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E-book
Author Combescot, Roland, author

Title Superconductivity : an introduction / Roland Combescot, Ecole Normale Supérieure, Paris
Published Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022

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Description 1 online resource
Contents Cover -- Half-title Page -- Title Page -- Copyright Page -- Contents -- Preface -- 1 Phenomenology -- 1.1 Basic Properties -- 1.2 London Theory -- 1.3 Electromagnetic Response -- 1.4 Physical Ideas, Microscopic Origin of Superconductivity -- 1.5 Further Reading: Magnetic Field Penetration in the General Case -- 2 The BCS Theory -- 2.1 The Cooper Problem -- 2.2 Effective Interaction -- 2.3 BCS Wave Function -- 2.4 Determination of u[sub(k)] and v[sub(k)]. The Gap Equation -- 2.5 Further Analysis of the Ground State -- 2.6 Further Reading: Pair Wave Function, Mathematical Details -- 3 Thermodynamics of the BCS Theory -- 3.1 Excited States -- 3.2 Tunneling -- 3.3 Free Energy -- 3.4 Gap Equation, Critical Temperature -- 3.5 Specific Heat, Critical Field -- 3.6 Isotope Effect, Coulomb Repulsion -- 3.7 Electron-Phonon Interaction -- 3.8 Other Pairing Symmetries and Mechanisms -- 4 Response to an External Perturbation -- 4.1 Introduction -- 4.2 Coupling to the Electromagnetic Field -- 4.3 Linear Response -- 4.4 Coherence Factors -- 4.5 BCS Response Function -- 4.6 Conductivity and Meissner Effect for the BCS State -- 4.7 Impurities Effect -- 4.8 Other Responses -- 5 Macroscopic Effects -- 5.1 Gauge Invariance -- 5.2 Flux Quantization -- 5.3 Josephson Effects -- 6 Ginzburg-Landau Theory -- 6.1 Simple Ginzburg-Landau Theory -- 6.2 Magnetic Field Effect -- 6.3 Vortices -- 6.4 Application of Superconductivity to High Currents and Fields -- 6.5 Validity of the Theory, the Ginzburg Criterium -- 6.6 Further Reading: The Little-Parks Experiment -- 7 Bose-Einstein Condensation -- 7.1 The Perfect Bose Gas -- 7.2 The Effect of Interactions -- 7.3 Bogoliubov Theory -- 7.4 The Case of[sup(4)]He -- 7.5 Superfluidity -- 7.6 Critical Velocity -- 7.7 Further Reading: Feynman Relation -- 8 The BEC-BCS Crossover -- 8.1 Cold Atoms -- 8.2 Scattering Length
8.3 Feshbach Resonance -- 8.4 The BEC-BCS Crossover, the Unitary Limit -- 8.5 The BCS Approximation -- 8.6 The Vortex Lattice -- 8.7 Spin-Polarized Fermi Gases -- 9 Strong Coupling Superconductivity -- 9.1 Introduction -- 9.2 Normal State -- 9.3 Eliashberg Equations -- 9.4 Critical Temperature -- 9.5 Coulomb Repulsion -- 9.6 Density of States -- 9.7 Further Reading: Migdal's Theorem -- Appendix Second Quantization -- References -- Index
Summary "Superconductivity Superconductivity is among the most exciting of quantum phenomena in condensed matter physics, and has important applications across science and technology, from fusion reactors to particle accelerators. This self-contained text provides a comprehensive account of the physical foundations of superconductivity and related recent developments in the field. Beginning with a detailed description of the BCS theory of superconductivity, the book then describes the subsequent successes of this landmark theory and proceeds to more advanced topics such as Josephson effects and vortices. The strong coupling theory of superconductivity is introduced in later chapters, providing a springboard to important current research on hydride superconductors, which have displayed very high critical temperatures. Recent manifestations of superfluidity in ultracold atoms physics are also described. This book will give readers a solid grounding in the theory and applications of superconductivity, and an appreciation of its broader importance in the field of modern condensed matter physics"-- Provided by publisher
Bibliography Includes bibliographical references and index
Notes Print version record
Subject Superconductivity.
SCIENCE -- Physics -- General.
Superconductivity
Form Electronic book
ISBN 9781108611251
1108611257