Chapter 6
Magnetoelectricity of Chiral
Micromagnetic Structures
A. P. Pyatakov, T. T. Gareev, A. S. Kaminskiy, K. S. Antipin, E. P. Nikolaeva,
D. P. Kulikova, A. S. Sergeev, and A. V. Nikolaev
Abstract The concept of chirality has profound implications throughout science,
from elementary particle physics to biology. In this review, we will refer to chirality
as a rotational sense of spin structures such as spin cycloid in spiral magnets, micromagnetic structure in curved magnetic film, twisted spin space of 2D electron gas
in an ultrathin magnetic metal film, and micromagnetic structures observed in iron
garnet samples. It will be shown that chirality plays the key role in magnetoelectric phenomena observed in iron garnet films: the electric field-induced generation,
motion and annihilation of magnetic topological defects such as magnetic bubble
domains, domain walls and vertical Bloch lines. As a new degree of freedom that
can be controlled by electric and magnetic field, the chirality is an important issue
for spintronic applications.
The whole of my physics is nothing other than geometry
R. Decartes
6.1 Introduction. Chiral Structures of an Order Parameter
The idea of electromagnetic properties defined by the geometry of structure rather
than its chemical composition is a cornerstone of the concept of metamaterial.
However the notion of geometry-defined physical properties can be also useful while
considering many other problems in condensed matter science, in particular, dealing
with noncollinear ordering in magnets [1, 2] ferroelectrics [3], and liquid crystals
[4, 5].
A. P. Pyatakov (B) · T. T. Gareev · A. S. Kaminskiy · K. S. Antipin · E. P. Nikolaeva ·
D. P. Kulikova · A. S. Sergeev · A. V. Nikolaev
M.V. Lomonosov Moscow State University, Leninskie Gori, Moscow 119991, Russia
e-mail: pyatakov@physics.msu.ru
A. V. Nikolaev
Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, Bld. 1, Moscow 121205,
Russia
© Springer Nature Switzerland AG 2021
E. Kamenetskii (ed.), Chirality, Magnetism and Magnetoelectricity,
Topics in Applied Physics 138,
https://doi.org/10.1007/978-3-030-62844-4_6
127
Magnetoelectricity of Chiral
Micromagnetic Structures
A. P. Pyatakov, T. T. Gareev, A. S. Kaminskiy, K. S. Antipin, E. P. Nikolaeva,
D. P. Kulikova, A. S. Sergeev, and A. V. Nikolaev
Abstract The concept of chirality has profound implications throughout science,
from elementary particle physics to biology. In this review, we will refer to chirality
as a rotational sense of spin structures such as spin cycloid in spiral magnets, micromagnetic structure in curved magnetic film, twisted spin space of 2D electron gas
in an ultrathin magnetic metal film, and micromagnetic structures observed in iron
garnet samples. It will be shown that chirality plays the key role in magnetoelectric phenomena observed in iron garnet films: the electric field-induced generation,
motion and annihilation of magnetic topological defects such as magnetic bubble
domains, domain walls and vertical Bloch lines. As a new degree of freedom that
can be controlled by electric and magnetic field, the chirality is an important issue
for spintronic applications.
The whole of my physics is nothing other than geometry
R. Decartes
6.1 Introduction. Chiral Structures of an Order Parameter
The idea of electromagnetic properties defined by the geometry of structure rather
than its chemical composition is a cornerstone of the concept of metamaterial.
However the notion of geometry-defined physical properties can be also useful while
considering many other problems in condensed matter science, in particular, dealing
with noncollinear ordering in magnets [1, 2] ferroelectrics [3], and liquid crystals
[4, 5].
A. P. Pyatakov (B) · T. T. Gareev · A. S. Kaminskiy · K. S. Antipin · E. P. Nikolaeva ·
D. P. Kulikova · A. S. Sergeev · A. V. Nikolaev
M.V. Lomonosov Moscow State University, Leninskie Gori, Moscow 119991, Russia
e-mail: pyatakov@physics.msu.ru
A. V. Nikolaev
Skolkovo Institute of Science and Technology, Bolshoy Boulevard 30, Bld. 1, Moscow 121205,
Russia
© Springer Nature Switzerland AG 2021
E. Kamenetskii (ed.), Chirality, Magnetism and Magnetoelectricity,
Topics in Applied Physics 138,
https://doi.org/10.1007/978-3-030-62844-4_6
127