Gaididei, Yuri, Goussev, Arseni, Kravchuk, Volodymyr, Pylypovskyi, Oleksandr, Robbins, Jonathan, Sheka, Denis, Slastikov, Valeriy and Vasylkevych, Sergiy (2017) Magnetization in narrow ribbons: curvature effects. Journal of Physics A: Mathematical and Theoretical, 50. p. 385401. ISSN 17518113

Text (Full text)
Gaididei et al  Magnetization in narrow ribbons (AAM).pdf  Accepted Version Download (9MB)  Preview 
Abstract
A ribbon is a surface swept out by a line segment turning as it moves along a central curve. For narrow magnetic ribbons, for which the length of the line segment is much less than the length of the curve, the anisotropy induced by the magnetostatic interaction is biaxial, with hard axis normal to the ribbon and easy axis along the central curve. The micromagnetic energy of a narrow ribbon reduces to that of a onedimensional ferromagnetic wire, but with curvature, torsion and local anisotropy modified by the rate of turning. These general results are applied to two examples, namely a helicoid ribbon, for which the central curve is a straight line, and a Möbius ribbon, for which the central curve is a circle about which the line segment executes a 180° twist. In both examples, for large positive tangential anisotropy, the ground state magnetization lies tangent to the central curve. As the tangential anisotropy is decreased, the ground state magnetization undergoes a transition, acquiring an insurface component perpendicular to the central curve. For the helicoid ribbon, the transition occurs at vanishing anisotropy, below which the ground state is uniformly perpendicular to the central curve. The transition for the Möbius ribbon is more subtle; it occurs at a positive critical value of the anisotropy, below which the ground state is nonuniform. For the helicoid ribbon, the dispersion law for spin wave excitations about the tangential state is found to exhibit an asymmetry determined by the geometric and magnetic chiralities.
Item Type:  Article 

Uncontrolled Keywords:  Exchange energy, curved magnets, nanowire, nanoshell, magnetic ribbon 
Subjects:  F300 Physics G100 Mathematics 
Department:  Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering 
Depositing User:  Paul Burns 
Date Deposited:  26 Jul 2017 10:41 
Last Modified:  11 Oct 2019 17:07 
URI:  http://nrl.northumbria.ac.uk/id/eprint/31395 
Downloads
Downloads per month over past year