Elastic lines on splayed columnar defects studied numerically

V. Petaja; M. Sarjala; M. Alava; H. Rieger

doi:10.1103/PhysRevB.73.094517

Elastic lines on splayed columnar defects studied numerically

V. Petaja, M. Sarjala, M. Alava, H. Rieger

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Abstract

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.

Original language	English
Article number	094517
Pages (from-to)	1-9
Journal	Physical Review B
Volume	73
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevB.73.094517
Publication status	Published - 2006
MoE publication type	A1 Journal article-refereed

Keywords

combinatorial optimization
disordered systems

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10.1103/PhysRevB.73.094517

PhysRevB.73.094517-1Final published version, 463 KB

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abstract = "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.",

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AB - 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.

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Elastic lines on splayed columnar defects studied numerically

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