Holographic Duality in Condensed Matter Physics

A pioneering treatise presenting how the mathematical techniques of holographic duality can unify the fundamental theories of physics.

Jan Zaanen (Author), Yan Liu (Author), Ya-Wen Sun (Author), Koenraad Schalm (Author)

9781107080089, Cambridge University Press

Hardback, published 5 November 2015

583 pages, 79 b/w illus. 4 tables
25.4 x 17.7 x 3 cm, 1.27 kg

'… this very readable book prepares theory graduate students and researchers to address the challenging problems posed by numerous experiments on modern quantum materials. The authors strike an excellent balance between extensive discussions of deep theoretical ideas and providing toolboxes for explicit computations.' Subir Sachdev, Harvard University, Massachusetts

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.

Preface
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
References
Index.

Subject Areas: Particle & high-energy physics [PHP], Nuclear physics [PHN], Condensed matter physics [liquid state & solid state physics PHFC], Physics [PH], Mathematics & science [P]