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High-temperature superconductivity has transformed the landscape of solid state science, leading to the discovery of new classes of materials, states of matter, and concepts. However, despite being over a quarter of a century since its discovery, there is still no single accepted theory to explain its origin. This book presents one approach, the strong-coupling or bipolaron theory, which proposes that high-temperature superconductivity originates from competing Coulomb and electron-phonon interactions. The author provides a thorough overview of the theory, describing numerous experimental observations, and giving detailed mathematical derivations of key theoretical findings at an accessible level. Applications of the theory to existing high-temperature superconductors are discussed, as well as possibilities of liquid superconductors and higher critical temperatures. Alternative theories are also examined to provide a balanced and informative perspective. This monograph will appeal to advanced researchers and academics in the fields of condensed matter physics and quantum-field theories.

High temperature superconductors. --- Materials at low temperatures --- Superconductors --- High temperature superconductivity. --- Coupling constants. --- Particles (Nuclear physics) --- High critical temperature superconductivity --- High Tc superconductivity --- Superconductivity

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While basic features of polarons were well recognized a long time ago and have been described in a number of review papers and textbooks, interest in the role of electron-phonon interactions and polaron dynamics in contemporary materials has recently gone through a vigorous revival. Electron-phonon interactions have been shown to be relevant in high-temperature superconductors and colossal magnetoresistance oxides, and transport through nanowires and quantum dots also often depends on vibronic displacements of ions. The continued interest in polarons extends beyond physical description of advanced materials. The field has been a testing ground for analytical, semi-analytical, and numerical techniques, such as path integrals, strong-coupling perturbation expansion, advanced variational, exact diagonalization, density-matrix renormalization group, dynamic mean-field, and quantum Monte Carlo techniques. Single and multi-polaron theories have offered a new insight in our understanding of high-temperature superconductivity, colossal magnetoresistance, and the correlated transport through molecular quantum dots. This book reviews some recent developments in the field of polarons, starting with the basics and covering a number of active directions of research.

Polarons. --- Solid state physics. --- Polarons --- Solid state physics --- Atomic Physics --- Physics --- Physical Sciences & Mathematics --- Quasiparticles (Physics) --- Elementary excitations --- Excitations, Elementary --- Quasi particles (Physics) --- Magnetic polarons --- Physics. --- Optics. --- Electrodynamics. --- Condensed matter. --- Superconductivity. --- Superconductors. --- Spectroscopy. --- Microscopy. --- Electronics. --- Microelectronics. --- Condensed Matter Physics. --- Optics and Electrodynamics. --- Electronics and Microelectronics, Instrumentation. --- Solid State Physics. --- Spectroscopy and Microscopy. --- Strongly Correlated Systems, Superconductivity. --- Particles (Nuclear physics) --- Quantum theory --- Electrons --- Energy-band theory of solids --- Classical Electrodynamics. --- Electrical engineering --- Physical sciences --- Superconducting materials --- Superconductive devices --- Cryoelectronics --- Electronics --- Solid state electronics --- Electric conductivity --- Critical currents --- Superfluidity --- Analysis, Microscopic --- Light microscopy --- Micrographic analysis --- Microscope and microscopy --- Microscopic analysis --- Optical microscopy --- Optics --- Analysis, Spectrum --- Spectra --- Spectrochemical analysis --- Spectrochemistry --- Spectrometry --- Spectroscopy --- Chemistry, Analytic --- Interferometry --- Radiation --- Wave-motion, Theory of --- Absorption spectra --- Light --- Spectroscope --- Solids --- Microminiature electronic equipment --- Microminiaturization (Electronics) --- Microtechnology --- Semiconductors --- Miniature electronic equipment --- Dynamics --- Condensed materials --- Condensed media --- Condensed phase --- Materials, Condensed --- Media, Condensed --- Phase, Condensed --- Liquids --- Matter --- Materials --- Qualitative --- Analytical chemistry

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Polarons in Advanced Materials will lead the reader from single-polaron problems to multi-polaron systems and finally to a description of many interesting phenomena in high-temperature superconductors, ferromagnetic oxides, conducting polymers and molecular nanowires. The book divides naturally into four parts. Part I introduces a single polaron and describes recent achievements in analytical and numerical studies of polaron properties in different electron-phonon models. Part II and Part III describe multi-polaron physics, and Part IV describes many key physical properties of high-temperature superconductors, colossal magnetoresistance oxides, conducting polymers and molecular nanowires, which were understood with polarons and bipolarons. The book is written in the form of self-consistent reviews authored by well-established researchers actively working in the field and will benefit scientists and postgraduate students with a background in condensed matter physics and materials sciences.

Solid state physics --- Materials sciences --- materiaalkennis --- fysica

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With the discovery of high-temperature superconductors, research into polarons and bipolarons has attracted much attention. This book is the first standard reference to give a comprehensive view of the polaron and bipolaron theory of high-temperature superconductivity, one of the most significant discoveries in physics in the past decade. Scientists have also observed polarons and bipolarons in magnetic semiconductors and transition metal oxides. The thorough investigation of these nonsuperconducting materials has contributed greatly to our basic understanding of the physical properties of both polarons and bipolarons. This book contains a series of authoritative articles on the most advanced research on polarons and bipolarons in high-temperature superconductors and related materials. This book will be of great interest to researchers in condensed matter physics, and especially those working in the field of superconductivity.

High temperature superconductors. --- Polarons. --- Supraconducteurs à hautes températures. --- Electronics and optics of solids --- Supraconducteurs à hautes températures.