The interaction between electrons and phonons in solids.
Electronic band structure: Describes the energy levels of electrons in solids, and how they contribute to the electronic properties of materials.
Phonon modes: Describes the different vibrational modes that exist in solids and how they are related to the lattice structure.
Localized and delocalized electron states: Describes the different types of electron states that exist in materials and how they contribute to the electronic properties of materials.
Symmetry of crystal structures: Describes how the symmetry of the lattice affects the electronic and vibrational properties of materials.
Density of states: Describes the number of electronic states available in a material for a given energy range.
Scattering mechanisms: Describes the various ways in which electrons and phonons can interact with one another in a material.
Calculation methods: Describes the computational methods used to study electron-phonon coupling, such as density functional theory and Green's function methods.
Transport properties of materials: Describes how the electron and phonon properties of materials affect their electrical, thermal, and optical transport properties.
Superconductivity: Describes how electron-phonon coupling can lead to the phenomenon of superconductivity, in which materials can conduct electricity with zero resistance.
Optical properties of materials: Describes how electron-phonon coupling affects the absorption and emission of light by materials.
Magnetic properties of materials: Describes how electron-phonon coupling affects the magnetic properties of materials.
Ab initio calculations: Describes how electron-phonon coupling can be studied using ab initio calculations, which are based purely on fundamental physical principles rather than empirical data.
Density functional theory: Describes the computational method used to study electron-phonon coupling in which the electronic structure of a material is calculated from its density of electrons.
Green's function calculations: Describes the method used to study electron-phonon coupling based on the equations of motion of the electrons and phonons in a material.
Experimental techniques: Describes the various experimental techniques used to study electron-phonon coupling, such as angle-resolved photoemission spectroscopy and neutron scattering.
Fröhlich Interaction: This is a type of interaction between an electron and a lattice phonon, which is mediated by the Coulomb force.
Holstein Interaction: This is a type of interaction between an electron and a lattice phonon, which is mediated by the displacement of the lattice atoms.
Peierls Instability: This is a type of interaction between an electron and a lattice phonon, which results in a distortion of the lattice structure due to an internal instability of the electron-phonon system.
Kohn Anomaly: This is a type of interaction between an electron and a lattice phonon, which leads to a decrease in the intensity of the phonon modes near the Brillouin zone boundary.
Migdal-Eliashberg Theory: This is a theoretical framework used to describe the electron-phonon interaction in a superconductor, taking into account the strong coupling between the electrons and the phonons.
Polaron Effect: This is a type of interaction between an electron and a phonon, leading to the formation of a quasi-particle called a polaron, which is a dressed electron surrounded by a cloud of phonons.
Spin-Phonon Coupling: This is a type of interaction between the spin of an electron and the vibrations of the lattice, leading to various magnetic phenomena, such as magnetostriction and magnon-phonon coupling.