Rayleigh approximation to ground state of the Bose and Coulomb glasses

Ryan, S. D.; Mityushev, V.; Vinokur, V. M.; Berlyand, L.

doi:10.1038/srep07821

Title: Rayleigh approximation to ground state of the Bose and Coulomb glasses

Journal Article · Thu Jan 15 23:00:00 EST 2015 · Scientific Reports

DOI: https://doi.org/10.1038/srep07821 · OSTI ID:1194163

Ryan, S. D. ^[1]; Mityushev, V. ^[2]; Vinokur, V. M. ^[3]; Berlyand, L. ^[1]

Pennsylvania State Univ., University Park, PA (United States). Dept. of Mathematics
Pedagogical Univ., Krakow (Poland). Dept. of Computer Sciences and Computer Methods
Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division

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.

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Research Organization:: Argonne National Lab. (ANL), Argonne, IL (United States); Pennsylvania State Univ., University Park, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC); National Science Foundation (NSF) (United States)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1194163

Journal Information:: Scientific Reports, Journal Name: Scientific Reports Vol. 5; ISSN 2045-2322

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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