Freezing and large time scales induced by geometrical frustration

Details Freezing and large time scales induced by geometrical frustration Freezing and large time scales induced by geometrical frustration

2003-06-30

arxiv.org/abs/cond-mat/0306744v1

Phys. Rev. B 68, 214431 (2003)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages, 13 figures

Scientific paper

10.1103/PhysRevB.68.214431

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.

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