Freezing and large time scales induced by geometrical frustration

Abstract

We investigate the properties of an effective Hamiltonian with competing interactions involving spin and chirality variables, relevant for the description of the {\it trimerized} version of the spin-1/2 {\it kagome} antiferromagnet. Using classical Monte Carlo simulations, we show that remarkable behaviors develop at very low temperatures. Through an {\it order by disorder} mechanism, the low-energy states are characterized by a dynamical freezing of the chiralities, which decouples the lattice into ``dimers'' and ``triangles'' of antiferromagnetically coupled spins. Under the presence of an external magnetic field, the particular topology of the chiralities induces a very slow spin dynamics, reminiscent of what happens in ordinary spin glasses.

arXiv comment12 pages, 13 figures

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Cited by in corpus (13)

• Ground state of the Kagome-like S=1/2 antiferromagnet, Volborthite Cu3V2O7(OH)2.2H2O
• $\mu$SR study of the quantum dynamics in the frustrated $S=3/2$ kagome bilayers
• Heterogeneous freezing in a geometrically frustrated spin model without disorder: spontaneous generation of two time-scales
• Exact solution for a quantum compass ladder
• Correlations, spin dynamics, defects: the highly-frustrated Kagomé bilayer
• Exact spin-orbital separation in a solvable model in one dimension
• The emergence of Resonating Valence Bond physics in spin-orbital models
• Compass and Kitaev models -- Theory and Physical Motivations
• Fracton excitations in classical frustrated kagome spin models
• A continuum of compass spin models on the honeycomb lattice
• Strong-coupling expansion and effective hamiltonians
• Exact Ground States and Phase Diagram of the Quantum Compass Model under an in-plane Field
• Nematicity Liquid in a Trimerized-Kagome Antiferromagnet