Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems: A New Perspective And Foundation For Topotronics

Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems: A New Perspective And Foundation For Topotronics

Author: Felix A Buot

Publisher: World Scientific

Published: 2024-04-23

Total Pages: 594

ISBN-13: 9811264732

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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.


Book Synopsis Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems: A New Perspective And Foundation For Topotronics by : Felix A Buot

Download or read book Nonequilibrium Quantum Transport Theory Of Spinful And Topological Systems: A New Perspective And Foundation For Topotronics written by Felix A Buot and published by World Scientific. This book was released on 2024-04-23 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Nonequilibrium Quantum Transport Theory of Spinful and Topological Systems: A New Perspective and Foundation for Topotronics

Nonequilibrium Quantum Transport Theory of Spinful and Topological Systems: A New Perspective and Foundation for Topotronics

Author: Felix A. Buot

Publisher: World Scientific Publishing Company

Published: 2024

Total Pages: 0

ISBN-13: 9789811264719

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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.


Book Synopsis Nonequilibrium Quantum Transport Theory of Spinful and Topological Systems: A New Perspective and Foundation for Topotronics by : Felix A. Buot

Download or read book Nonequilibrium Quantum Transport Theory of Spinful and Topological Systems: A New Perspective and Foundation for Topotronics written by Felix A. Buot and published by World Scientific Publishing Company. This book was released on 2024 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Quantum Transport Theory

Quantum Transport Theory

Author: Jorgen Rammer

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 262

ISBN-13: 0429982461

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This book provides an introduction to transport theory, the kinetic equation approach and shows the utility of Feynman diagrams in non-equilibrium quantum statistical mechanics. It is helpful for a wider audience than students of condensed matter physics and physicists in general.


Book Synopsis Quantum Transport Theory by : Jorgen Rammer

Download or read book Quantum Transport Theory written by Jorgen Rammer and published by CRC Press. This book was released on 2018-05-04 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to transport theory, the kinetic equation approach and shows the utility of Feynman diagrams in non-equilibrium quantum statistical mechanics. It is helpful for a wider audience than students of condensed matter physics and physicists in general.

Quantum Transport in Submicron Devices

Quantum Transport in Submicron Devices

Author: Wim Magnus

Publisher: Springer Science & Business Media

Published: 2002-06-12

Total Pages: 300

ISBN-13: 9783540433965

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The aim of this book is to resolve the problem of electron and hole transport with a coherent and consistent theory that is relevant to the understanding of transport phenomena in submicron devices. Along the road, readers encounter landmarks in theoretical physics as the authors guide them through the strong and weak aspects of various hypotheses.


Book Synopsis Quantum Transport in Submicron Devices by : Wim Magnus

Download or read book Quantum Transport in Submicron Devices written by Wim Magnus and published by Springer Science & Business Media. This book was released on 2002-06-12 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to resolve the problem of electron and hole transport with a coherent and consistent theory that is relevant to the understanding of transport phenomena in submicron devices. Along the road, readers encounter landmarks in theoretical physics as the authors guide them through the strong and weak aspects of various hypotheses.

An Introduction to Quantum Transport in Semiconductors

An Introduction to Quantum Transport in Semiconductors

Author: David K. Ferry

Publisher: CRC Press

Published: 2017-12-14

Total Pages: 230

ISBN-13: 1351796372

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Throughout their college career, most engineering students have done problems and studies that are basically situated in the classical world. Some may have taken quantum mechanics as their chosen field of study. This book moves beyond the basics to highlight the full quantum mechanical nature of the transport of carriers through nanoelectronic structures. The book is unique in that addresses quantum transport only in the materials that are of interest to microelectronics—semiconductors, with their variable densities and effective masses. The author develops Green’s functions starting from equilibrium Green’s functions and going through modern time-dependent approaches to non-equilibrium Green’s functions, introduces relativistic bands for graphene and topological insulators and discusses the quantum transport changes that these bands induce, and discusses applications such as weak localization and phase breaking processes, resonant tunneling diodes, single-electron tunneling, and entanglement. Furthermore, he also explains modern ensemble Monte Carlo approaches to simulation of various approaches to quantum transport and the hydrodynamic approaches to quantum transport. All in all, the book describes all approaches to quantum transport in semiconductors, thus becoming an essential textbook for advanced graduate students in electrical engineering or physics.


