2014
DOI: 10.1103/physrevlett.112.257203
|View full text |Cite
|
Sign up to set email alerts
|

Curvature Effects in Thin Magnetic Shells

Abstract: A magnetic energy functional is derived for an arbitrary curved thin shell on the assumption that the magnetostatic effects can be reduced to an effective easy-surface anisotropy; it can be used for solving both static and dynamic problems. General static solutions are obtained in the limit of a strong anisotropy of both signs (easy-surface and easy-normal cases). It is shown that the effect of the curvature can be treated as the appearance of an effective magnetic field, which is aligned along the surface nor… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1
1
1
1

Citation Types

3
208
0
1

Year Published

2016
2016
2022
2022

Publication Types

Select...
8
1

Relationship

1
8

Authors

Journals

citations
Cited by 189 publications
(212 citation statements)
references
References 39 publications
3
208
0
1
Order By: Relevance
“…Previous studies of magnetic nanostructures with largescale smoothly varying curvature have shown that the magnetization prefers to stay in a plane tangential to the surface [7,[16][17][18][19][20][21]. This general principle applies when the surface variations occur on a scale larger than the film thickness (inverse surface curvature is larger than thickness).…”
mentioning
confidence: 92%
“…Previous studies of magnetic nanostructures with largescale smoothly varying curvature have shown that the magnetization prefers to stay in a plane tangential to the surface [7,[16][17][18][19][20][21]. This general principle applies when the surface variations occur on a scale larger than the film thickness (inverse surface curvature is larger than thickness).…”
mentioning
confidence: 92%
“…With the above expressions we implemented a MAPLE code to find, for each injection energy, ϕ(0) and ϕ(L) and, consequently, the transmittance and the reflectance as specified by Eqs. (17) and (18), respectively. In order to input the energy in meV and distances in nm we use a mixed units system where the electron mass is m e = 5.68 × 10 −27 meV.s 2 /nm 2 and Planck's constant is = 6.58 × 10 −13 meV.s .…”
Section: Methodsmentioning
confidence: 99%
“…The da Costa approach has been applied to a wide range of two-dimensional systems, like rolledup nanotubes [16], thin magnetic shells [17] or spin transport on curved systems [18]. In particular, the approach has been much used to study carbon-based systems like nanotubes and other curved forms of graphene [19].…”
Section: Quantum Particle In a Curved Surface With Azimuthal Symmetrymentioning
confidence: 99%
“…As an example, the side surface of a truncated cone is considered [30][31][32]; the minimum radius is R and the length of the generatrix is l, shown in Fig. 1.…”
Section: A Truncated Conementioning
confidence: 99%