Ordered droplets in quantum magnets with long-range interactions

Details Ordered droplets in quantum magnets with long-range interactions Ordered droplets in quantum magnets with long-range interactions

2007-03-21

arxiv.org/abs/cond-mat/0703555v2

Physica B 403, 1239 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

2 pages, 3 eps figures, final version as published

Scientific paper

10.1016/j.physb.2007.10.252

A defect coupling to the square of the order parameter in a nearly quantum-critical magnet can nucleate an ordered droplet while the bulk system is in the paramagnetic phase. We study the influence of long-range spatial interactions of the form $r^{-(d+\sigma)}$ on the droplet formation. To this end, we solve a Landau-Ginzburg-Wilson free energy in saddle point approximation. The long-range interaction causes the droplet to develop an energetically unfavorable power-law tail. However, for $\sigma>0$, the free energy contribution of this tail is subleading in the limit of large droplets; and the droplet formation is controlled by the defect bulk. Thus, for large defects, long-range interactions do not hinder the formation of droplets.

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