2005/08/31 by Viljo Petaja, Viljo Petäjä, Matti Sarjala +3 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #Characterization and Applications of Magnetic Nanoparticles #Condensed matter physics #Geometry #Materials science #Mathematics #Mechanics #Physics #Point (geometry) #Quantum #Quantum entanglement #Quantum mechanics #Statistical physics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #Transition point #cond-mat.supr-con
paper · pdf · open access · doi:10.1103/physrevb.73.094517
published in Physical Review B 73(9) (American Physical Society) · 9 pages, 11 figures. Accepted for publication in PRB
arxiv created 2006/03/08 · openalex publication_date 2006/03/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate by exact optimization method properties of two- and three-dimensional systems of elastic lines in presence of splayed columnar disorder. The ground state of many lines is separable both in two (2D) and three dimensions (3D), leading to a random walk-like roughening in 2D and ballistic behavior in 3D. Furthermore, we find that in the case of pure splayed columnar disorder, in contrast to point disorder, there is no entanglement transition in 3D. Entanglement can be triggered by perturbing the pure splay system with point defects.