Book Synopsis An Introduction to Quantum Transport in Semiconductors by : David K. Ferry

Download or read book An Introduction to Quantum Transport in Semiconductors written by David K. Ferry and published by CRC Press. This book was released on 2017-12-14 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Throughout their college career, most engineering students have done problems and studies that are basically situated in the classical world. Some may have taken quantum mechanics as their chosen field of study. This book moves beyond the basics to highlight the full quantum mechanical nature of the transport of carriers through nanoelectronic structures. The book is unique in that addresses quantum transport only in the materials that are of interest to microelectronics—semiconductors, with their variable densities and effective masses. The author develops Green’s functions starting from equilibrium Green’s functions and going through modern time-dependent approaches to non-equilibrium Green’s functions, introduces relativistic bands for graphene and topological insulators and discusses the quantum transport changes that these bands induce, and discusses applications such as weak localization and phase breaking processes, resonant tunneling diodes, single-electron tunneling, and entanglement. Furthermore, he also explains modern ensemble Monte Carlo approaches to simulation of various approaches to quantum transport and the hydrodynamic approaches to quantum transport. All in all, the book describes all approaches to quantum transport in semiconductors, thus becoming an essential textbook for advanced graduate students in electrical engineering or physics.

Nonequilibrium Many-Body Theory of Quantum Systems

Nonequilibrium Many-Body Theory of Quantum Systems

Author: Gianluca Stefanucci

Publisher: Cambridge University Press

Published: 2013-03-07

Total Pages: 619

ISBN-13: 0521766176

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A pedagogical introduction to nonequilibrium theory, time-dependent phenomena and excited state properties, for graduate students and researchers.


Book Synopsis Nonequilibrium Many-Body Theory of Quantum Systems by : Gianluca Stefanucci

Download or read book Nonequilibrium Many-Body Theory of Quantum Systems written by Gianluca Stefanucci and published by Cambridge University Press. This book was released on 2013-03-07 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pedagogical introduction to nonequilibrium theory, time-dependent phenomena and excited state properties, for graduate students and researchers.

Topological Quantum Materials

Topological Quantum Materials

Author: Grigory Tkachov

Publisher: CRC Press

Published: 2022-08-18

Total Pages: 288

ISBN-13: 1000544001

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In topological quantum materials, quantum effects emerge at macroscopic scales and are robust to continuous changes in a material’s state. This striking synergy between quantum and topological properties is of great interest for both fundamental research and emerging technologies, especially in the fields of electronics and quantum information. This edition of the book presents a wealth of topological quantum materials, bringing together burgeoning research from different areas: topological insulators, transition metal dichalcogenides, Weyl semimetals, and unconventional and topological superconductors. The realization of the application potential of topological quantum materials requires understanding their properties at a fundamental level. This brings us back to the discovery of topological phases of matter, which earned the Nobel Prize in Physics in 2016. This book explores the connection between pioneering work on topological phases of matter and a flurry of activity that followed. The topics covered include the quantum anomalous and spin Hall effects, emergent axion electrodynamics and topological magnetoelectric effects, Weyl nodes and surface Fermi arcs, weak antilocalization, induced triplet superconductivity, Majorana fermion modes, and the fractional Josephson effect.


