Hidden Fermi surfaces in compressible states of gauge-gravity duality

By L. Huijse, S. Sachdev, Brian Swingle. 2011

467 citations recorded by the source corpus.

General scaling arguments, and the behavior of the thermal entropy density, are shown to lead to an infrared metric holographically representing a compressible state with hidden Fermi surfaces. This metric is characterized by a general dynamic critical exponent, z, and a specic hyperscaling violation exponent, . The same metric exhibits a logarithmic violation of the area law of entanglement entropy, as shown recently by Ogawa et al. (arXiv:1111.1023). We study the dependence of the entanglement entropy on the shape of the entangling region(s), on the total charge density, on temperature, and on the presence of additional visible Fermi surfaces of gauge-neutral fermions; for the latter computations, we realize the needed metric in an Einstein-Maxwell-dilaton theory. All our results support the proposal that the holographic theory describes a metallic state with hidden Fermi surfaces of fermions carrying gauge charges of deconned gauge elds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1a7d4f1f00a39aa130b4ed1fac5592cd85145c29

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Warped Conformal Field Theory (2012, background): “Interesting cases studied recently in connection with condensed matter applications are Lifshitz geometries [26, 27] and hyperscaling violating geometries [28].”
Entanglement entropy from a holographic viewpoint (2012, methodology): “For example, the HEE is employed to search gravity duals with Fermi surfaces [178–183].”
Quantum critical lines in holographic phases with (un)broken symmetry (2012, methodology): “12), [6]: γ = 3δ ⇒ θ = 1, z = 3δ 2 + 1 2δ2 .”
Charge transport in holography with momentum dissipation (2014, background): “In this series of works, it was argued that the most generic parameterization of translation and rotation invariant extremal phases with a conserved electric flux could be achieved by specifying three scaling exponents:2 a dynamical exponent z measuring the anistropy between time and space; a hypers”
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.”
Holographic metals and insulators with helical symmetry (2014, background): “are only possible in cases where the action parameters , 1;2 are tuned to specic values. { 9 { and parameterize the scale covariance of the metric and A 1 under (1.9), and are respectively metric [12, 56] and vector hyperscaling violating exponents [57, 58].10 They are also related to the scaling of”
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.”
Novel metals and insulators from holography (2014, background): “This is like an anisotropic version of the solutions dual to hyperscaling violation in [40, 44, 45].”
Universal diffusion in incoherent black holes (2016, background): “They correspond to the well-studied class of metrics known as hyperscaling violating geometries [27–32].”
Introduction to holographic superconductor models (2015, background): “From a modern perspective, the correspondence is an equality between a quantum field theory (QFT) in d dimensional spacetime and a (4)The simple examples are Lifshitz symmetry [33] and Schrödinger symmetry [34, 35], while more generic cases are those with generalized Lifshitz invariance and hypersca”
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).”
Holographic Quantum Matter (2016, methodology): “It turns out that ρ is constant to leading order in this limit [404], and so the scaling of the integral is determined the measure dr/rd−θ.”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, background): “If we put k = 0 the solution is a θ = −1 and z = 1 hyperscaling violating space-time where θ is defined as in [7].”
Aspects of holography for theories with hyperscaling violation (2012, background): “3) These exhibit both a dynamical critical exponent z and a “hyperscaling violation” exponent θ [24], as emphasized in [20].”