Statistical Physics part 2 - quantum theory (Book)

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Statistical Physics Part 2
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Information
Author Lev Landau
Language English
Series Course of Theoretical Physics
Publisher Butterworth-Heinemann
Publication Date 1980
Pages 387
ISBN-13 978-0-75-062636-1

Quantum statistical physics is fundamental in the description of superfluid Helium, metals and ordinary conductivity, superconductivity, and other quantum phenomena of matter. One of the initiators of the field was Landau himself, many famous models are named after him. Carrying this on, Philip Anderson coined the name "condensed matter physics" and developed the technique of symmetry breaking and Anderson localization. Anderson's symmetry breaking and the resulting Goldstone-Bosons originated here, despite the fame of the Higgs mechanism in the Electroweak theory that explains how many fundamental particles appear to gain mass.

As such, it has already shown to be an important proving grounds both experimentally and theoretically for methods in quantum field theory, and this continues to be the case. Modern problems focus on the engineering of artificial atoms (Quantum Dots), the theory of superconductivity for high critical temperatures (this is not explained by the usual low Tc theory), the Integer and Fractional Quantum Hall Effects; From those come emergent gauge fields, Chern-Simons theory, Topological Quantum Computing, Anyons, the Twisted-Equivariant cohomology classification of topological phases (Kitaev, Freed), and applications of AdS/CFT. Condensed matter, due to this and the immense wealth produced by the development of semiconductors and modern computing devices, is the largest and most active area of physics today.

Applications

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The Theory of Superconductivity in the High Tc-Cuprates

The Theory of Superconductivity in the High Tc-Cuprates by Philip Anderson.

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Quantum Phases of Matter

Quantum Phases of Matter by Subir Sachdev.

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Holographic Quantum Matter

Holographic Quantum Matter by Sean Hartnoll, Andrew Lucas, and Subir Sachdev.