Title

Ordered Droplets in Quantum Magnets with Long-Range Interactions

Abstract

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+σ) 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 σ>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.

Department(s)

Physics

Sponsor(s)

National Science Foundation (U.S.)
Research Corporation

Keywords and Phrases

Defect Disorder; Griffiths Singularity; Quantum Phase Transition

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2008 Elsevier, All rights reserved.

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