Book Synopsis Topological Quantum Materials by : Grigory Tkachov

Download or read book Topological Quantum Materials written by Grigory Tkachov and published by CRC Press. This book was released on 2022-08-18 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: In topological quantum materials, quantum effects emerge at macroscopic scales and are robust to continuous changes in a material’s state. This striking synergy between quantum and topological properties is of great interest for both fundamental research and emerging technologies, especially in the fields of electronics and quantum information. This edition of the book presents a wealth of topological quantum materials, bringing together burgeoning research from different areas: topological insulators, transition metal dichalcogenides, Weyl semimetals, and unconventional and topological superconductors. The realization of the application potential of topological quantum materials requires understanding their properties at a fundamental level. This brings us back to the discovery of topological phases of matter, which earned the Nobel Prize in Physics in 2016. This book explores the connection between pioneering work on topological phases of matter and a flurry of activity that followed. The topics covered include the quantum anomalous and spin Hall effects, emergent axion electrodynamics and topological magnetoelectric effects, Weyl nodes and surface Fermi arcs, weak antilocalization, induced triplet superconductivity, Majorana fermion modes, and the fractional Josephson effect.

Theoretical Study on Correlation Effects in Topological Matter

Theoretical Study on Correlation Effects in Topological Matter

Author: Hiroki Isobe

Publisher: Springer

Published: 2017-04-04

Total Pages: 136

ISBN-13: 9811037434

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This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter. The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin–orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin–orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Z8 group by using the bosonization technique and a geometrical consideration.


Book Synopsis Theoretical Study on Correlation Effects in Topological Matter by : Hiroki Isobe

Download or read book Theoretical Study on Correlation Effects in Topological Matter written by Hiroki Isobe and published by Springer. This book was released on 2017-04-04 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis elucidates electron correlation effects in topological matter whose electronic states hold nontrivial topological properties robust against small perturbations. In addition to a comprehensive introduction to topological matter, this thesis provides a new perspective on correlated topological matter. The book comprises three subjects, in which electron correlations in different forms are considered. The first focuses on Coulomb interactions for massless Dirac fermions. Using a perturbative approach, the author reveals emergent Lorentz invariance in a low-energy limit and discusses how to probe the Lorentz invariance experimentally. The second subject aims to show a principle for synthesizing topological insulators with common, light elements. The interplay between the spin–orbit interaction and electron correlation is considered, and Hund's rule and electron filling are consequently found to play a key role for a strong spin–orbit interaction important for topological insulators. The last subject is classification of topological crystalline insulators in the presence of electron correlation. Unlike non-interacting topological insulators, such two- and three-dimensional correlated insulators with mirror symmetry are demonstrated to be characterized, respectively, by the Z4 and Z8 group by using the bosonization technique and a geometrical consideration.

Scattering Matrix Approach to Non-stationary Quantum Transport

Scattering Matrix Approach to Non-stationary Quantum Transport

Author: Michael V. Moskalets

Publisher: World Scientific

Published: 2012

Total Pages: 297

ISBN-13: 1848168349

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The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum systems of non-interacting electrons. This approach permits a physically clear and transparent description of transport processes in dynamical mesoscopic systems, promising basic elements of solid-state devices for quantum information processing. One of the key effects, the quantum pump effect, is considered in detail. In addition, the theory for the recently implemented new dynamical source ? injecting electrons with time delay much larger than an electron coherence time ? is offered. This theory provides a simple description of quantum circuits with such a single-particle source and shows in an unambiguous way that the tunability inherent to the dynamical systems (in contrast to the stationary ones) leads to a number of unexpected but fundamental effects.


Book Synopsis Scattering Matrix Approach to Non-stationary Quantum Transport by : Michael V. Moskalets

Download or read book Scattering Matrix Approach to Non-stationary Quantum Transport written by Michael V. Moskalets and published by World Scientific. This book was released on 2012 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to introduce the basic elements of the scattering matrix approach to transport phenomena in dynamical quantum systems of non-interacting electrons. This approach permits a physically clear and transparent description of transport processes in dynamical mesoscopic systems, promising basic elements of solid-state devices for quantum information processing. One of the key effects, the quantum pump effect, is considered in detail. In addition, the theory for the recently implemented new dynamical source ? injecting electrons with time delay much larger than an electron coherence time ? is offered. This theory provides a simple description of quantum circuits with such a single-particle source and shows in an unambiguous way that the tunability inherent to the dynamical systems (in contrast to the stationary ones) leads to a number of unexpected but fundamental effects.

