| Academic Year |
2024Year |
School/Graduate School |
Graduate School of Advanced Science and Engineering (Master's Course) Division of Advanced Science and Engineering Chemistry Program |
| Lecture Code |
WSD16000 |
Subject Classification |
Specialized Education |
| Subject Name |
Chiral Topological Solitons |
Subject Name
（Katakana） |
|
Subject Name in
English |
Chiral Topological Solitons |
| Instructor |
ANDREY LEONOV |
Instructor
(Katakana) |
アンドレイ レオノフ |
| Campus |
Higashi-Hiroshima |
Semester/Term |
1st-Year, Second Semester, 3Term |
| Days, Periods, and Classrooms |
(3T) Thur3-4：SCI E211 |
| Lesson Style |
Lecture |
Lesson Style
(More Details) |
|
| |
| Credits |
1.0 |
Class Hours/Week |
|
Language of Instruction |
E
:
English |
| Course Level |
6
:
Graduate Advanced
|
| Course Area（Area） |
25
:
Science and Technology |
| Course Area（Discipline） |
06
:
Physics |
| Eligible Students |
|
| Keywords |
soliton, skyrmion, bimeron, hopfion, chiral magnets, Dzyaloshinskii-Moriya interaction, domain wall, spiral |
| Special Subject for Teacher Education |
|
Special Subject |
|
Class Status
within Educational
Program
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Criterion referenced
Evaluation
(Applicable only to targeted subjects for undergraduate students) | |
|---|
Class Objectives
/Class Outline |
To deduce soliton stability in different condensed-matter systems such as chiral magnets and chiral liquid crystals; to investigate the internal properties of different soliton varieties such as skyrmions, hopfions etc. To get acquainted with the numerical methods of mumax3, matlab, Mathematica. |
| Class Schedule |
lesson1 Solitons. Historical overview. KdV equation. Solitons in nature at different scales.
lesson2 Basics of Micromagnetics. Overview of energy terms to stabilize multidimensional solitons. Continuous and discrete energy functionals.
lesson3 Homogeneous states in an applied magnetic field for cubic and uniaxial magnets
lesson4 Domain walls. Phase portraits. Pendulum. Neel and Bloch domain walls.
lesson5 one-dimensional spiral states: helicoids and cones. Field and anisotropy-driven transformation.
lesson6 two-dimensional isolated skyrmions. First-order phase transition with spirals. Condensation of skyrmions into a crystal.
lesson7 Hopfion. The problem of hopfion stability in bulk cubic helimagnets.
lesson8 Solitons in chiral liquid crystals. Defects. Torons. The notion of additional surface twists.
lesson9
lesson10
lesson11
lesson12
lesson13
lesson14
lesson15 |
Text/Reference
Books,etc. |
1) Physics of Ferromagnetism, Soshin Chikazumi
2) A. Hubert, R. Shaefer, Magnetic Domains, The Analysis of Magnetic Microstructures
3) lecture notes |
PC or AV used in
Class,etc. |
|
| (More Details) |
|
| Learning techniques to be incorporated |
|
Suggestions on
Preparation and
Review |
use provided lecture notes |
| Requirements |
|
| Grading Method |
attendance, work in class |
| Practical Experience |
|
| Summary of Practical Experience and Class Contents based on it |
|
| Message |
|
| Other |
|
Please fill in the class improvement questionnaire which is carried out on all classes.
Instructors will reflect on your feedback and utilize the information for improving their teaching. |