Skyrmions have become one of the most visited topics during the last decade in condensed matter physics. In this work, and by means of analytical calculations and micromagnetic simulations, we explore the effect of the magnetostatic field generated by a magnetic tip on the stability of skyrmions. Our results show that the interaction energy between the tip and the skyrmion plays a fundamental role in the stabilization of Néel skyrmions confined in nanodisks, allowing its nucleation and annihilation and also providing precise control of its size and polarity. Based on our results, we propose a very simple and cyclic method to nucleate and annihilate skyrmions, as well as to control their polarity and chirality. This proposal could open possibilities for logic devices taking advantage of all the degrees of freedom that skyrmionic textures have.

1.
A.
Fert
,
V.
Cros
, and
J.
Sampaio
,
Nat. Nanotechnol.
8
,
152
(
2013
).
2.
X.
Zhang
,
G.
Zhao
,
H.
Fangohr
,
J.
Liu
,
W.
Xia
, and
F.
Morvan
,
Sci. Rep.
5
,
7643
(
2015
).
3.
R.
Tomasello
,
E.
Martinez
,
R.
Zivieri
,
L.
Torres
,
M.
Carpentieri
, and
G.
Finocchio
,
Sci. Rep.
4
,
6784
(
2014
).
4.
J.
Sampaio
,
V.
Cros
,
A.
Fert
,
S.
Rohart
, and
A.
Thiaville
,
Nat. Nanotechnol.
8
,
839
(
2013
).
5.
X.
Zhang
,
M.
Ezawa
, and
Y.
Zhou
,
Sci. Rep.
5
,
9400
(
2015
).
6.
J.
Iwasaki
,
M.
Mochizuki
, and
N.
Nagaosa
,
Nat. Nanotechnol.
8
,
742
(
2013
).
7.
X.
Yu
,
N.
Kanazawa
,
W.
Zhang
,
T.
Nagai
,
T.
Hara
,
K.
Kimoto
,
Y.
Matsui
,
Y.
Onose
, and
Y.
Tokura
,
Nat. Commun.
3
,
988
(
2012
).
8.
W.
Kang
,
Y.
Huang
,
C.
Zheng
,
W.
Lv
,
N.
Lei
,
Y.
Zhang
,
X.
Zhang
,
Y.
Zhou
, and
W.
Zhao
,
Sci. Rep.
6
,
23164
(
2016
).
9.
J.
Müller
,
New J. Phys.
19
,
025002
(
2017
).
10.
A.
Bogdanov
and
A.
Hubert
,
J. Magn. Magn. Mater.
138
,
255
(
1994
).
11.
I.
Kézsmárki
,
S.
Bordács
,
P.
Milde
,
E.
Neuber
,
L. M.
Eng
,
J. S.
White
,
H. M.
Ronnow
,
C. D.
Dewhurst
,
M.
Mochizuki
,
K.
Yanai
,
H.
Nakamura
,
D.
Ehlers
,
V.
Tsurkan
, and
A.
Loidl
,
Nat. Mater.
14
,
1116
(
2015
).
12.
G.
Yin
,
Y.
Li
,
L.
Kong
,
R. K.
Lake
,
C. L.
Chien
, and
J.
Zang
,
Phys. Rev. B
93
,
174403
(
2016
).
13.
J.
Wild
,
T. N. G.
Meier
,
S.
Pöllath
,
M.
Kronseder
,
A.
Bauer
,
A.
Chacon
, and others,
Sci. Adv.
3
,
e1701704
(
2017
).
14.
R.
Juge
,
S.
Je
,
D.
de Souza
,
S.
Pizzini
,
L.
Buda-Prejbeanu
,
L.
Aballe
,
M.
Foerster
,
A.
Locatelli
 et al,
J. Magn. Magn. Mater.
455
,
3
(
2018
).
15.
M.
Castro
and
S.
Allende
,
J. Magn. Magn. Mater.
417
,
344
(
2016
).
16.
O.
Boulle
,
J.
Vogel
,
H.
Yang
,
S.
Pizzini
,
D.
de Souza
,
A.
Locatelli
,
T.
Mentes
,
A.
Sala
,
L.
Buda-Prejbeanu
 et al,
Nat. Nanotechnol.
11
,
449
(
2016
).
17.
K.
Guslienko
,
