Cargando…
Topological insulators /
This book provides an introduction to topological matter with a focus on insulating bulk systems. A number of prerequisite concepts and tools are first laid out, including the notion of symmetry transformations, the band theory of semiconductors and aspects of electronic transport. The main part of...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
San Rafael [California] (40 Oak Drive, San Rafael, CA, 94903, USA) :
Morgan & Claypool Publishers,
[2019]
|
| Colección: | IOP (Series). Release 6.
IOP concise physics. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 1. Symmetries and effective Hamiltonians
- 1.1. Crash course on symmetry transformations
- 1.2. Effective Hamiltonians for bulk III-V semiconductors
- 1.3. Hands-on : symmetry analysis of a triple quantum dot
- 2. Electron-coupling to external fields and transport theory
- 2.1. Electromagnetic potentials, fields and currents
- 2.2. Minimal coupling and electric charge conservation law
- 2.3. Charge current in lattice systems
- 2.4. Linear response and current-current correlation functions
- 2.5. Matsubara technique and thermal Green functions
- 2.6. Matsubara formulation of linear response
- 2.7. Charge conductivity of an electron gas
- 2.8. Thermoelectric and thermal transport
- 2.9. Hands-on : magnetoconductivity tensor of a triangular triple quantum dot
- 2.10. Hands-on : Boltzmann transport equation
- 3. Jackiw-Rebbi model and Goldstone-Wilczek formula
- 3.1. Helical electrons in nanowires : emergent Jackiw-Rebbi model
- 3.2. Zero-energy solutions in the Jackiw-Rebbi model
- 3.3. The Jackiw-Rebbi model in condensed matter physics
- 3.4. Goldstone-Wilczek formula and dissipationless current
- 3.5. Hands-on : derivation of the Goldstone-Wilczek formula for a sliding charge density wave conductor
- 4. Topological insulators in 1+1 dimensions
- 4.1. Prototypical topological-insulator model in 1+1 dimensions
- 4.2. Lattice topological-insulator model and higher winding numbers
- 4.3. Adiabatic transport : Thouless pump and Berry curvature
- 4.4. Berry phase
- 4.5. Hands-on : winding number in a 3+1d model
- 4.6. Hands-on : current and electric polarisation formula
- 4.7. Hands-on : violation of chiral symmetry and electric polarisation
- 5. Chern insulators--fundamentals
- 5.1. Jackiw-Rebbi model and Dirac physics in 2 + 1d
- 5.2. Chern insulator in 2 + 1d
- 5.3. Quantised Hall conductance and Chern number--bulk approach
- 5.4. Chern insulators in higher dimensions
- 5.5. Dimensional reduction : chiral anomaly
- 5.6. Hands-on : Chern-Simons action
- 5.7. Hands-on : Chern number for interacting systems
- 5.8. Hands-on : second Chern number
- 6. Chern insulators--applications
- 6.1. Dynamical anomalous Hall response and polar Kerr effect
- 6.2. Chern insulators in an external magnetic field
- 6.3. Anomalous thermoelectric and thermal Hall transport
- 6.4. Hands-on : magnetic-field-induced Chern systems
- 6.5. Hands-on : thermoelectric transport in the Haldane model
- 7. Z2 topological insulators
- 7.1. Z2 topological insulators in 2 + 1 dimensions
- 7.2. Z2 topological insulators in 3 + 1 dimensions
- 7.3. Dimensional reduction from a 4 + 1d Chern insulator and magnetoelectric coupling
- 7.4. Hands-on : quasiparticle interference on the topological surface
- 7.5. Hands-on : topological Kondo insulator
- 8. Topological classification of insulators and beyond
- 8.1. Generalised antinunitary symmetries and symmetry classes
- 8.2. The art of topological classification
- 8.3. Topological classification of gapless systems
- 8.4. Topological classification of insulators and defects
- 8.5. Topological superconductors and Majorana fermions
- 8.6. Further topics and outlook
- 8.7. Hands-on : Berry magnetic monopoles in hole-like semiconductors
- 8.8. Hands-on : Floquet topological insulator.