Relativistic Electronic Transport Theory PDF Download
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Author: Stephan Lowitzer
Publisher:
ISBN: 9783832526290
Category :
Languages : en
Pages : 0
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Book Description
Spintronics is an emerging technology that exploits the intrinsic spin of the electron and its associated magnetic moment in addition to its fundamental electronic charge. The central issue of this multidisciplinary field is the manipulation of the spin degree of freedom in solid-state systems. Discoveries in recent years have inspired a new route in spintronic research which needs no ferromagnetic components. The research field "spintronic without magnetism" is based on the possibility to manipulate electric currents via spin-orbit coupling only. The spin Hall effect (SHE) is one of the most promising effects for the generation of spin polarized currents which is even present in non-magnetic materials. The SHE appears when an electric current flows through a medium with spin-orbit coupling present, leading to a spin-current perpendicular to the charge current. In this work the SHE as well as the anomalous Hall effect (AHE) are investigated on a first principles level using the spin-polarized fully relativistic Korringa-Kohn-Rostoker Green's function method (SPR-KKR-GF) in conjunction with the linear response Kubo-Streda formalism. Intrinsic as well as extrinsic contributions to the SHE/AHE are treated on equal footing. This opened up for the first time the possibility to reliably decompose the SHE/AHE into skew and side-jump scattering as well as intrinsic contributions in a quantitative manner.
Author: Stephan Lowitzer
Publisher:
ISBN: 9783832526290
Category :
Languages : en
Pages : 0
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Book Description
Spintronics is an emerging technology that exploits the intrinsic spin of the electron and its associated magnetic moment in addition to its fundamental electronic charge. The central issue of this multidisciplinary field is the manipulation of the spin degree of freedom in solid-state systems. Discoveries in recent years have inspired a new route in spintronic research which needs no ferromagnetic components. The research field "spintronic without magnetism" is based on the possibility to manipulate electric currents via spin-orbit coupling only. The spin Hall effect (SHE) is one of the most promising effects for the generation of spin polarized currents which is even present in non-magnetic materials. The SHE appears when an electric current flows through a medium with spin-orbit coupling present, leading to a spin-current perpendicular to the charge current. In this work the SHE as well as the anomalous Hall effect (AHE) are investigated on a first principles level using the spin-polarized fully relativistic Korringa-Kohn-Rostoker Green's function method (SPR-KKR-GF) in conjunction with the linear response Kubo-Streda formalism. Intrinsic as well as extrinsic contributions to the SHE/AHE are treated on equal footing. This opened up for the first time the possibility to reliably decompose the SHE/AHE into skew and side-jump scattering as well as intrinsic contributions in a quantitative manner.
Author:
Publisher: Elsevier
ISBN: 0080540465
Category : Science
Languages : en
Pages : 947
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Book Description
The first volume of this two part series is concerned with the fundamental aspects of relativistic quantum theory, outlining the enormous progress made in the last twenty years in this field. The aim was to create a book such that researchers who become interested in this exciting new field find it useful as a textbook, and do not have to rely on a rather large number of specialized papers published in this area. · No title is currently available that deals with new developments in relativistic quantum electronic structure theory · Interesting and relevant to graduate students in chemistry and physics as well as to all researchers in the field of quantum chemistry · As treatment of heavy elements becomes more important, there will be a constant demand for this title
Author: Boris V. Alexeev
Publisher: Elsevier
ISBN: 044463858X
Category : Science
Languages : en
Pages : 468
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Book Description
Unified Non-Local Relativistic Theory of Transport Processes highlights the most significant features of non-local relativistic theory, which is a highly effective tool for solving many physical problems in areas where the classical local theory runs into difficulties. The book provides the fundamental science behind new non-local physics – generalized for relativistic cases and applied in a range of scales – from transport phenomena in massless physical systems to unified theory of dissipative structures. The book complements the author’s previous monograph on Unified Non-Local Theory of Transport Processes (Elsevier, 2015), which is mainly devoted to non-relativistic non-local physics. Nevertheless, the theory as handled in this new work is outlined independently so the book can be studied on its own. Comprehensive collection of non-local relativistic theory with examples that could previously only be found scattered in the literature Provides applications in quantum non-local relativistic hydrodynamics, quantum solitons in solid matter, and plasmas Uses generalized non-local kinetic theory as a highly effective tool for solving many physical problems beyond classical physics Presents non-local relativistic physics in many related problems of hydrodynamics, gravity, nonlinear optics, time quantization, and applied mathematics Includes concrete mathematical problems that are physically consistent and can be solved and studied both analytically and numerically
