2011/12/08 by T. Tzaneteas, I. M. Sigal, Tzaneteas, T. +1
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1112.1897
openalex publication_date 2011/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Building on earlier work, we have given in our paper in Contemporary Mathematics 535, 195-213, 2011 (referred here as [TS]) a proof of existence of Abrikosov vortex lattices in the Ginzburg-Landau model of superconductivity and have shown that the triangular lattice gives the lowest energy per lattice cell. After [TS] was published, we realized that it proves a stronger result than was stated there. This result is recorded in the present paper. The proofs remain the same as in [TS], apart from some streamlining.