Spin dynamics of the antiferromagnetic Heisenberg model on a kagome bilayer

Abstract

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 SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$ (SCGO).

arXiv comment10 pages, 12 figures

References in corpus (33)

• Properties of a classical spin liquid: the Heisenberg pyrochlore antiferromagnet
• Low-temperature properties of classical, geometrically frustrated antiferromagnets
• Pyrochlore Antiferromagnet: A Three-Dimensional Quantum Spin Liquid
• Dipolar spin correlations in classical pyrochlore magnets
• Power-law spin correlations in pyrochlore antiferromagnets
• Classical Spin Liquid: Exact Solution for the Infinite-Component Antiferromagnetic Model on the Kagomé Lattice
• Stable and fast semi-implicit integration of the stochastic Landau-Lifshitz equation
• The Kagome Antiferromagnet with Defects: Satisfaction, Frustration, and Spin Folding in a Random Spin System
• Magnetic susceptibility of diluted pyrochlore and SCGO antiferromagnets
• Susceptibility and dilution effects of the kagome bi-layer geometrically frustrated network. A Ga-NMR study of SrCr_(9p)Ga_(12-9p)O_(19)
• Absent pinch points and emergent clusters: further neighbour interactions in the pyrochlore Heisenberg antiferromagnet
• Spin Dynamics in Pyrochlore Heisenberg Antiferromagnets
• Magnetic dilution in the geometrically frustrated SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$ and the role of local dynamics: a $\mu$SR study
• Dipolar order by disorder in the classical Heisenberg antiferromagnet on the kagome lattice
• Ga NMR study of the local susceptibility in SrCr8Ga4O19: pseudogap and paramagnetic defects
• Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice
• Aging, memory, and nonhierarchical energy landscape of spin jam
• Fractional spin textures in the frustrated magnet SrCr${}_{9p}$Ga${}_{12-9p}$O${}_{19}$
• Propagation and Ghosts in the Classical Kagome Antiferromagnet
• From frustration to glassiness via quantum fluctuations and random tiling with exotic entropy
• Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
• Long range order in the classical kagome antiferromagnet: effective Hamiltonian approach
• Vacancy-induced spin textures and their interactions in a classical spin liquid
• Half moons are pinch points with dispersion
• Spin Jam: a quantum-fluctuation-induced glassy state of a frustrated magnet
• Spin diffusion in one-dimensional classical Heisenberg mode
• Correlations, spin dynamics, defects: the highly-frustrated Kagomé bilayer
• Effective Hamiltonians and dilution effects in kagome and related antiferromagnets
• Ordering of the Antiferromagnetic Heisenberg Model on a Pyrochlore Slab
• Multiple time scales from hard local constraints: glassiness without disorder
• Chiral Kosterlitz-Thouless transition in the frustrated Heisenberg antiferromagnet on a pyrochlore slab
• Dynamics and energy landscape of the jammed spin-liquid
• Coexisting order and disorder hidden in a quasi-two-dimensional frustrated magnet

Cited by in corpus (4)

• Dimer Crystallization Induced by Elemental Substitution in the Honeycomb Lattice of Ru1-xOsxCl3
• A High-Performance Implementation of Atomistic Spin Dynamics Simulations on x86 CPUs
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Frustrated magnets in the limit of infinite dimensions: dynamics and disorder-free glass transition