Holographic Duality in Condensed Matter Physics

Holographic Duality in Condensed Matter Physics

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Jan Zaanen, Yan Liu, Ya-Wen Sun, Koenraad Schalm
Cambridge University Press, 11/5/2015
EAN 9781107080089, ISBN10: 1107080088

Hardcover, 583 pages, 25.4 x 17.7 x 3 cm
Language: English

A pioneering treatise presenting how the new mathematical techniques of holographic duality unify seemingly unrelated fields of physics. This innovative development morphs quantum field theory, general relativity and the renormalisation group into a single computational framework and this book is the first to bring together a wide range of research in this rapidly developing field. Set within the context of condensed matter physics and using boxes highlighting the specific techniques required, it examines the holographic description of thermal properties of matter, Fermi liquids and superconductors, and hitherto unknown forms of macroscopically entangled quantum matter in terms of general relativity, stars and black holes. Showing that holographic duality can succeed where classic mathematical approaches fail, this text provides a thorough overview of this major breakthrough at the heart of modern physics. The inclusion of extensive introductory material using non-technical language and online Mathematica notebooks ensures the appeal to students and researchers alike.

1. Introduction
2. Condensed matter
the charted territory
3. Condensed matter
the challenges
4. Large N field theories for holography and condensed matter
5. The AdS/CFT correspondence as computational device
the dictionary
6. Finite temperature magic
black holes and holographic thermodynamics
7. Holographic hydrodynamics
8. Finite density
the Reissner–Nordström black hole and strange metals
9. Holographic photoemission and the RN metal
the fermions as probes
10. Holographic superconductivity
11. Holographic Fermi liquids
12. Breaking translational invariance
13. AdS/CMT from the top down
14. Outlook
holography and quantum matter