Holographic non-Fermi liquid fixed points
Jan, 2011
28 pages
Published in:
- Phil.Trans.Roy.Soc. A 369 (2011) 1640
e-Print:
- 1101.0597 [hep-th]
Report number:
- MIT-CTP-4204
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Citations per year
Abstract: (arXiv)
Techniques arising from string theory can be used to study assemblies of strongly-interacting fermions. Via this `holographic duality', various strongly-coupled many body systems are solved using an auxiliary theory of gravity. Simple holographic realizations of finite density exhibit single-particle spectral functions with sharp Fermi surfaces, of a form distinct from those of the Landau theory. The self-energy is given by a correlation function in an infrared fixed point theory which is represented by an AdS_2 region in the dual gravitational description. Here we describe in detail the gravity calculation of this IR correlation function. This article is a contribution to a special issue of Phil. Trans. A on the normal state of the cuprates; as such, we also provide some review and context.Note:
- 28 pages, many figures
- gravitation: duality
- duality: holography
- fixed point: infrared
- spectral representation
- many-body problem
- anti-de Sitter
- field theory: conformal
- field theory: spinor
- superconductivity: holography
- quasiparticle: decay
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