Rayleigh approximation to ground state of the Bose and Coulomb glasses

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

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.

Original languageEnglish (US)
Article number7821
JournalScientific reports
Volume5
DOIs
StatePublished - Jan 16 2015

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ground state
glass
frustration
approximation
marking
traps
interactions
vortices
optimization
defects
magnetic fields
energy

All Science Journal Classification (ASJC) codes

  • General

Cite this

Ryan, S. D. ; Mityushev, V. ; Vinokur, V. M. ; Berlyand, L. / Rayleigh approximation to ground state of the Bose and Coulomb glasses. In: Scientific reports. 2015 ; Vol. 5.
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Rayleigh approximation to ground state of the Bose and Coulomb glasses. / Ryan, S. D.; Mityushev, V.; Vinokur, V. M.; Berlyand, L.

In: Scientific reports, Vol. 5, 7821, 16.01.2015.

Research output: Contribution to journalArticle

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