Holographic Fermi surfaces and entanglement entropy

By Noriaki Ogawa, T. Takayanagi, Tomonori Ugajin. 2011

314 citations recorded by the source corpus.

A bstractWe argue that Landau-Fermi liquids do not have any gravity duals in the purely classical limit. We employ the logarithmic behavior of entanglement entropy to characterize the existence of Fermi surfaces. By imposing the null energy condition, we show that the specific heat always behaves anomalously. We also present a classical gravity dual which has the expected behavior of the entanglement entropy and specific heat for non-Fermi liquids.

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

View Paper: https://www.semanticscholar.org/paper/a11a3dfe02bd09f532c0f3fbc51a8a449ef94a59

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Citations in the corpus

Holography, Entanglement Entropy, and Conformal Field Theories with Boundaries or Defects (2013, background): “den” Fermi surfaces that are otherwise difficult to detect [48, 49], such as quark Fermi surfaces, which have no obvious gauge-invariant definition.”
Lifshitz scaling and hyperscaling violation in string theory (2012, background): “The AdS5 null normalizable deformation (9) corresponds to d = 2, z = 3, θ = 1, lying in the family θ = d − 1, which has been argued [28, 29] to be a gravitational dual of a theory with hidden Fermi surfaces.”
Charged black branes with hyperscaling violating factor (2012, background): “This is in fact a signature that the dual theory has an O(N(2)) Fermi surface which can be probed by the enanglement entropy [24,32].”
Entanglement entropy from a holographic viewpoint (2012, methodology): “For example, the HEE is employed to search gravity duals with Fermi surfaces [178, 179, 180, 181, 182, 183].”
Quantum corrections to holographic entanglement entropy (2013, background): “This should be contrasted with [48] where the logarithmic violations to the entanglement entropy where found from the leading geometric term.”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, unknown): “Lifshitz geometries [3, 4, 5] together with hyperscaling violating geometries [6, 7, 8] as well as more general Bianchi type space-times [9] have occurred as effective IR geometries that could furnish as a groundstate geometry of some CM system.”
Holographic Quantum Matter (2016, background): “In particular, building on [582], they showed that this is the case in holographic models.”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, background): “9) are realized as equalities [40] only for gauge theories of non-Fermi liquid states in d = 2, which have the exponents ✓ = 1, z = 3/2 in analyses to three loops [53, 64].”
Entanglement entropy: Holography and renormalization group (2018, background): “For instance, (non-relativistic) systems with Fermi surfaces have the entanglement entropy that violates the area law logarithmically (Gioev and Klich, 2006; Wolf, 2006) (see also (Huijse et al., 2012; Ogawa et al., 2012) for the holographic descriptions).”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, background): “However, a numerical solution was presented recently with 0 < θ < 2, [46], which interpolates to AdS UV boundary conditions before the curvature invariants can diverge.”
Aspects of holography for theories with hyperscaling violation (2012, methodology): “1) is conformally equivalent to a Lifshitz geometry, as can be seen after a Weyl rescaling (5)For instance, in models with a Fermi surface, rF is set by the Fermi momentum [19].”