What Can Gauge-Gravity Duality Teach Us about Condensed Matter Physics?
By S. Sachdev. 2011
269 citations recorded by the source corpus.
I discuss the impact of gauge-gravity duality on our understanding of two classes of systems: conformal quantum matter and compressible quantum matter. The first conformal class includes systems, such as the boson Hubbard model in two spatial dimensions, which display quantum critical points described by conformal field theories. Questions associated with non-zero temperature dynamics and transport are difficult to answer using conventional field theoretic methods. I argue that many of these can be addressed systematically using gauge-gravity duality, and discuss the prospects for reliable computation of low frequency correlations. Compressible quantum matter is characterized by the smooth dependence of the charge density, associated with a global U(1) symmetry, upon a chemical potential. Familiar examples are solids, superfluids, and Fermi liquids, but there are more exotic possibilities involving deconfined phases of gauge fields in the presence of Fermi surfaces. I survey the compressible systems studied using gauge-gravity duality, and discuss their relationship to the condensed matter classification of such states. The gravity methods offer hope of a deeper understanding of exotic and strongly-coupled compressible quantum states.
Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/af374e950804671fec70a2b1fe73e54825ae8956
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Citations in the corpus
- Introduction to holographic superconductor models (2015, unknown): “[54, 55, 56, 57, 58, 59] for more details.”
- Holographic Fermi surfaces and entanglement entropy (2011, background): “The same is also true for the IR gapped models [12].”
- Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “[37], the globally conserved U(1) charge of the compressible state is holographically realized by a U(1) gauge field A μ .”
- Lifshitz holography (2015, background): “The reviews [166, 167] include various applications of non-relativistic holography to condensed matter physics.”
- Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, background): “where Lξ[1] and Lξ[2] denote the Lie derivative along ξ a [1] and ξ a [2], respectively.”