Author: Rudolf Sýkora
Publisher: LAP Lambert Academic Publishing
ISBN: 9783659399695
Category :
Languages : en
Pages : 176
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Book Description
The work studies, by means of ab-initio (from-the-first-principles) calculations, effects of the spin-orbit interaction on electron-transport properties of both purely metallic and tunnelling magnetic multilayers. It is shown that even in systems composed of relatively light elements such as nickel and cobalt the interaction may play a crucial role, and not including it in the calculation framework may result in erroneous predictions. The book is written in a self-contained and comprehensive manner. It starts with a detailed explanation of the density-functional theory (DFT), then the particular method of linear muffin-tin orbitals (LMTO) is reviewed. Regarding transport, a form of a Landauer-like formula is derived. Finally, the theory is applied on illustrative systems which show a particularly marked effects of the spin-orbit interaction.
Author: Carlo Cercignani
Publisher: Birkhäuser
ISBN: 3034881657
Category : Science
Languages : en
Pages : 391
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Book Description
The aim of this book is to present the theory and applications of the relativistic Boltzmann equation in a self-contained manner, even for those readers who have no familiarity with special and general relativity. Though an attempt is made to present the basic concepts in a complete fashion, the style of presentation is chosen to be appealing to readers who want to understand how kinetic theory is used for explicit calculations. The book will be helpful not only as a textbook for an advanced course on relativistic kinetic theory but also as a reference for physicists, astrophysicists and applied mathematicians who are interested in the theory and applications of the relativistic Boltzmann equation.
Author: Massimo Fischetti
Publisher: Springer
ISBN: 9783319011004
Category : Technology & Engineering
Languages : en
Pages : 0
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Book Description
This textbook is aimed at second-year graduate students in Physics, Electrical Engineering or Materials Science. It presents a rigorous introduction to electronic transport in solids, especially at the nanometer scale. Understanding electronic transport in solids requires some basic knowledge of Hamiltonian Classical Mechanics, Quantum Mechanics, Condensed Matter Theory, and Statistical Mechanics. Hence this book discusses those sub-topics of these four disciplines which are required to deal with electronic transport in a single, self-contained course. This will be useful for students who intend to work in academia or the nano/micro-electronics industry. Further topics covered include: the theory of energy bands in crystals, of second quantization and elementary excitations in solids, of the dielectric properties of semiconductors with an emphasis on dielectric screening and coupled interfacial modes, on electron scattering with phonons, plasmons, electrons and photons, on the derivation of transport equations in semiconductors and semiconductor nanostructures also at the quantum level. but mainly at the semi-classical level. The text presents examples relevant to current research, thus not only about Si, but also III-V compound semiconductors, nanowires, graphene and graphene nanoribbons. In particular, the text gives major emphasis to plane-wave methods regarding the electronic structure of solids, both DFT and empirical pseudopotentials, always paying attention to their effects on electronic transport and its numerical treatment. The core of the text is electronic transport, with ample discussions on the transport equations derived both in the quantum picture (the Liouville-von Neumann equation) and semi-classically (the Boltzmann transport equation, BTE). Several methods for solving the BTE are also reviewed, including the method of moments, iterative methods, direct matrix inversion, Cellular Automata and Monte Carlo. The first appendix, on the principles of special relativity, is required to understand the ‘minimal’ electromagnetic coupling between electrons and photons and also to introduce the relativistic wave equation for massless spin-1/2 particles. This is of current interest since it is used to describe approximately the electron dispersion in graphene. The second appendix, on alternative interpretations of quantum mechanics, is strictly related to the ‘tricky’ transition from the time-reversible Liouville-von Neumann equation to the time-irreversible Green’s functions, to the density-matrix formalism and, classically, to the Boltzmann transport equation.
