Topological Quantum Matter: A Field Theoretical Perspective

✍ Scribed by Thomas Klein Kvorning

• Publisher: Springer International Publishing
• Year: 2018
• Tongue: English
• Leaves: 89
• Series: Springer Theses
• Edition: 1st ed.
• Category: Library

✦ Synopsis

This book offers a theoretical description of topological matter in terms of effective field theories, and in particular topological field theories, focusing on two main topics: topological superconductors and topological insulators.

Even though there is vast literature on these subjects, the book fills an important gap by providing a concise introduction to both topological order and symmetry-protected phases using a modern mathematical language, and developing the theoretical concepts by highlighting the physics and the physical properties of the systems. Further, it discusses in detail the topological interactions for topologically ordered matter, and the response to smooth external fields for symmetry protected matter.

The book also covers more specialized topics that cannot be found elsewhere. Specifically, the response of superconductors to geometry, including the newly discovered geo-Meissner effect; and a correction to the usual Meissner effect, only present in the topologically interesting chiral superconductors.

✦ Table of Contents

Front Matter ....Pages i-x
Introduction (Thomas Klein Kvorning)....Pages 1-11
Anyons and Topological Order (Thomas Klein Kvorning)....Pages 13-33
Response Theory and Symmetry Protected Topological Phases (Thomas Klein Kvorning)....Pages 35-50
Topological Geometric Response and Topological Order of Super Conductors (Thomas Klein Kvorning)....Pages 51-67
Back Matter ....Pages 69-81

✦ Subjects

Physics; Solid State Physics; Strongly Correlated Systems, Superconductivity; Mathematical Methods in Physics