Effective holographic theories for low-temperature condensed matter systems

By C. Charmousis, Blaise Goutéraux, Bom Soo Kim, E. Kiritsis, R. Meyer. 2010

623 citations recorded by the source corpus.

The IR dynamics of effective holographic theories capturing the interplay between charge density and the leading relevant scalar operator at strong coupling are analyzed. Such theories are parameterized by two real exponents (γ, δ) that control the IR dynamics. By studying the thermodynamics, spectra and conductivities of several classes of charged dilatonic black hole solutions that include the charge density back reaction fully, the landscape of such theories in view of condensed matter applications is characterized. Several regions of the (γ, δ) plane can be excluded as the extremal solutions have unacceptable singularities. The classical solutions have generically zero entropy at zero temperature, except when γ = δ where the entropy at extremality is finite. The general scaling of DC resistivity with temperature at low temperature, and AC conductivity at low frequency and temperature across the whole (γ, δ) plane, is found. There is a codimension-one region where the DC resistivity is linear in the temperature. For massive carriers, it is shown that when the scalar operator is not the dilaton, the DC resistivity scales as the heat capacity (and entropy) for planar (3d) systems. Regions are identified where the theory at finite density is a Mott-like insulator at T = 0. We also find that at low enough temperatures the entropy due to the charge carriers is generically larger than at zero charge density.

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

View Paper: https://www.semanticscholar.org/paper/02167876ba213879f75afb4e65de7274d3fc9c71

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Citations in the corpus

Quantum critical lines in holographic phases with (un)broken symmetry (2012, methodology): “2), which has been analyzed in the past, [1, 5].”
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”
Universal Resistivity from Holographic Massive Gravity (2013, background): “One effect of a runaway dilaton is to ensure that the black hole horizon scales with a power of T at low temperatures (see, for example, [31]).”
Lifshitz scaling and hyperscaling violation in string theory (2012, background): “These are of the general form of the effective actions studied in [20, 21, 22, 23, 24, 25, 26, 27].”
Holographic Quantum Matter (2016, background): “4 above), and then breaking translation invariance in a manner that does not destroy the charge gap [64; 130; 462].”
Boundary stress-energy tensor and Newton-Cartan geometry in Lifshitz holography (2013, background): “Lifshitz geometries [12–14] together with hyperscaling violating geometries [15–19] as well as more general Bianchi type spacetimes [20] have occurred as effective IR geometries that could furnish as a groundstate geometry of some CM system.”
Planckian dissipation, minimal viscosity and the transport in cuprate strange metals (2018, background): “It turns out that the near horizon geometry of such "Einstein-Maxwell-Dilaton" (EMD) black holes can be systematically classified [45].”
Holographic lattice in Einstein-Maxwell-dilaton gravity (2013, background): “A large class of Einstein-Maxwell-dilaton theories with different Maxwell coupling and scalar potential has been constructed and they also possess the same appealing characteristic such as vanishing extremal entropy and linear specific heat at low temperature (see for instance [35–38]).”
Aspects of holography for theories with hyperscaling violation (2012, background): “[10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21] (with very similar metrics also characterizing the “electron stars” studied in e.”
Hidden Fermi surfaces in compressible states of gauge-gravity duality (2011, methodology): “In Section II we will recast the EMD theories [11, 13, 14, 19, 22, 23, 25] in a general context as realizations of the IR metric (1.”
Holographic Fermi surfaces and entanglement entropy (2011, background): “We would like to mention that this system has been extensively studied in [48–50] and some of our solutions, especially our scaling solutions discussed in section 5.”
A holographic critical point (2010, background): “It was shown in [7, 8] that simple gravitational theories in five dimensions are capable of producing black holes which approximately reproduce the equation of state of QCD, including the crossover, at vanishing chemical potential; see also [9, 10, 11, 12, 13] and the review [14].”
Spatially modulated instabilities of magnetic black branes (2011, background): “Particular examples of these models have been considered in the context of AdS/CMT from a different point of view in [28, 29, 30].”
Universal diffusion in incoherent black holes (2016, background): “They correspond to the well-studied class of metrics known as hyperscaling violating geometries [27–32].”
Black holes and black branes in Lifshitz spacetimes (2011, result): “It is an extension of the model considered in [25], and is similar to the models studied in [30, 31].”
Semi-local quantum liquids (2011, background): “Instead, one finds a solution with zero entropy density and Lifshitz-type scaling in the interior (at T = 0) [36–39].”
Holographic Fermi and non-Fermi liquids with transitions in dilaton gravity (2011, methodology): “(10)For comparison purposes the parameters (α, δ) defined in this paper should be related to (γ, δ) in [15] as follows: (α, δ) → (γ,−δ).”