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.
Recommended Citation
T. Vojta and J. A. Hoyos, "Ordered Droplets in Quantum Magnets with Long-Range Interactions," Physica B: Condensed Matter, Elsevier, Apr 2008.
The definitive version is available at https://doi.org/10.1016/j.physb.2007.10.252
Department(s)
Physics
Sponsor(s)
National Science Foundation (U.S.)
Research Corporation
Keywords and Phrases
Defect Disorder; Griffiths Singularity; Quantum Phase Transition
International Standard Serial Number (ISSN)
0921-4526
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2008 Elsevier, All rights reserved.
Publication Date
01 Apr 2008
