Ginzburg-Landau vortices, Coulomb Gases, and Renormalized Energies

Abstract

This is a review about a series of results on vortices in the Ginzburg-Landau model of superconductivity on the one hand, and point patterns in Coulomb gases on the other hand, as well as the connections between the two topics.

review paper, submitted to J. Stat. Phys

References in corpus (1)

• Critical Rotational Speeds in the Gross-Pitaevskii Theory on a Disc with Dirichlet Boundary Conditions

Cited by in corpus (7)

• Hyperuniform States of Matter
• Distributing many points on spheres: minimal energy and designs
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• Number rigidity in superhomogeneous random point fields
• From Boltzmann to random matrices and beyond
• Microscopic Derivation of Ginzburg-Landau Theory and the BCS Critical Temperature Shift in a Weak Homogeneous Magnetic Field
• Large deviations of spread measures for Gaussian matrices