ORCID ID
Ryan, Shawn/0000-0003-2468-1827
Document Type
Article
Publication Date
2015
Publication Title
Scientific Reports
Abstract
Glasses are rigid systems in which competing interactions prevent simultaneous minimization of local energies. This leads to frustration and highly degenerate ground states the nature and properties of which are still far from being thoroughly understood. We report an analytical approach based on the method of functional equations that allows us to construct the Rayleigh approximation to the ground state of a two-dimensional (2D) random Coulomb system with logarithmic interactions. We realize a model for 2D Coulomb glass as a cylindrical type II superconductor containing randomly located columnar defects (CD) which trap superconducting vortices induced by applied magnetic field. Our findings break ground for analytical studies of glassy systems, marking an important step towards understanding their properties.
Repository Citation
Ryan, Shawn D.; Mityushev, V.; Vinokur, V. M.; and Berlyand, L., "Rayleigh Approximation to Ground State of the Bose and Coulomb Glasses" (2015). Mathematics and Statistics Faculty Publications. 303.
https://engagedscholarship.csuohio.edu/scimath_facpub/303
DOI
10.1038/srep07821
Version
Publisher's PDF
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Volume
5
