Bosonic excitations of the AdS 4 Reissner-Nordstrom black hole

Davison, Richard A.; Kaplis, N.

doi:10.1007/jhep12(2011)037

Cited by 37 publications

(74 citation statements)

References 92 publications

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“…The opposite limit, T → 0, recovers the zero temperature Green's functions of [30]. The finite temperature Green's functions have recently been studied numerically in [35].…”

Section: Momentum Relaxation Rate Due To Umklapp Scatteringmentioning

confidence: 97%

Locally Critical Resistivities from Umklapp Scattering

2012

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Efficient momentum relaxation through umklapp scattering, leading to a power law in temperature d.c. resistivity, requires a significant low energy spectral weight at finite momentum. One way to achieve this is via a Fermi surface structure, leading to the well-known relaxation rate Γ ∼ T 2 . We observe that local criticality, in which energies scale but momenta do not, provides a distinct route to efficient umklapp scattering. We show that umklapp scattering by an ionic lattice in a locally critical theory leads toHere ∆ k L ≥ 0 is the dimension of the (irrelevant or marginal) charge density operator J t (ω, k L ) in the locally critical theory, at the lattice momentum k L . We illustrate this result with an explicit computation in locally critical theories described holographically via Einstein-Maxwell theory in Anti-de Sitter spacetime. We furthermore show that scattering by random impurities in these locally critical theories gives a universal Γ ∼ log 1 T −1 .

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“…The opposite limit, T → 0, recovers the zero temperature Green's functions of [30]. The finite temperature Green's functions have recently been studied numerically in [35].…”

Section: Momentum Relaxation Rate Due To Umklapp Scatteringmentioning

confidence: 97%

Locally Critical Resistivities from Umklapp Scattering

2012

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“…Conventional holography does not take into account the (external) electromagnetic force in the boundary but we learned already in the previous section how to deal with that (see also next section). Similar to the neutral Fermi liquid, the finite density translationally invariant holographic strange metals are invariably characterized by a zero sound mode [33][34][35] [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55]. This fact was originally part of the motivation to identify these holographic models as strange metals.…”

Section: Computing the Density Response In Holographic Strange Mmentioning

confidence: 99%

Anomalous attenuation of plasmons in strange metals and holography

et al. 2019

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The plasmon is a ubiquitous collective mode in charged liquids. Due to the long-range Coulomb interaction, the massless zero sound mode of the neutral system acquires a finite plasmon frequency in the long-wavelength limit. In the zero-temperature state of conventional metals -the Fermi liquid -the plasmon lives infinitely long at long wavelength when the system is (effectively) translationally invariant. In contrast, we will show that in strongly entangled strange metals the protection of zero sound fails at finite frequency and plasmons are always short lived regardless of their wavelength. Computing the explicit plasmon response in holographic strange metals as an example, we show that decay into the quantum critical continuum replaces Landau damping and this happens for any wavelength.

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“…The naming and the identification are clearly a stretch, because the presence of a Fermi surface in these systems is far from obvious [37,40,75,76]. Moreover, such sound mode appears also for bosonic holographic systems [77]. Additionally, the label "zero sound" usually refers to zero temperature; here we extend it to finite, but small, temperatures without introducing any further distinction.…”

Section: )mentioning

confidence: 99%

Holographic plasmon relaxation with and without broken translations

Baggioli

Gran

Alba

et al. 2019

J. High Energ. Phys.

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We study the dynamics and the relaxation of bulk plasmons in strongly coupled and quantum critical systems using the holographic framework. We analyze the dispersion relation of the plasmonic modes in detail for an illustrative class of holographic bottom-up models. Comparing to a simple hydrodynamic formula, we entangle the complicated interplay between the three least damped modes and shed light on the underlying physical processes. Such as the dependence of the plasma frequency and the effective relaxation time in terms of the electromagnetic coupling, the charge and the temperature of the system. Introducing momentum dissipation, we then identify its additional contribution to the damping. Finally, we consider the spontaneous symmetry breaking (SSB) of translational invariance. As the strength of SSB is increased, we observe a transition between dressed zero sound, the plasmon, and the normal sound controlled by the elastic moduli and the propagation of longitudinal phonons. This crossover is characterized by the disappearance of the plasma frequency gap in the sound mode.

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Bosonic excitations of the AdS 4 Reissner-Nordstrom black hole

Cited by 37 publications

References 92 publications

Locally Critical Resistivities from Umklapp Scattering

Locally Critical Resistivities from Umklapp Scattering

Anomalous attenuation of plasmons in strange metals and holography

Holographic plasmon relaxation with and without broken translations

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