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Topological Insulators
This book provides an introduction to topological matter with a focus on insulating bulk systems. A number of prerequisite concepts and tools are first laid out, including the notion of symmetry transformations, the band theory of semiconductors and aspects of electronic transport. The main part of the book discusses realistic models for both time-reversal-preserving and -violating topological insulators, as well as their characteristic responses to external perturbations. Special emphasis is given to the study of the anomalous electric, thermal, and thermoelectric transport properties, the theory of orbital magnetisation, and the polar Kerr effect. The topological models studied throughout ...
Handbook of Superconductivity
This is the first of three volumes of the extensively revised and updated second edition of the Handbook of Superconductivity. The past twenty years have seen rapid progress in superconducting materials, which exhibit one of the most remarkable physical states of matter ever to be discovered. Superconductivity brings quantum mechanics to the scale of the everyday world where a single, coherent quantum state may extend over a distance of metres, or even kilometres, depending on the size of a coil or length of superconducting wire. Viable applications of superconductors rely fundamentally on an understanding of this intriguing phenomena and the availability of a range of materials with bespoke...
Disorder and Superconductivity: a 21st-century update
Studying defects and imperfections in unconventional superconductors is paramount for fundamental and applied research. Defects play a multifaceted role, from decreasing quality and performance in some situations to enhancing desired properties in others, and as a useful probe and a tool to study the fundamental aspects of superconductivity. The examples are quantum decoherence in superconducting qubits, pinning and critical current in superconducting magnets, and in determining the symmetry of the order parameter, respectively. Studying defects and imperfections can provide insights into the underlying physics of unconventional superconductivity, shedding light on the mechanisms that govern the emergence of superconductivity in these materials, as well as the factors that limit their critical current densities and their stability at elevated temperatures and magnetic fields. Understanding the complex mechanisms through which defects influence the properties of superconductors is key to advancing the development and optimization of high performance superconducting materials for modern technologies.
Bogoliubov-de Gennes Method and Its Applications
The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green’s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of ...
Handbook of Superconducting Materials, 2nd Edition (Volume 1)
"Completely revised and updated, the second edition of the Handbook of Superconductivity is now available in three stand-alone volumes. As a whole they cover the depth and breadth of the field, drawing on an international pool of respected academics and industrial engineers. The three volumes provide hands-on guidance to the manufacturing and processing technologies associated with superconducting materials and devices. A comprehensive reference, the handbook supplies a tutorial on techniques for the beginning graduate student and a source of ancillary information for practicing scientists. The past twenty years have seen rapid progress in superconducting materials, which exhibit one of the ...
Theoretical Tools for Spin Models in Magnetic Systems
The book is dedicated to the study of theoretical tools in spin models in magnetism. The book presents the basic tools to treat spin models in magnetic systems such as: spin waves, Schwinger bosons formalism, Self-consistent harmonic approximation, Kubo theory, Perturbation theory using Green's function. Several examples where the theory is applied in modern research, are discussed. Some important areas of interest in magnetism today are spin liquids and magnon topological insulators. Both of these subjects are discussed in the book. The book has been written to help graduate students working in the area of spin models in magnetic systems. There are a lot of books that lead with Green's function, but a student has to study almost the whole book to grasp some idea of the theme. The same is true for the linear response theory and spin liquids. The author believes this book will enable students to start doing research in spin models without the need for extensive reading of the literature.
Electromagnetic Waves and Lasers
This book reviews basic electromagnetic (EM) wave theory and applies it specifically to lasers in order to give the reader not only tangible examples of how the theory is manifested in real life, but also practical knowledge about lasers, and their operation and usage. The latter can be useful for those involved with using lasers. As a short treatise on this subject matter, this book is not intended to dwell deeply into the details of EM waves nor lasers. A bibliography is provided for those who wish to explore in more depth the topics covered in this book. Rather the aim of this book is to offer a quick overview, which will allow the reader to gain a competent general understanding of EM waves and lasers.
