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This book provides an introduction to the physics of
nanoelectronics, with a focus on the theoretical aspects of
nanoscale devices. The book begins with an overview of the
mathematics and quantum mechanics pertaining to nanoscale
electronics, to facilitate the understanding of subsequent
chapters. It goes on to encompass quantum electronics, spintronics,
Hall effects, carbon and graphene electronics, and topological
physics in nanoscale devices.
Theoretical methodology is developed using quantum mechanical and
non-equilibrium Green s function (NEGF) techniques to calculate
electronic currents and elucidate their transport properties at the
atomic scale. The spin Hall effect is explained and its application
to the emerging field of spintronics - where an electron s spin as
well as its charge is utilised - is discussed. Topological dynamics
and gauge potential are introduced with the relevant mathematics,
and their application in nanoelectronic systems is explained.
Graphene, one of the most promising carbon-based nanostructures for
nanoelectronics, is also explored.
Begins with an overview of the mathematics and quantum mechanics
pertaining to nanoscale electronicsEncompasses quantum electronics,
spintronics, Hall effects, carbon and graphene electronics, and
topological physics in nanoscale devicesComprehensively introduces
topological dynamics and gauge potential with the relevant
mathematics, and extensively discusses their application in
nanoelectronic systems"
This book is written with the view of providing learners a fast
track into the modern applications of quantum physics. It is
designed as a book of Problems and Solutions, consisting of more
than 200 exercises with explicitly worked out solutions.Focusing on
modern research topics, the problems are designed to suit recent
developments such as graphene, topological materials, spintronics,
and quantum computation and information (QCI). Categorized into
eight chapters, the book first introduces QM for undergraduates
with an emphasis on the Dirac formalism and its representation in
the form of matrices and functions. Chapter 2 is dedicated to spin
physics, where the spinor formalism is increasingly relevant to
research on spintronics, graphene, topological systems, Dirac,
Weyl, and all branches of quantum information sciences. Chapter 3
deals with second quantization and its applications in nanoscience
and condensed matter physics. Building on the foundations of the
previous two chapters, Chapter 4 expounds on the non-equilibrium
Green's Function (NEGF) - a modern topic with problems designed to
suit applications in nanoscale electronic and spintronics systems.
Chapter 5 covers gauge fields and topology, with a modern emphasis
on applications in new materials such as graphene and topological
systems. Chapter 6 comprises numerous advanced sub-topics in
condensed matter physics as well as conventional topics such as
band structures and entanglement entropy. Chapter 7 extends to
cross-disciplinary and miscellaneous physics, where the topics are
not necessarily quantum by nature, but deal with issues that have
inspired the development of quantum mechanics and quantum fields.
Lastly, the book caters to quantum computation with a preamble on
the QM foundations of spin, projection, measurement and density
matrices which underpin applications in quantum gates, quantum
teleportation and entanglement.Readers can expect a handy and
effective guide in mastering problem solving techniques in frontier
applications of quantum physics.
This book is written with the view of providing learners a fast
track into the modern applications of quantum physics. It is
designed as a book of Problems and Solutions, consisting of more
than 200 exercises with explicitly worked out solutions.Focusing on
modern research topics, the problems are designed to suit recent
developments such as graphene, topological materials, spintronics,
and quantum computation and information (QCI). Categorized into
eight chapters, the book first introduces QM for undergraduates
with an emphasis on the Dirac formalism and its representation in
the form of matrices and functions. Chapter 2 is dedicated to spin
physics, where the spinor formalism is increasingly relevant to
research on spintronics, graphene, topological systems, Dirac,
Weyl, and all branches of quantum information sciences. Chapter 3
deals with second quantization and its applications in nanoscience
and condensed matter physics. Building on the foundations of the
previous two chapters, Chapter 4 expounds on the non-equilibrium
Green's Function (NEGF) - a modern topic with problems designed to
suit applications in nanoscale electronic and spintronics systems.
Chapter 5 covers gauge fields and topology, with a modern emphasis
on applications in new materials such as graphene and topological
systems. Chapter 6 comprises numerous advanced sub-topics in
condensed matter physics as well as conventional topics such as
band structures and entanglement entropy. Chapter 7 extends to
cross-disciplinary and miscellaneous physics, where the topics are
not necessarily quantum by nature, but deal with issues that have
inspired the development of quantum mechanics and quantum fields.
Lastly, the book caters to quantum computation with a preamble on
the QM foundations of spin, projection, measurement and density
matrices which underpin applications in quantum gates, quantum
teleportation and entanglement.Readers can expect a handy and
effective guide in mastering problem solving techniques in frontier
applications of quantum physics.
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