Quantum Griffiths effects in itinerant Heisenberg magnets

Details Quantum Griffiths effects in itinerant Heisenberg magnets Quantum Griffiths effects in itinerant Heisenberg magnets

2004-05-26

arxiv.org/abs/cond-mat/0405609v3

Phys. Rev. B 72, 045438 (2005)

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages, 1 eps figure, final version as published

Scientific paper

10.1103/PhysRevB.72.045438

We study the influence of quenched disorder on quantum phase transitions in itinerant magnets with Heisenberg spin symmetry, paying particular attention to rare disorder fluctuations. In contrast to the Ising case where the overdamping suppresses the tunneling of the rare regions, the Heisenberg system displays strong power-law quantum Griffiths singularities in the vicinity of the quantum critical point. We discuss these phenomena based on general scaling arguments, and we illustrate them by an explicit calculation for O(N) spin symmetry in the large-N limit. We also discuss broad implications for the classification of quantum phase transitions in the presence of quenched disorder.

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