome bilayer. This geometrically frustrated lattice consists of two kagome layers connected by a triangular-lattice linking layer. By combining Monte Carlo with precessional spin dynamics simulations, we compute the dynamical structure factor of the classical spin liquid in kagome bilayer and investigate the thermal and dilution effects. While the low frequency and long wavelength dynamics of the cooperative paramagnetic phase is dominated by spin diffusion, weak magnon excitations persist at higher energies, giving rise the half moon pattern in the dynamical structure factor. In the presence of spin vacancies, the dynamical properties of the diluted system can be understood within the two population picture. The spin diffusion of the "correlated" spin clusters is mainly driven by the zero-energy weather-van modes, giving rise to an autocorrelation function that decays exponentially with time. On the other hand, the diffusive dynamics of the quasi-free "orphan" spins leads to a distinctive longer time power-law tail in the autocorrelation function. We discuss the implications of our work for the glassy behaviors observed in the archetypal frustrated magnet SrCr9pGa12−9pO19 (SCGO).

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Section: Model and Methodssupporting

confidence: 90%

Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

et al. 2021

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“…(e) SrCr 8−x Ga 4+x O 19 SrCr 8−x Ga 4+x O 19 (SCGO) is a S=3/2 kagome-bilayer (or pyrochlore slab) system, extensively studied in 1990's as a typical model system of kagome-lattice Heisenberg AF [73,74,75,76,77,78,79,80,81,82,83]. Crystal structure of magnetic ions (Cr 3+ ) in this material, however, is not really a planar kagome, but rather a kagome-bilayer where two kagome layers are connected via a sparse triangular layer in between, i.e., a pyrochlore slab along (111) [84,85]. Thus, a constituent unit of the lattice is a tetrahedron rather than a triangle.…”

Section: Experiments On Frustrated Heisenberg Antiferromagnets In Two...mentioning

confidence: 99%

Z₂-vortex order of frustrated Heisenberg antiferromagnets in two dimensions

Kawamura

2011

J. Phys.: Conf. Ser.

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We discuss the recent experimental data on various frustrated quasi-twodimensional Heisenberg antiferromagnets from the viewpoint of the Z2-vortex order, which include S=3/2 triangular-lattice antiferromagnet NaCrO2, S=1 triangular-lattice antiferromagnet NiGa2S4, S=1/2 organic triangular-lattice antiferromagnets κ-(BEDT-TTF)2Cu2(CN)3 and EtMe3Sb[Pd(dmit)2]2, and S=1/2 kagome-lattice antiferromagnet volborthite Cu3V2O7(OH)2·2H2O, etc.

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“…Theoretical studies on the magnet with pyrochlore slab have been reported. 14,15) Another well studied frustrating system is an insulating spinel ZnCr 2 O 4 . [8][9][10] The magnetic ions on the octahedral B sites of the cubic spinel structure form the pyrochlore lattice so that the spin frustration is expected if the dominant nearest-neighbor interactions are antiferromagnetic.…”

Section: -7)mentioning

confidence: 99%

High Field ESR of the Frustrated Antiferromagnet Ba₂Sn₂Ga₃ZnCr₇O₂₂on a Pyrochlore Slab

et al. 2003

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High field ESR measurements of pyrochlore slab antiferromagnets Ba 2 Sn 2 Ga 3+x ZnCr 7−x O 22 (x=0,1, 3, 5, 6.9) have been performed in the millimeter wave region at temperatures from 4.2 K to 200 K. For Ba 2 Sn 2 Ga 3 ZnCr 7 O 22 (x = 0), the pyrochlore slab is fully filled with Cr 3+ ions, the line width of the ESR absorption line increased and the resonance fields shifted as the temperature was decreased. These tendencies were suppressed as the Cr 3+ concentration was decreased. The ESR results were compared with those of another frustrated magnet and mechanism of the resonance field shift was discussed.

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Chiral Kosterlitz-Thouless Transition in the Frustrated Heisenberg Antiferromagnet on a Pyrochlore Slab

Cited by 9 publications

References 18 publications

Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

Z₂-vortex order of frustrated Heisenberg antiferromagnets in two dimensions

High Field ESR of the Frustrated Antiferromagnet Ba₂Sn₂Ga₃ZnCr₇O₂₂on a Pyrochlore Slab

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Chiral Kosterlitz-Thouless Transition in the Frustrated Heisenberg Antiferromagnet on a Pyrochlore Slab

Cited by 9 publications

References 18 publications

Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

Z2-vortex order of frustrated Heisenberg antiferromagnets in two dimensions

High Field ESR of the Frustrated Antiferromagnet Ba2Sn2Ga3ZnCr7O22on a Pyrochlore Slab

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Product

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Z₂-vortex order of frustrated Heisenberg antiferromagnets in two dimensions

High Field ESR of the Frustrated Antiferromagnet Ba₂Sn₂Ga₃ZnCr₇O₂₂on a Pyrochlore Slab