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 Bohr–Sommerfeld 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


• Chern–Simons 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