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This book provides an introduction to topological matter, with a focus on insulating bulk systems. After introducing prerequisite concepts and tools, the book discusses realistic models for both time-reversal-preserving and -violating topological insulators, as well as their characteristic responses to external perturbations. These topological models are then unified and generalised by means of the tenfold topological-classification framework and the respective systematic construction of topological invariants. 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.
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