Topological quantum matter : a field theoretical perspective /: a field theoretical perspective. (2018)

• Record Type: Book
• Further Information: Note: Thomas Klein Kvorning.
• Authors: Klein Kvorning, Thomas
• Contents: Intro; Supervisor's Foreword; Acknowledgements; Contents; 1 Introduction; 1.1 Entanglement; 1.2 Topological Interactions; 1.3 Topological Response; 1.4 Outline; 1.5 Notations and Conventions for Topological Matter; References; 2 Anyons and Topological Order; 2.1 Bosons, Fermions and Abelian Anyons; 2.1.1 A Single Particle on An Annulus; 2.1.2 Indistinguishable Particles and the Braid Group; 2.1.3 Mediating Topological Interactions with a Gauge Boson; 2.2 Topological Order in Two Dimensions; 2.2.1 Torus Degeneracy; 2.3 Abelian Chern-Simons Theory; References. 3 Response Theory and Symmetry Protected Topological Phases3.1 The Quantization of the Hall Conductance; 3.2 U(1) Response Theory; 3.2.1 Functional Bosonization; 3.3 The Wen-Zee Term and Chiral Superconductors; 3.3.1 Chiral Superconductors; References; 4 Topological Geometric Response and Topological Order of Super Conductors; 4.1 A Superconducting Bosonic Model; 4.2 Adding Fermions to Get Topological Order; 4.2.1 The Chiral p-Wave SC; 4.3 Non-Abelian Statistics in the Adiabatic Limit; 4.4 The Majorino Conundrum; References. A Conventions and Notation Concerning Differential Forms and U(1) ConnectionsA. 1 Differential Forms; A.2 Normalization; Appendix B Definitions; Appendix C Vector Bundles and Chern Numbers in Quantum Mechanics; C.1 The Berry Connection; C.2 The Berry Field Strength; C.3 Chern Numbers and Chern-Simons Invariants; Reference.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource (x, 81 pages), illustrations (some color)
• Subjects: 530.14/3; Physics; Quantum field theory; Topological fields; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Quantum field theory; Topological fields; Technology & Engineering -- Superconductors & Superconductivity; Science -- Mathematical Physics; Semi-conductors & super-conductors; Mathematical physics; Mathematical physics; Science -- Solid State Physics; Spectrum analysis, spectrochemistry, mass spectrometry; Electronic books
• Languages: English
• ISBNs: 9783319967646; 3319967649
• Related ISBNs: 9783319967639; 3319967630
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 16, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.