Dissipation effects in percolating quantum Ising magnets

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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2 pages, 1 eps figure, final version as published

Scientific paper

10.1016/j.physb.2007.10.260

We study the effects of dissipation on a randomly dilute transverse-field Ising magnet at and close to the percolation threshold. For weak transverse fields, a novel percolation quantum phase transition separates a super-paramagnetic cluster phase from an inhomogeneously ordered ferromagnetic phase. The properties of this transition are dominated by large frozen and slowly fluctuating percolation clusters. Implementing numerically a strong-disorder real space renormalization group technique, we compute the low-energy density of states which is found to be in good agreement with the analytical prediction.

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