Appl. Phys. Express.
11
,
063007
(
2018
).
18.
S.
Rohart
and
A.
Thiaville
,
Phys. Rev. B
88
,
184422
(
2013
).
19.
S.
Castillo-Sepúlveda
,
R. M.
Corona
,
A. S.
Nuñez
, and
D.
Altbir
,
J. Magn. Magn. Mater.
484
,
451
(
2019
).
20.
N.
Vidal-Silva
,
A.
Riveros
, and
J.
Escrig
,
J. Magn. Magn. Mater.
443
,
116
(
2017
).
21.
A.
Aharoni
,
Introduction to the Theory of Ferromagnetism
(
Clarendon Press
,
2000
), vol.
109
.
22.
A.
Riveros
,
N.
Vidal-Silva
,
F.
Tejo
, and
J.
Escrig
,
J. Magn. Magn. Mater.
460
,
292
(
2018
).
23.
F.
Tejo
,
A.
Riveros
,
J.
Escrig
,
K. Y.
Guslienko
, and
O.
Chubykalo-Fesenko
,
Sci. Rep.
8
,
6280
(
2018
).
24.
C.
Moreau-Luchaire
,
C.
Moutafis
,
N.
Reyren
,
J.
Sampaio
,
C.
Vaz
,
N.
Van Horne
,
K.
Bouzehouane
, and others,
Nat. Nanotechnol.
11
,
444
(
2016
).
25.
N.
Romming
,
C.
Hanneken
,
M.
Menzel
,
J.
Bickel
,
B.
Wolter
,
K.
von Bergmann
,
A.
Kubetzka
, and others,
Science
341
,
636
(
2013
).
26.
W.
Legrand
,
D.
Maccariello
,
N.
Reyren
,
K.
Garcia
,
C.
Moutafis
,
C.
Moreau-Luchaire
,
S.
Collinn
,
K.
Bouzehouane
, et al,
Nano Lett.
17
,
2703
(
2017
).
27.
W.
Jiang
,
P.
Upadhyaya
,
W.
Zhang
,
G.
Yu
,
M.
Jungfleisch
,
F.
Fradin
,
J.
Pearson
, and others,
Science
349
,
283
(
2015
).
28.
Y.
Zhou
and
M.
Ezawa
,
Nat. Commun.
5
,
4652
(
2014
).
29.
P.
Hsu
,
A.
Kubetzka
,
A.
Finco
,
N.
Romming
,
K.
von Bergmann
, and
R.
Wiesendanger
,
Nat. Nanotechnol.
12
,
123
(
2017
).
30.
W.
DeBonte
,
J. Appl. Phys.
44
,
1793
(
1973
).
31.
D.
Sheka
,
B.
Ivanov
, and
F.
Mertens
,
Phys. Rev. B
64
,
024432
(
2001
).
32.
S.
Zhang
,
J.
Zhang
,
Q.
Zhang
,
C.
Barton
,
V.
Neu
, and others,
Appl. Phys. Lett.
112
,
132405
(
2018
).
33.
D.
Garanin
,
D.
Capic
,
S.
Zhang
,
X.
Zhang
, and
E.
Chudnovsky
,
J. Appl. Phys.
124
,
113901
(
2018
).
34.
M.
Donahue
, OOMMF user's guide version 1.0,
1999
.
35.
I.
Lobanov
,
H.
Jónsson
, and
V.
Uzdin
,
Phys. Rev. B
94
,
174418
(
2016
).
36.
P.
Bessarab
,
G.
Müiller
,
I.
Lobanov
,
F.
Rybakov
,
N.
Kiselev
, and others,
Sci. Rep.
8
,
3433
(
2018
).
37.
A.
Siemenes
,
Y.
Zhang
,
J.
Hagmeister
,
E.
Vedmedenko
, and
R.
Wiesendanger
,
New J. Phys.
18
,
045021
(
2016
).
38.
39.
S.
Rohart
,
J.
Miltat
, and
A.
Thiaville
,
Phys. Rev. B
93
,
214412
(
2016
).
40.
Q.
Liu
,
Z.
Qu
,
X.
Zhou
,
Z.
Liu
, and
K.
Lv
,
Proc. Inst. Mech. Eng., Part B
230
,
1765
1770
(
2016
).
41.
S.
Watanabe
and
T.
Ando
,
Appl. Phys. Lett
111
,
113106
(
2017
).
42.
Q.
Su
,
Y.
Liu
,
L.
Wang
,
J.
Deng
, and
H.
Li
,
Ceram. Int.
44
,
S108
S111
(
2018
).
43.
D. M.
Crum
,
M.
Bouhassounem
,
J.
Bouaziz
,
B.
Schweflinghaus
,
S.
Blugel
, and
S.
Lounis
,
Nat. Commun.
6
,
8541
(
2015
).

Supplementary Material

You do not currently have access to this content.