Unparticles and anomalous dimensions in the cuprates

Karch, Andreas; Limtragool, Kridsanaphong; Phillips, Philip

doi:10.1007/jhep03(2016)175

Cited by 23 publications

(24 citation statements)

References 40 publications

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“…in our conventions where [r] = −1. This result is consistent with interpreting T as an inverse time, where [t] = −z in line with the scaling transformation (14). The entropy density s and charge density ρ (for the nonzero density states) can be calculated from the area of the horizon and the electric flux emitted by the horizon, and are given by…”

Section: Ir Scaling Of Thermodynamic Observablessupporting

confidence: 82%

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states

2019

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We study thermodynamic and transport observables of quantum critical states that arise in the infra-red limit of holographic renormalisation group flows. Although these observables are expected to exhibit quantum critical scaling, there are a number of cases in which their frequency and temperature dependences are in apparent contradiction with scaling theories. We study two different classes of examples, and show in both cases that the apparent breakdown of scaling is a consequence of the dependence of observables on an irrelevant deformation of the quantum critical state. By assigning scaling dimensions to the near-horizon observables, we formulate improved scaling theories that are completely consistent with all explicit holographic results once the dependence on the dangerously irrelevant coupling is properly accounted for. In addition to governing thermodynamic and transport phenomena in these states, we show that the dangerously irrelevant coupling also controls late-time equilibration, which occurs at a rate parametrically slower than the temperature 1/τ eq T . At very late times, transport is diffusion-dominated, with a diffusivity that can be written simply in terms of τ eq and the butterfly velocity, D ∼ v 2 B τ eq . We conjecture that in such cases there exists a long-lived, propagating collective mode with velocity v s , and in this case the relation D = v 2 s τ eq holds exactly in the limit τ eq T

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Section: Ir Scaling Of Thermodynamic Observablessupporting

confidence: 82%

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states

2019

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“…See e.g. [21] for field theory realizations of this and [22] for a proposal of its relevance for cuprate superconductors. The parameters θ and α were found in holography in [23,24] and [25,26], respectively.…”

Section: Hyperscaling Violation and Charge Anomalous Dimensionmentioning

confidence: 99%

Perfect fluids

et al. 2018

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We present a systematic treatment of perfect fluids with translation and rotation symmetry, which is also applicable in the absence of any type of boost symmetry. It involves introducing a fluid variable, the kinetic mass density, which is needed to define the most general energy-momentum tensor for perfect fluids. Our analysis leads to corrections to the Euler equations for perfect fluids that might be observable in hydrodynamic fluid experiments. We also derive new expressions for the speed of sound in perfect fluids that reduce to the known perfect fluid models when boost symmetry is present. Our framework can also be adapted to (non-relativistic) scale invariant fluids with critical exponent z. We show that perfect fluids cannot have Schrödinger symmetry unless z = 2. For generic values of z there can be fluids with Lifshitz symmetry, and as a concrete example, we work out in detail the thermodynamics and fluid description of an ideal gas of Lifshitz particles and compute the speed of sound for the classical and quantum Lifshitz gases.

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“…Keeping an open attitude, we illustrate weak and strong points of the approach. arXiv:1603.03029v2 [hep-th] 10 Jun 2016 C.3 Irrelevant charge density, marginally relevant magnetic field 25 C.4 Marginally relevant charge density, irrelevant magnetic field 25 C.5 Irrelevant charge density and magnetic field 26 D Temperature scaling of the Seebeck coefficient 26 D.1 Charged solutions 26 D.2 Neutral solutions 27 3 See also [20, 21, 23, 25-27, 36-39, 62, 63, 81] for previous analyses about transport properties of holographic systems with Lifshitz and hyperscaling violating geometries.4 One direct way of producing an anomalous dimension for the gauge field is provided by the unparticles models [73]. See also [74] for an alternative approach.5 The method is clarified in the following sections and builds on the techniques described in [3].…”

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confidence: 99%

Chasing the cuprates with dilatonic dyons

Amoretti

Baggioli

Magnoli

et al. 2016

J. High Energ. Phys.

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Magnetic field and momentum dissipation are key ingredients in describing condensed matter systems. We include them in gauge/gravity and systematically explore the bottom-up panorama of holographic IR effective field theories based on bulk EinsteinMaxwell Lagrangians plus scalars. The class of solutions here examined appears insufficient to capture the phenomenology of charge transport in the cuprates. We analyze in particular the temperature scaling of the resistivity and of the Hall angle. Keeping an open attitude, we illustrate weak and strong points of the approach.

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Unparticles and anomalous dimensions in the cuprates

Cited by 23 publications

References 40 publications

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states

Perfect fluids

Chasing the cuprates with dilatonic dyons

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