Concepts drawn from
topology and differential geometry have become essential to the understanding
of several phenomena in condensed matter physics. This book provides a
self-consistent introduction to the mathematical ideas and methods from these
fields that will enable the student of condensed matter physics to begin
applying these concepts with confidence. This expanded second edition adds
eight new chapters, including one on the classification of topological states
of topological insulators and superconductors and another on Weyl semimetals,
as well as elaborated discussions of the Aharonov-Casher effect, topological
magnon insulators, topological superconductors and K-theory.
Key Features:
- Provides an introduction to
path integral formalism
- Introduces all the basic
concepts in differential geometry and topology
- Presents the quantum Hall
effect using topology concepts
- Includes an introduction to
topological insulators
- Presents the Weyl semimetal
using topological concepts
- Studies spin systems using
topology
