About this courseSkip About this course
What you'll learnSkip What you'll learn
- The classification of materials by their magnetic properties
- Mean-field approach to calculation of various magnetic characteristics
- Summary of the phenomenological Landau model
- Opening lecture. Classification of phase transitions
- Atomic magnetic moment
- Physical quantities characterizing the magnetic properties of matter
- Classification of materials for their magnetic properties
- Isolated local magnetic moment in an external magnetic field
- A system of noninteracting local magnetic moments in an external magnetic field
- Curie law
- Effective Weiss field
- Exchange interaction
- Interaction of two local magnetic moments
- Heisenberg model and Ising model
- Mean-field approximation in the Ising model
- Curie-Weiss equation and Curie-Weiss law
- Ferromagnetic transition in the Ising model. Curie temperature. Order parameter
- Temperature dependence of the ferromagnetic order parameter in the Ising model
- Ground and excited states of a ferromagnet in the Ising model
- Free energy of a ferromagnet in the Ising model. Free energy of a ferromagnet near the critical temperature
- Spontaneous symmetry breaking at the paramagnetic-ferromagnetic transition
- Phenomenological Landau theory of second-order phase transitions
- Heat capacity and magnetic susceptibility of the Ising ferromagnet in the mean-field approximation
- Critical exponents
- Exact solution of the Ising model in one dimension
- Ising model for antiferromagnets. Mean-field approximation. Neél temperature
- Magnetic susceptibility of the Ising antiferromagnet in the mean-field approximation
- Problems solving. Concluding remarks
Meet your instructors
Pursue a Verified Certificate to highlight the knowledge and skills you gain $49.00
Official and Verified
Receive an instructor-signed certificate with the institution's logo to verify your achievement and increase your job prospects
Add the certificate to your CV or resume, or post it directly on LinkedIn
Give yourself an additional incentive to complete the course
Support our Mission
EdX, a non-profit, relies on verified certificates to help fund free education for everyone globally
Frequently asked questions
1. How difficult is the course?
The course is designed for graduate students. Thus, basic knowledge of quantum mechanics is obligatory.
2. What resources shall I need for this class?
All you need is time to study with video lectures. In addition, you will need a pen and paper to reproduce the most complex calculations made during the lectures yourself.
3. What is the main thing I shall learn if I take this course?
As a result of the course you will understand in detail the physical principles and mechanisms of the ferromagnetism phenomenon.
Who can take this course?
Unfortunately, learners from one or more of the following countries or regions will not be able to register for this course: Iran, Cuba and the Crimea region of Ukraine. While edX has sought licenses from the U.S. Office of Foreign Assets Control (OFAC) to offer our courses to learners in these countries and regions, the licenses we have received are not broad enough to allow us to offer this course in all locations. EdX truly regrets that U.S. sanctions prevent us from offering all of our courses to everyone, no matter where they live.