Semi-classical spin dynamics of the antiferromagnetic Heisenberg model on the kagome lattice

Abstract

We investigate the dynamical properties of the classical antiferromagnetic Heisenberg model on the kagome lattice using a combination of Monte Carlo and molecular dynamics simulations. We find that frustration induces a distribution of timescales in the cooperative paramagnetic regime (i.e. far above the onset of coplanarity), as recently reported experimentally in deuterium jarosite. At lower temperature, when the coplanar correlations are well established, we show that the weath- ervane loop fluctuations control the system relaxation : the time distribution observed at higher temperatures splits into two distinct timescales associated with fluctuations in the plane and out of the plane of coplanarity. The temperature and wave vector dependences of these two components are qualitatively consistent with loops diffusing in the entropically dominated free energy landscape. Numerical results are discussed and compared with the $O(N)$ model and recent experiments for both classical and quantum realizations of the kagome magnets.

18 pages, 14 figures

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Cited by in corpus (17)

• Theoretical prediction of a strongly correlated Dirac metal
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• Quantum Selection of Order in an $XXZ$ Antiferromagnet on a Kagomé Lattice
• Microscopic nature of the charge-density wave in kagome superconductor RbV${}_3$Sb${}_5$
• Semi-classical simulation of spin-1 magnets
• Jammed spin liquid in the bond-disordered kagome Heisenberg antiferromagnet
• Infrared phonons as a probe of a spin-liquid states in herbertsmithite ZnCu3(OH)6Cl2
• Dynamical scaling as a signature of multiple phase competition in Yb${}_2$Ti${}_2$O${}_7$
• Magnetism and field-induced effects in the S = 5/2 honeycomb lattice antiferromagnet FeP3SiO11
• Magnetism in AV3Sb5 (A = Cs, Rb, K): Complex Landscape of the Dynamical Magnetic Textures
• Inelastic Neutron Scattering Study of the Spin Dynamics in the Breathing Pyrochlore System LiGa0.95In0.05Cr4O8
• Spin dynamics of the director state in frustrated hyperkagome systems
• Pinch points and half-moons in dipolar-octupolar Nd${}_2$Hf${}_2$O${}_7$
• Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain
• Is Herbertsmithite far from an ideal antiferromagnet? Ab-initio answer including in-plane Dzyaloshinskii-Moriya interactions and coupling with extra-plane impurities
• Incoherent transport in a classical spin liquid
• Phase-space networks and connectivity of the kagome antiferromagnet