Impure AdS/CFT correspondence

By S. Hartnoll, Christopher P. Herzog. 2008

166 citations recorded by the source corpus.

We study momentum relaxation due to dilute, weak impurities in a strongly coupled CFT, a truncation of the M2 brane theory. Using the AdS/CFT correspondence, we compute the relaxation time scale as a function of the background magnetic field B and charge density {rho}. The theory admits two different types of impurities. We find that for magnetic impurities, momentum relaxation due to the impurity is suppressed by a background B or {rho}. For electric impurities, due to an underlying instability in the theory toward an ordered phase, the inverse relaxation time scale increases dramatically near {radical}(B{sup 2}+{rho}{sup 2}/{sigma}{sub 0}{sup 2}){approx}21T{sup 2}. We compute the Nernst response for the impure theory, and comment on similarities with recent measurements in superconductors.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f90d36a033afe725932e68fd3e773adfb720c1a8

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Citations in the corpus

Phase transitions between Reissner-Nordstrom and dilatonic black holes in 4D AdS spacetime (2009, background): “A similar instability was also found in [ 20 ] analysing scalar fluctuations around a dyonic black hole in order to compute the momentum relaxation time scale induced by the presence of impurities.”
Pseudogap and time reversal breaking in a holographic superconductor (2008, methodology): “These recent works are part of a wider program of applying the AdS/CFT correspondence to condensed matter systems [11, 12, 13, 14 , 15, 16].”
Theory of universal incoherent metallic transport (2014, background): “Previous works had emphasized the need to focus on momentum relaxation in strongly interacting metals [18, 9, 19, 16].”
Holographic metals and insulators with helical symmetry (2014, background): “More generally, at finite density, it can be interpreted as a contribution from the quantum critical sector, [15, 16].”
Breaking an Abelian gauge symmetry near a black hole horizon (2008, background): “work including [3, 4, 5, 6 ] has suggested the possibility that charged black holes in four-”
Charge transport in holography with momentum dissipation (2014, background): “Other, more involved options are to break translation invariance, either by impurities [6], by relaxing bulk diffeomorphism invariance [7, 8, 9], or by turning on spatially-dependent sources [10, 11, 12, 13].”
The thermoelectric properties of inhomogeneous holographic lattices (2014, unknown): “[48–54].”