Nonequilibrium quantum transport theory of spinful and topological systems a new perspective and foundation for topotronics
Mixed space representations in CMP -- Physics of commutators and anti-commutators -- The expansion of any operators in CMP : phase-space point projector -- Phase-space trace formula : Weyl transform of matrix elements -- Fully symmetric translation operators -- Direct construction of path integral i...
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| Format: | UnknownFormat |
| Sprache: | eng |
| Veröffentlicht: |
New Jersey, London, Singapore, Beijing, Shanghai, Hong Kong, Taipei, Chennai, Tokyo
World Scientific
2024
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| Online Zugang: | Inhaltsverzeichnis |
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Tag hinzufügen | Zusammenfassung: | Mixed space representations in CMP -- Physics of commutators and anti-commutators -- The expansion of any operators in CMP : phase-space point projector -- Phase-space trace formula : Weyl transform of matrix elements -- Fully symmetric translation operators -- Direct construction of path integral in CMP -- General mixed space representation in QFT -- Mixed space representation in QFT : Bosons -- mixed space representation in QFT : Fermions -- Third quantization scheme in QFT -- Chiral degrees of freedom and quantization -- B-S quantization in IQHE -- Quantum superfield transport theory -- Quantum transport equations of particles -- Quantum transport of quantized fields -- Spin magnetization quantum transport equations : spin and charge correlations -- Multi-band quantum transport : spin, pseudo-spin, and charge coupling -- Two tight-binding energy bands -- A perspective on entanglement characterization and measures -- Entanglement measures -- The concurrence concept and emergent qubit -- Joint distribution as a form of entanglement -- Chiral entanglement and topological phases -- Quantum superfield transport theory of IQHE -- Covariant derivatives, Wilson lines, and Chern numbers -- Quantum superfield transport theory of FQHE -- Chern-Simons theory, IQHE and FQHE regions in Hofstadter butterfly. "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"-- |
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| Beschreibung: | Literaturverzeichnis: Seite 551-563 |
| Beschreibung: | xxiv, 569 Seiten Illustrationen, Diagramme |
| ISBN: | 9789811264719 978-981-12-6471-9 |