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Fermi liquid theory --- Mathematical models --- Congresses --- Hubbard model --- Mathematical physics
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Hubbard model --- Model, Hubbard --- Electronics and optics of solids --- Solid state physics --- Congresses --- Energy-band theory of solids --- Solid state physics - Congresses --- Hubbard model - Congresses
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There have been many recent developments in the physics and materials science of Mott insulators, especially their recognition as emergent materials for important and innovative device applications such as information processing and storage, and the possibilities of even further applications in optical and thermal switches, thermo-chromic devices, gas sensors and even solar cell applications. Aimed at advanced undergraduate students of physics, chemistry, materials science, and electrical and electronics engineering, this book introduces the subject and reviews present knowledge in the field, enabling students and researchers to get acquainted with this very interesting and emerging area of science and technology. Professional researchers in academic institutions and industries already engaged in the programmes of correlated electron materials and devices will also find this title of use.
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The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This 2005 book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more topical results in the field of integrable models.
Hubbard model --- Quantum theory --- Hubbard model. --- Quantum theory. --- Statistical mechanics. --- Mechanics --- Mechanics, Analytic --- Quantum statistics --- Statistical physics --- Thermodynamics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Model, Hubbard --- Energy-band theory of solids
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This book provides the first systematic discourse on a very peculiarapproach to the theory of strongly correlated systems. HubbardX-operators have been known for a long time but have not been widelyused because of their awkward algebra. The book shows that it ispossible to deal with X-operators even in the general multilevel localeigenstate system, and not just in the case of the nondegenerateHubbard model. X-operators provide the natural language for describingquasiparticles in the Hubbard subbands with unusual doping andtemperature-dependent band structures.
Hubbard model. --- Electron configuration --- Configuration, Electron --- Electron correlation --- Atomic orbitals --- Electrons --- Model, Hubbard --- Energy-band theory of solids --- Mathematical models.
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One of the most active areas in atomic, molecular and optical physics is the use of ultracold atomic gases in optical lattices to simulate the behaviour of electrons in condensed matter systems. The larger mass, longer length scale, and tuneable interactions in these systems allow the dynamics of atoms moving in these systems to be followed in real time, and resonant light scattering by the atoms allows this motion to be probed on a microscopic scale using site-resolved imaging. This book reviews the physics of Hubbard-type models for both bosons and fermions in an optical lattice, which give rise to a rich variety of insulating and conducting phases depending on the lattice properties and interparticle interactions. It also discusses the effect of disorder on the transport of atoms in these models, and the recently discovered phenomenon of many-body localization. It presents several examples of experiments using both density and momentum imaging and quantum gas microscopy to study the motion of atoms in optical lattices. These illustrate the power and flexibility of ultracold-lattice analogues for exploring exotic states of matter at an unprecedented level of precision.
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Presenting the physics of the most challenging problems in condensed matter using the conceptual framework of quantum field theory, this book is of great interest to physicists in condensed matter and high energy and string theorists, as well as mathematicians. Revised and updated, this second edition features new chapters on the renormalization group, the Luttinger liquid, gauge theory, topological fluids, topological insulators and quantum entanglement. The book begins with the basic concepts and tools, developing them gradually to bring readers to the issues currently faced at the frontiers of research, such as topological phases of matter, quantum and classical critical phenomena, quantum Hall effects and superconductors. Other topics covered include one-dimensional strongly correlated systems, quantum ordered and disordered phases, topological structures in condensed matter and in field theory and fractional statistics.
High temperature superconductivity --- Hubbard model --- Antiferromagnetism --- Supraconductivité à hautes températures --- Hubbard, Modèle de --- High temperature superconductivity. --- Hubbard model. --- Antiferromagnetism. --- Supraconductivité à hautes températures --- Hubbard, Modèle de --- Ferromagnetism --- Model, Hubbard --- Energy-band theory of solids --- High critical temperature superconductivity --- High Tc superconductivity --- Superconductivity
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Antiferromagnetism --- Antiferromagnetisme --- Haute température [Superconductivité à ] --- High Tc superconductivity --- High critical temperature superconductivity --- High temperature superconductivity --- Hoge temperatuur superconductiviteit --- Hubbard model --- Modèle d'Hubbard --- Superconductiviteit [Hoge temperatuur ] --- Superconductivité à haute température --- Temperatuur superconductiviteit [Hoge ] --- Température [Superconductivité à haute ] --- antiferromagnétisme --- 538.94 --- 530.19 --- Model, Hubbard --- Energy-band theory of solids --- Superconductivity --- Ferromagnetism --- Quantum liquids and solids --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- Antiferromagnetism. --- High temperature superconductivity. --- Hubbard model. --- 530.19 Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc. --- 538.94 Quantum liquids and solids --- Fundamental functions in general. Potential. Gradient. Intensity. Capacity etc
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