Includes bibliographical references and index.

Preface to the Portugese edition -- Basic notions on topology - Concepts -- Topological insulators -- Topological superconductors -- Topological semimetals -- Spin systems with topological properties -- Photonic systems with topological properties -- Quantum information and topological systems -- Out-of-equilibrium topological systems -- Appendix A: Physical realization of Kitaev model -- Appendix B: fermi surface topology.

"This text serves as a pedagogical introduction to the theoretical concepts on application of topology in condensed matter systems. It covers an introduction to basic concepts of topology, emphasizes the relation of geometric concepts such as the Berry phase to topology, having in mind applications in condensed matter. In addition to describing two basic systems such as topological insulators and topological superconductors, it also reviews topological spin systems and photonic systems. It also describes the use of quantum information concepts in the context of topological phases and phase transitions, and the effect of non-equilibrium perturbations on topological systems. This book provides a comprehensive introduction to topological insulators, topological superconductors and topological semimetals. It includes all the mathematical background required for the subject. There are very few books with such a coverage in the market"-- Publisher's website.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat reader.