Details
Topological Insulators
IOP Concise Physics
|
57,99 € |
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| Verlag: | Morgan & Claypool Publishers |
| Format: | EPUB |
| Veröffentl.: | 24.04.2019 |
| ISBN/EAN: | 9781681745183 |
| Sprache: | englisch |
| Anzahl Seiten: | 215 |
DRM-geschütztes eBook, Sie benötigen z.B. Adobe Digital Editions und eine Adobe ID zum Lesen.
Beschreibungen
<p><b>This book provides an introduction to topological matter with a focus on insulating bulk systems.</b></p>
<p>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 the book discusses realistic models for both time-reversal-preserving and -violating topological insulators, as well as their characteristic responses to external perturbations. Special emphasis is given to the study of the anomalous electric, thermal, and thermoelectric transport properties, the theory of orbital magnetisation, and the polar Kerr effect. The topological models studied throughout this book become unified and generalised by means of the tenfold topological-classification framework and the respective systematic construction of topological invariants. This approach is further extended to topological superconductors and topological semimetals. This book covers a wide range of topics and aims at the transparent presentation of the technical aspects involved. For this purpose, homework problems are also provided in dedicated Hands-on sections. Given its structure and the required background level of the reader, this book is particularly recommended for graduate students or researchers who are new to the field.</p>
<p>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 the book discusses realistic models for both time-reversal-preserving and -violating topological insulators, as well as their characteristic responses to external perturbations. Special emphasis is given to the study of the anomalous electric, thermal, and thermoelectric transport properties, the theory of orbital magnetisation, and the polar Kerr effect. The topological models studied throughout this book become unified and generalised by means of the tenfold topological-classification framework and the respective systematic construction of topological invariants. This approach is further extended to topological superconductors and topological semimetals. This book covers a wide range of topics and aims at the transparent presentation of the technical aspects involved. For this purpose, homework problems are also provided in dedicated Hands-on sections. Given its structure and the required background level of the reader, this book is particularly recommended for graduate students or researchers who are new to the field.</p>
<ul>
<li>Preface</li>
<li>Acknowledgements</li>
<li>Author biography</li>
<li>Symmetries and effective Hamiltonians</li>
<li>Electron-coupling to external fields and transport theory</li>
<li>Jackiw-Rebbi model and Goldstone-Wilczek formula</li>
<li>Topological insulators in 1+1 dimensions</li>
<li>Chern insulators—fundamentals</li>
<li>Chern insulators—applications</li>
<li>Z<sub>2</sub> topological insulators</li>
<li>Topological classification of insulators and beyond</li>
<li>Index</li>
</ul>
<li>Preface</li>
<li>Acknowledgements</li>
<li>Author biography</li>
<li>Symmetries and effective Hamiltonians</li>
<li>Electron-coupling to external fields and transport theory</li>
<li>Jackiw-Rebbi model and Goldstone-Wilczek formula</li>
<li>Topological insulators in 1+1 dimensions</li>
<li>Chern insulators—fundamentals</li>
<li>Chern insulators—applications</li>
<li>Z<sub>2</sub> topological insulators</li>
<li>Topological classification of insulators and beyond</li>
<li>Index</li>
</ul>
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