Local defect in a magnet with long-range interactions

Details Local defect in a magnet with long-range interactions Local defect in a magnet with long-range interactions

2006-10-31

arxiv.org/abs/cond-mat/0611001v2

Phys. Rev. B 75, 104418 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 5 eps figures, final version, as published

Scientific paper

10.1103/PhysRevB.75.104418

We investigate a single defect coupling to the square of the order parameter in a nearly critical magnet with long-range spatial interactions of the form $r^{-(d+\sigma)}$, focusing on magnetic droplets nucleated at the defect while the bulk system is in the paramagnetic phase. Because of the long-range interaction, the droplet develops a power-law tail which is energetically unfavorable. However, as long as $\sigma>0$, the tail contribution to the droplet free energy is subleading in the limit of large droplets; and the free energy becomes identical to the case of short-range interactions. We also study the droplet quantum dynamics with and without dissipation; and we discuss the consequences of our results for defects in itinerant quantum ferromagnets.

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