1997/11/12 by Nadav M. Shnerb · 4 citations
Engineering · Mathematics · Physics and Astronomy · #Condensed matter physics #Divergence (linguistics) #Fluid Dynamics and Turbulent Flows #Geometry #Magnetic field #Magnetic flux #Mathematics #Mechanics #Metastability #Perpendicular #Physics #Physics of Superconductivity and Magnetism #Plane (geometry) #Quantum mechanics #Theoretical and Computational Physics #Vortex #cond-mat.dis-nn #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.57.8571
published in Physical review. B, Condensed matter 57(14), 8571-8579 (American Physical Society) · 10 pages, 2 figures
arxiv created 1997/11/12 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The equilibrium properties of flux lines pinned by columnar disorder are studied, using the analogy with the time evolution of a diffusing scalar density in a randomly amplifying medium. Near Hc1, the physical features of the vortices in the localized phase are shown to be determined by the density of states near the band edge. As a result, Hc1 is inversely proportional to the logarithm of the sample size, and the screening length of the perpendicular magnetic field decreases with temperature. For large tilt the extended ground state turns out to wander in the plane perpendicular to the defects with exponents corresponding to a directed polymer in a random medium, and the energy difference between two competing metastable states in this case is extensive. The divergence of the effective potential associated with strong pinning centers as the tilt approaches its critical value is discussed as well.