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

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.

Authors:
 [1];  [2];  [3];  [1]
  1. Pennsylvania State Univ., University Park, PA (United States). Dept. of Mathematics
  2. Pedagogical Univ., Krakow (Poland). Dept. of Computer Sciences and Computer Methods
  3. Argonne National Lab. (ANL), Argonne, IL (United States). Materials Science Division
Publication Date:
Research Org.:
Argonne National Lab. (ANL), Argonne, IL (United States); Pennsylvania State Univ., University Park, PA (United States)
Sponsoring Org.:
National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1194163
Alternate Identifier(s):
OSTI ID: 1396016
Grant/Contract Number:  
AC02-06CH11357; DMS-1106666; DMS-1405769
Resource Type:
Accepted Manuscript
Journal Name:
Scientific Reports
Additional Journal Information:
Journal Volume: 5; Journal ID: ISSN 2045-2322
Publisher:
Nature Publishing Group
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 36 MATERIALS SCIENCE; Phase transitions and critical phenomena; Structural properties; Superconducting properties and materials

Citation Formats

Ryan, S. D., Mityushev, V., Vinokur, V. M., and Berlyand, L. Rayleigh approximation to ground state of the Bose and Coulomb glasses. United States: N. p., 2015. Web. doi:10.1038/srep07821.
Ryan, S. D., Mityushev, V., Vinokur, V. M., & Berlyand, L. Rayleigh approximation to ground state of the Bose and Coulomb glasses. United States. doi:10.1038/srep07821.
Ryan, S. D., Mityushev, V., Vinokur, V. M., and Berlyand, L. Fri . "Rayleigh approximation to ground state of the Bose and Coulomb glasses". United States. doi:10.1038/srep07821. https://www.osti.gov/servlets/purl/1194163.
@article{osti_1194163,
title = {Rayleigh approximation to ground state of the Bose and Coulomb glasses},
author = {Ryan, S. D. and Mityushev, V. and Vinokur, V. M. and Berlyand, L.},
abstractNote = {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.},
doi = {10.1038/srep07821},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {2015},
month = {1}
}

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Cited by: 2 works
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