@article{ ISI:000324920400016, Author = {Varney, Christopher N. and Sellin, Karl A. H. and Wang, Qing-Ze and Fangohr, Hans and Babaev, Egor}, Title = {{Hierarchical structure foramtion in layered superconducting systems with multi-scale inter-vortex interactions}}, Journal = {{JOURNAL OF PHYSICS-CONDENSED MATTER}}, Year = {{2013}}, Volume = {{25}}, Number = {{41}}, Month = {{OCT 16}}, Abstract = {{We demonstrate the formation of hierarchical structures in two-dimensional systems with multiple length scales in the inter-particle interaction. These include states such as clusters of clusters, concentric rings, clusters inside a ring, and stripes in a cluster. We propose to realize such systems in vortex matter (where a vortex is mapped onto a particle with multi-scale interactions) in layered superconducting systems with varying inter-layer thicknesses and different layer materials.}}, Publisher = {{IOP PUBLISHING LTD}}, Address = {{TEMPLE CIRCUS, TEMPLE WAY, BRISTOL BS1 6BE, ENGLAND}}, Type = {{Article}}, Language = {{English}}, Affiliation = {{Varney, CN (Reprint Author), Univ Massachusetts, Dept Phys, Amherst, MA 01003 USA. Varney, Christopher N.; Wang, Qing-Ze; Babaev, Egor, Univ Massachusetts, Dept Phys, Amherst, MA 01003 USA. Varney, Christopher N., Univ W Florida, Dept Phys, Pensacola, FL 32514 USA. Sellin, Karl A. H.; Babaev, Egor, Royal Inst Technol, Dept Theoret Phys, SE-10691 Stockholm, Sweden. Wang, Qing-Ze, Penn State Univ, Dept Phys, University Pk, PA 16802 USA. Fangohr, Hans, Univ Southampton, Southampton SO17 1BJ, Hants, England.}}, DOI = {{10.1088/0953-8984/25/41/415702}}, Article-Number = {{415702}}, ISSN = {{0953-8984}}, Keywords-Plus = {{VORTICES}}, Research-Areas = {{Physics}}, Web-of-Science-Categories = {{Physics, Condensed Matter}}, Author-Email = {{cvarney@uwf.edu}}, Funding-Acknowledgement = {{NSF {[}DMR-0955902]; Knut and Alice Wallenberg Foundation through the Royal Swedish Academy of Sciences; Swedish Research Council}}, Funding-Text = {{We thank M Touminen and C Santangelo for discussions. This work was supported by NSF Award No. DMR-0955902 (CNV, QW and EB) by Knut and Alice Wallenberg Foundation through the Royal Swedish Academy of Sciences (EB), Swedish Research Council (EB AND KS). The computations were partially performed on resources provided by the Swedish National Infrastructure for Computing (SNIC) at National Supercomputer Center at Linkoping, Sweden.}}, Number-of-Cited-References = {{39}}, Times-Cited = {{0}}, Journal-ISO = {{J. Phys.-Condes. Matter}}, Doc-Delivery-Number = {{224VW}}, Unique-ID = {{ISI:000324920400016}}, }