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Lecture: Symmetry concepts and their applications in solid state physics and materials science - Details

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Symmetry concepts and their applications in solid state physics and materials science

General information

Course number PHM-0228
Semester SS 2019
Home institute Lehrstuhl für Experimentalphysik V
Courses type Lecture in category Teaching
First appointment Thu , 02.05.2019 10:00 - 11:30, Room: (S-305)
Hauptunterrichtssprache englisch
Miscellanea The course aims at providing insights into the simple use of symmetry concepts to understand phenomena and material properties without performing detailed calculations. On the same basis, it gives some guides how to make minimal plans for experiments using the symmetry of the studied materials or vice versa how to determine the symmetry of materials from the output of experiments.
ECTS points 6

Lecturers

Times

Thursday: 10:00 - 11:30, weekly (from 02/05/19)
Friday: 10:00 - 11:30, weekly (from 03/05/19)

Course location

(S-305) Thu.. 10:00 - 11:30 (11x)
(S-403) Fri.. 10:00 - 11:30 (13x)

Fields of study

Comment/Description

The topical outline of the course is as follows:

Introduction and common examples

o Motivating examples

o Polar and axial vectors and tensors

o Spatial and temporal symmetries and charge conjugation

o Symmetries of measurable quantities and fields

o Symmetries of physical laws (classical and quantum)

o Conservation laws (linear and angular momentum, energy, etc.)

o Symmetry of measurement configurations (reciprocity, etc.)

Neumann principle

o Linear response theory and Onsager relations

o Applications to vector and tensor quantities: electric and magnetic dipole moment of molecules; ferroelectricity, ferromagnetism, piezoelectricity and magnetoelectricity in crystals; wave propagation in anisotropic media (sound and light)

Symmetry allowed energy terms

o On the level of classical free energy: Polar, nematic and magnetic order parameters (Landau expansion)

o On the level of Hamiltonians: Molecular vibrations, crystal field potential, magnetic interactions

Symmetry of physical states

o Spatial inversion and parity eigenstates

o Discrete translations and the Bloch states

Spontaneous symmetry breaking upon phase transitions (Landau theory)

Outlook: Symmetry guides for skyrmion-host materials, multiferroic compounds and axion insulators


The course aims at providing insights into the simple use of symmetry concepts to understand phenomena and material properties without performing detailed calculations. On the same basis, it gives some guides how to make minimal plans for experiments using the symmetry of the studied materials or vice versa how to determine the symmetry of materials from the output of experiments.

attendance

Current number of participants 2