Topological Aspects of Condensed Matter Physics : Lecture Notes of the Les Houches Summer School: Volume 103, August 2014 (Lecture Notes of the Les Houches Summer School)

Chamon, Claudio (EDT)/ Goerbig, Mark O. (EDT)/ Moessner, Roderich (EDT)

Oxford University Press（2017/01発売）

• 製本 Hardcover:ハードカバー版／ページ数 704 p.
• 言語 ENG
• 商品コード 9780198785781
• DDC分類 530.41

Full Description

This book contains lecture notes by world experts on one of the most rapidly growing fields of research in physics. Topological quantum phenomena are being uncovered at unprecedented rates in novel material systems. The consequences are far reaching, from the possibility of carrying currents and performing computations without dissipation of energy, to the possibility of realizing platforms for topological quantum computation.The pedagogical lectures contained in this book are an excellent introduction to this blooming field. The lecture notes are intended for graduate students or advanced undergraduate students in physics and mathematics who want to immerse in this exciting XXI century physics topic.

This Les Houches Summer School presents an overview of this field, along with a sense of its origins and its placement on the map of fundamental physics advancements. The School comprised a set of basic lectures (part 1) aimed at a pedagogical introduction of the fundamental concepts, which was accompanied by more advanced lectures (part 2) covering individual topics at the forefront of today's research in condensed-matter physics.

Contents

1: Joel Moore: An Introduction to topological phases of electrons
2: Andrei Bernevig and Titus Neupert: Topological Superconductors and Category Theory
3: John Chalker: Spin liquids and frustrated magnetism
4: Nicolas Regnault: Entanglement Spectroscopy and its Application to the Quantum Hall Effects
5: Franz Wegner: Duality in generalized Ising models
6: Ashvin Vishwanath: Topological insulators and related phases with strong interactions
7: Christopher Mudry: Fractional Abelian topological phases of matter for fermions in two-dimensional space
8: Frank Pollmann: Symmetry Protected Topological Phases in One-Dimensional Systems
9: Felix Von Oppen, Yang Peng, Falko Pientka: Topological superconducting phases in one dimension
10: David Carpentier: Transport of Dirac Surface States
11: Benoit Douçot: Spin textures in quantum Hall systems
12: Claudio Castelnovo: Out of Equilibrium behaviour in topologically ordered systems on a lattice: fractionalised excitations and kinematic constraints
13: Antti J. Niemi: What is life - 70 years after Schrödinger