Horizons, holography and condensed matter

By S. Hartnoll. 2011

176 citations recorded by the source corpus.

The holographic correspondence creates an interface between classical gravitational physics and the dynamics of strongly interacting quantum field theories. This chapter will relate the physics of charged, asymptotically Anti-de Sitter spacetimes to the phenomenology of low temperature critical phases of condensed matter. Common essential features will characterise both the gravitational and field theoretic systems. Firstly, an emergent scaling symmetry at the lowest energy scales appears as an emergent isometry in the interior, `near horizon' regime of the spacetime. Secondly, the field theoretic distinction between fractionalized and mesonic phases appears as the presence or absence of a charge-carrying horizon in the spacetime. A perspective grounded in these two characteristics allows a unified presentation of `holographic superconductors', `electron stars' and `charged dilatonic spacetimes'.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/edcd1ffdcce8b10df4aab0177a8c0d2b6cbe8fcf

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Citations in the corpus

What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics? (2011, background): “[11] Sung-Sik Lee, “Low energy effective theory of Fermi surface coupled with U(1) gauge field in”
Generalized holographic quantum criticality at finite density (2011, background): “The latter is unstable to the condensation of the scalar field, which after condensation sources the electric flux on the boundary, [63].”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “Much recent work [1–40] has focused on the holographic description of compressible metallic states of quantum matter.”
Superradiance (2015, methodology): “nitial RN-AdS solution. In a quantum eld theory, such spontaneous symmetry breaking (akin to the Higgs mechanism) is associated to super uidity and the scalar condensate is associated to Cooper pairs [315,19]. This same mechanism is at play in the Abelian Higgs model as was demonstrated in the semin”
Optical conductivity with holographic lattices (2012, background): “Over the past few years, it has been shown that various properties of condensed matter systems can be reproduced using general relativity [1, 2, 3, 4, 5].”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “Fractionalized vs cohesive phases: Another sharp distinction between quantum critical points can be made by exposing the respective contributions of bulk degrees of freedom inside or outside the extremal “horizon” to the boundary charge density, [25, 26].”
Superradiance: Energy Extraction, Black-Hole Bombs and Implications for Astrophysics and Particle Physics (2015, background): “In a quantum field theory, such spontaneous symmetry breaking (akin to the Higgs mechanism) is associated to superfluidity and the scalar condensate is associated to Cooper pairs [312, 19].”
Holographic metals and insulators with helical symmetry (2014, background): “Such techniques and their applications to phenomena at finite density, relevant for condensed matter systems, have been analysed in the last few years and several new concepts have emerged, see [1] for a recent review.”
Bekenstein-Hawking Entropy and Strange Metals (2015, background): “However, many holographic studies [2–4] have focused on experimentally important examples of strongly-coupled quantum matter which are not CFTs.”