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 · Fri Jan 16 00:00:00 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

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.

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

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-06CH11357; DMS-1106666; DMS-1405769

OSTI ID:: 1194163

Alternate ID(s):: OSTI ID: 1396016

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

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 10 works

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