NON-EQUILIBRIUM DYNAMICS OF MANY-BODY QUANTUM SYSTEMS

NON-EQUILIBRIUM DYNAMICS OF MANY-BODY QUANTUM SYSTEMS

Author:

Publisher:

Published: 2013

Total Pages:

ISBN-13:

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Rapid progress in nanotechnology and naofabrication techniques has ushered in a new era of quantum transport experiments. This has in turn heightened the interest in theoretical understanding of nonequilibrium dynamics of strongly correlated quantum systems. This project has advanced the frontiers of understanding in this area along several fronts. For example, we showed that under certain conditions, quantum impurities out of equilibrium can be reformulated in terms of an effective equilibrium theory; this makes it possible to use the gamut of tools available for quantum systems in equilibrium. On a different front, we demonstrated that the elastic power of a transmitted microwave photon in circuit QED systems can exhibit a many-body Kondo resonance. We also showed that under many circumstances, bipartite fluctuations of particle number provide an effective tool for studying many-body physics--particularly the entanglement properties of a many-body system. This implies that it should be possible to measure many-body entanglement in relatively simple and tractable quantum systems. In addition, we studied charge relaxation in quantum RC circuits with a large number of conducting channels, and elucidated its relation to Kondo models in various regimes. We also extended our earlier work on the dynamics of driven and dissipative quantum spin-boson impurity systems, deriving a new formalism that makes it possible to compute the full spin density matrix and spin-spin correlation functions beyond the weak coupling limit. Finally, we provided a comprehensive analysis of the nonequilibrium transport near a quantum phase transition in the case of a spinless dissipative resonant-level model. This project supported the research of two Ph. D. students and two postdoctoral researchers, whose training will allow them to further advance the field in coming years.


Book Synopsis NON-EQUILIBRIUM DYNAMICS OF MANY-BODY QUANTUM SYSTEMS by :

Download or read book NON-EQUILIBRIUM DYNAMICS OF MANY-BODY QUANTUM SYSTEMS written by and published by . This book was released on 2013 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Rapid progress in nanotechnology and naofabrication techniques has ushered in a new era of quantum transport experiments. This has in turn heightened the interest in theoretical understanding of nonequilibrium dynamics of strongly correlated quantum systems. This project has advanced the frontiers of understanding in this area along several fronts. For example, we showed that under certain conditions, quantum impurities out of equilibrium can be reformulated in terms of an effective equilibrium theory; this makes it possible to use the gamut of tools available for quantum systems in equilibrium. On a different front, we demonstrated that the elastic power of a transmitted microwave photon in circuit QED systems can exhibit a many-body Kondo resonance. We also showed that under many circumstances, bipartite fluctuations of particle number provide an effective tool for studying many-body physics--particularly the entanglement properties of a many-body system. This implies that it should be possible to measure many-body entanglement in relatively simple and tractable quantum systems. In addition, we studied charge relaxation in quantum RC circuits with a large number of conducting channels, and elucidated its relation to Kondo models in various regimes. We also extended our earlier work on the dynamics of driven and dissipative quantum spin-boson impurity systems, deriving a new formalism that makes it possible to compute the full spin density matrix and spin-spin correlation functions beyond the weak coupling limit. Finally, we provided a comprehensive analysis of the nonequilibrium transport near a quantum phase transition in the case of a spinless dissipative resonant-level model. This project supported the research of two Ph. D. students and two postdoctoral researchers, whose training will allow them to further advance the field in coming years.