Author: Guangjun Mao
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 116
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Book Description
The violent dynamical expansion of dense matter produced in heavy-ion collisions determines that the microscopic transport theories designed for it should keep the line of time evolution and medium effects, both in the in-medium particle drifting and in-medium particle-particle scatterings. A set of relativistic transport equations for particle distribution functions have thus been developed. Starting from a Lagrangian of baryons interacting through mesons, one computes Feynman diagrams up to the Born term through employing the closed time-path Green's function technique. All the ingredients of equations are derived from the same effective interaction and presented analytically. This book clearly shows how a relativistic Boltzmann equation can be deduced from a given interaction through reckoning Feynman diagrams of quantum field theory. While discussions are concentrated on the topic of relativistic heavy-ion collisions, the introduced method is rather general, and may find it's application in the problems of neutrino transportation of astrophysics and electron transportation of solid-state physics.
Author: Willem Andries van Leeuwen
Publisher:
ISBN:
Category : Transport theory
Languages : en
Pages : 69
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Book Description
Author: Willem Andries van Leeuwen
Publisher:
ISBN:
Category :
Languages : nl
Pages : 69
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Book Description
Author: Massimo Fischetti
Publisher: Springer
ISBN: 9783319011028
Category : Technology & Engineering
Languages : en
Pages : 600
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Book Description
This textbook is aimed at second-year graduate students in Physics, Electrical Engineering or Materials Science. It presents a rigorous introduction to electronic transport in solids, especially at the nanometer scale. Understanding electronic transport in solids requires some basic knowledge of Hamiltonian Classical Mechanics, Quantum Mechanics, Condensed Matter Theory, and Statistical Mechanics. Hence this book discusses those sub-topics of these four disciplines which are required to deal with electronic transport in a single, self-contained course. This will be useful for students who intend to work in academia or the nano/micro-electronics industry. Further topics covered include: the theory of energy bands in crystals, of second quantization and elementary excitations in solids, of the dielectric properties of semiconductors with an emphasis on dielectric screening and coupled interfacial modes, on electron scattering with phonons, plasmons, electrons and photons, on the derivation of transport equations in semiconductors and semiconductor nanostructures also at the quantum level. but mainly at the semi-classical level. The text presents examples relevant to current research, thus not only about Si, but also III-V compound semiconductors, nanowires, graphene and graphene nanoribbons. In particular, the text gives major emphasis to plane-wave methods regarding the electronic structure of solids, both DFT and empirical pseudopotentials, always paying attention to their effects on electronic transport and its numerical treatment. The core of the text is electronic transport, with ample discussions on the transport equations derived both in the quantum picture (the Liouville-von Neumann equation) and semi-classically (the Boltzmann transport equation, BTE). Several methods for solving the BTE are also reviewed, including the method of moments, iterative methods, direct matrix inversion, Cellular Automata and Monte Carlo. The first appendix, on the principles of special relativity, is required to understand the ‘minimal’ electromagnetic coupling between electrons and photons and also to introduce the relativistic wave equation for massless spin-1/2 particles. This is of current interest since it is used to describe approximately the electron dispersion in graphene. The second appendix, on alternative interpretations of quantum mechanics, is strictly related to the ‘tricky’ transition from the time-reversible Liouville-von Neumann equation to the time-irreversible Green’s functions, to the density-matrix formalism and, classically, to the Boltzmann transport equation.
