SubjectsSubjects(version: 861)
Course, academic year 2019/2020
Magnetism in Condensed Matter - NOOE132
Title: Magnetizmus v pevných látkách
Guaranteed by: Institute of Physics of Charles University (32-FUUK)
Faculty: Faculty of Mathematics and Physics
Actual: from 2019 to 2019
Semester: winter
E-Credits: 5
Hours per week, examination: winter s.:2/1 C+Ex [hours/week]
Capacity: unlimited
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Guarantor: RNDr. Jan Kunc, Ph.D.
Classification: Physics > Solid State Physics
Interchangeability : NFPL122
Annotation -
Last update: T_FUUK (23.04.2015)
The optional semestral lecture on the magnetism in condensed matter is intended for students of physics in the Master study program. The prerequisites are the basic lecture of electromagnetism (Physics II), fundamentals of the quantum theory, solid state physics and mathematical analysis. The introduction of basic magnetic properties is given within the course. The course provides students detailed description of magnetic properties of free and bound electrons, various forms of magnetism, magnetic order, broken symmetry, geometric frustration, domain walls, magnetic resonance and magnetic inte
Aim of the course -
Last update: T_FUUK (23.04.2015)

The main objective of the course is to provide fundamental concepts of the magnetism, magnetic order, interactions and anisotropy. The goal is to introduce modern topics like quantum Hall effects (integer, fractional, spin), basics of the spin electronics, spontaneous symmetry breaking and manifestation of many-body interactions. The accent will be also put on experimental methods, magnetic materials, their growth and applications.

Course completion requirements -
Last update: RNDr. Jan Kunc, Ph.D. (13.06.2019)

The students are required to solve several problems in magnetism of condensed matter. These problems are set up during the course (usually 10-12 sets of problems). Then, the student is allowed to take the oral exam. The oral exam consists of three questions. The first two questions are from the field of general condensed matter magnetism. The last question concerns the student's scientific work and its connection to magnetism.

Literature -
Last update: T_FUUK (23.04.2015)

[1] J.M.Coey, Magnetism and Magnetic Materials, Cambridge University Press, 2010.

[2] S. Blundell, Magnetism in Condensed Matter, Oxford Master Series in Condensed Matter Physics, Oxford University Press, 2001.

Teaching methods - Czech
Last update: T_FUUK (23.04.2015)

Přednáška a cvičení.

Requirements to the exam -
Last update: RNDr. Jan Kunc, Ph.D. (13.06.2019)

Basics of magnetism in condensed matter within the scope of syllabus. A special attention is paid to student's ability to recognize different types of magnetism, their origin and experimental methods to study them.

Syllabus -
Last update: T_FUUK (23.04.2015)
(1) Introduction
Magnetic field, magnetization, magnetic dipole moment, Maxwell equations, magnetostatics, magnetostatic energy and forces, precession, Bohr magneton, spin and orbital angular momentum, Pauli matrices, spinors.

(2) Magnetism of free electrons
Farraday and Voigt effect (oscillator model).

(3) Magnetism of localized electrons on the atom
Hydrogen atom and angular momentum, many-electron atom, paramagnetism, diamagnetism, forces in paramagnetic and diamagnetic matter, ions in the condensed matter, atom in magnetic field, magnetic susceptibility, Brillouin function, van Vleck paramagnetism, Hund’s rules, LS and jj coupling, nuclear spin, hyperfine interaction, g-factor.

(4) Environments
Interaction with the crystal field, Jahn-Teller effect, nuclear magnetic resonance, electron spin resonance, Mossbauer spectroscopy, interaction (magnetic dipole interaction, exchange interaction, direct and indirect interaction, anisotropic exchange interaction).

(5) Ferromagnetism
Weiss model of the ferromagnetism, mean field theory, collective excitations, anisotropy, ferromagnetic effects.

(6) Antiferromagnetism and other magnetic order
Weiss model of the antiferromagnetism, ferrimagnets, amorphous magnets, spin glass, helimagnetisms, measurements of the magnetic order.

(7) Magnetism of metals
Free electron model, Pauli paramagnetism, Landau levels, paramagnetic and diamagnetic response of the electron gas, RKKY interaction, excitations of the electron gas (energy dispersion of the fundamental excitations at the Landau level quantization), many-body interactions, Kondo effect.

(8) Order and broken symmetry
Geometric frustration, Heisenberg and Ising model, excitations, magnons, spin waves, Bloch 3/2 law.

(9) Micromagnetism, domains and hysteresis
Micromagnetic energy, domain walls (orientation, nucleation, localization, dynamics).

(10) Magnetic resonance
Electron paramagnetic resonance, ferromagnetic resonance, nuclear magnetic resonance.

(11) Competing interactions and low dimensionality
Superparamagnetism, quantum phase transitions, anisotropic magnetoresistance, giant magnetoresistance, characteristic lengths, thin layers, quantum dots.

(12) Experimental methods
Crystal growth, measurements of magnetic domains and bulk magnetisation, magneto-optics, magneto-transport (Shubnikov-de Haas oscillations), measurements of magnetization (de Haas-van Alphen effect), SQUID, Hall effects (classical, integer and fractional quantum Hall effect, spin Hall effect).

(13) Magnetic materials
(14) Spin electronics
Spin polarized currents, materials for spin electronics, magnetic sensors, magnetic memory, magnetic recording, collosal magnetorezistance.

Charles University | Information system of Charles University |