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Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory.

Statistical physics --- Phase transformations (Statistical physics) --- Quantum theory --- Quantum theory. --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Phase changes (Statistical physics) --- Phase transitions (Statistical physics) --- Phase rule and equilibrium --- Transitions de phases --- Théorie quantique --- Théorie quantique

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Statistical physics --- Mechanical properties of solids --- Phase transformations (Statistical physics) --- Critical phenomena (Physics) --- Transformations de phase (Physique statistique) --- Phénomène critique (Physique) --- Critical phenomena --- Phase transitions --- Thermodynamics

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Experimental solid state physics --- Electronics and optics of solids --- Ion implantation --- Congresses --- 538.91 --- -538.97 --- Implantation, Ion --- Ion bombardment --- Ion plating --- Structures, including transitions --- Special geometry and interaction with particles and radiation --- Congresses. --- 538.97 Special geometry and interaction with particles and radiation --- 538.91 Structures, including transitions --- 538.97

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Mechanical properties of solids --- 548.24 --- Metals --- -538.91 <063> --- Metallic elements --- Chemical elements --- Ores --- Metallurgy --- Twins. Multiples. Crystal complexes --- Defects --- -Congresses --- Structures, including transitions--Congressen --- Congresses. --- 538.91 <063> Structures, including transitions--Congressen --- 548.24 Twins. Multiples. Crystal complexes --- 538.91 <063> --- Defects&delete& --- Congresses --- Métaux --- Métaux --- Diffusion

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Materials sciences --- Solid state physics --- 538.91 --- Structures, including transitions --- 538.91 Structures, including transitions --- GLASSES --- RADIOACTIVE WASTES --- MATERIALS --- DISPOSAL --- Report --- Monograph --- Radioactive wastes. --- Materials. --- Engineering --- Engineering materials --- Industrial materials --- Engineering design --- Manufacturing processes --- Nuclear wastes --- Radwastes --- Wastes, Nuclear --- Wastes, Radioactive --- Hazardous wastes --- Nuclear engineering --- Radioactive substances --- Materials --- Glass. --- Amorphous materials