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

Abstract

Understanding the properties of Coulomb glasses, materials in which most electronic states are localized so that Coulomb interactions are unscreened, remains one of the major challenges(4) in condensed matter physics. Because of a high degree of degeneracy, their ground state is accessible only to numerical treatments. Here we report an analytical approach based on the method of functional equations that allows us to find a ground state in two-dimensional random systems with logarithmic Coulomb interactions. The latter is realized as a cylindrical type II superconductor containing randomly located columnar defects (CD). The configuration of logarithmically interacting vortices induced by applied magnetic field trapped by CDs and corresponding to the global energy minimum realizes the ground state of the 2D Coulomb glass. Our findings break ground for analytical studies of glassy systems, marking a major step forward toward complete understanding of their properties.

Authors:
 [1];  [2];  [3];  [1]
+ Show Author Affiliations
  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 Laboratory (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)
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.
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Ryan, S. D., Mityushev, V., Vinokur, V. M., & Berlyand, L. Rayleigh approximation to ground state of the Bose and Coulomb glasses. United States. https://doi.org/10.1038/srep07821
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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. https://doi.org/10.1038/srep07821. https://www.osti.gov/servlets/purl/1194163.
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@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 = {Understanding the properties of Coulomb glasses, materials in which most electronic states are localized so that Coulomb interactions are unscreened, remains one of the major challenges(4) in condensed matter physics. Because of a high degree of degeneracy, their ground state is accessible only to numerical treatments. Here we report an analytical approach based on the method of functional equations that allows us to find a ground state in two-dimensional random systems with logarithmic Coulomb interactions. The latter is realized as a cylindrical type II superconductor containing randomly located columnar defects (CD). The configuration of logarithmically interacting vortices induced by applied magnetic field trapped by CDs and corresponding to the global energy minimum realizes the ground state of the 2D Coulomb glass. Our findings break ground for analytical studies of glassy systems, marking a major step forward toward complete understanding of their properties.},
doi = {10.1038/srep07821},
journal = {Scientific Reports},
number = ,
volume = 5,
place = {United States},
year = {Fri Jan 16 00:00:00 EST 2015},
month = {Fri Jan 16 00:00:00 EST 2015}
}
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Journal Article:
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https://doi.org/10.1038/srep07821
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