This book employs nonequilibrium quantum transport, based on the use of mixed Hilbert space representations and real time quantum superfield transport theory, to explain various topological phases of systems with entangled chiral degrees of freedom. It presents an entirely new perspective on topological systems, entanglement-induced localization and delocalization, integer quantum Hall effect (IQHE), fractional quantum Hall effect (FQHE), and its respective spectral zones in the Hofstadter butterfly spectrum. A simple and powerful, intuitive, and wide-ranging perspective on chiral transport dynamics.
Contents:
Preface
About the Author
Condensed Matter Physics and Quantum Field Theory
Chiral Quantization: U(1) Gauge Theory of BohrSommerfeld Quantization
Non-equilibrium Quantum Superfield Transport Theory
Quantum Transport of Spin and Pseudospin Systems
A Perspective on Quantum Entanglements
Entanglement Delocalization of Topological Insulators
Quantum Transport Theory of IQHE and FQHE
ChernSimons Theory of Hofstadter Butterfly Spectrum
Appendices
Bibliography
Index
Readership: Foundational tool for engineers and computational scientists working with topological nanodevices. Also relevant to graduates and research professionals in condensed matter physics. Key Features:
The treatment of the book is entirely unique and presents a new perspective in the field