2017/01/21 by Li Chen, Chen, Li, Panayotis Smyrnelis +3
Mathematics · Physics and Astronomy · #35Q56 #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Physics of Superconductivity and Magnetism #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.1701.06076
openalex publication_date 2017/01/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We prove existence of Abrikosov vortex lattice solutions of the Ginzburg-Landau equations of superconductivity, with multiple magnetic flux quanta per a fundamental cell. We also revisit the existence proof for the Abrikosov vortex lattices, streamlining some arguments and providing some essential details missing in earlier proofs for a single magnetic flux quantum per a fundamental cell.