Shear modes, criticality and extremal black holes

Edalati, Mohammad; Jottar, Juan I.; Leigh, Robert G.

doi:10.1007/jhep04(2010)075

Cited by 77 publications

(127 citation statements)

References 47 publications

(82 reference statements)

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“…As may be seen from the plot, the branch cut bends to the right for large negative values of Im ω. This behavior is different from the cases studied in [28,29] where the unbroken parity symmetry of the boundary theory forces the branch cut of the retarded correlators to stay on the negative imaginary axis. Indeed, the bending of the branch cut is similar to what was observed in [27] for the retarded correlators of charged scalar operators in the presence of a magnetic field.…”

Section: Quasi-normal Modes and Stabilitycontrasting

confidence: 80%

“…The branch cut seems to be a distinctive feature of the two-point retarded correlators of operators in the zero temperature d-dimensional boundary theory dual to the extremal RN-AdS d+1 background. Indeed, the branch cut was observed explicitly in the correlators of scalar and spinor operators in [8,27] as well as the conserved currents in the shear and sound channels in [28,29]. As we will see below, this branch cut appears in our quasi-normal mode analysis.…”

Section: Quasi-normal Modes and Stabilitymentioning

confidence: 53%

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Dynamical gap and cupratelike physics from holography

et al. 2011

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We study the properties of fermion correlators in a boundary theory dual to the ReissnerNordström AdS d+1 background in the presence of a bulk dipole (Pauli) interaction term with strength p. We show that by simply changing the value of the parameter p we can tune continuously from a Fermi liquid (small p), to a marginal Fermi liquid behavior at a critical value of p, to a generic non-Fermi liquid at intermediate values of p, and finally to a Mott insulator at large values of the bulk Pauli coupling. As all of these phases are seen in the cuprate phase diagram, the holographic model we study has the key elements of the strong coupling physics typified by Mott systems. In addition, we extend our analysis to finite temperature and show that the Mott gap closes. Of particular interest is that it closes when the ratio of the gap to the critical temperature is of the order of ten. This behavior is very much similar to that observed in the classic Mott insulator VO2. We then analyze the non-analyticities of the boundary theory fermion correlators for generic values of frequency and momentum by calculating the quasi-normal modes of the bulk fermions. Not surprisingly, we find no evidence for the dipole interaction inducing an instability in the boundary theory. Finally, we briefly consider the introduction of superconducting condensates, and find that in that case, the fermion gap is driven by scalar-fermion couplings rather than by the Pauli coupling.

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Section: Quasi-normal Modes and Stabilitycontrasting

confidence: 80%

Section: Quasi-normal Modes and Stabilitymentioning

confidence: 53%

Dynamical gap and cupratelike physics from holography

et al. 2011

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“…A study in the strict T = 0 case, similar to the one performed in [44,47,48], would be interesting to study the effects of non-linearities in the extremal case, and in particular in the existence of a branch cut along the imaginary frequency axis in the scalar channel.…”

Section: Jhep04(2014)042mentioning

confidence: 99%

Transport properties of spacetime-filling branes

Tarrío

2014

J. High Energ. Phys.

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A model consisting of (d+1)-dimensional gravity coupled to spacetime filling charged branes is used to study the effects of backreaction. The charged black holes arising from this simple model reflect the non-linearity of the gauge field and are thermodynamically stable. By analysing fluctuations of the system we corroborate that at low values of the temperature (or large chemical potential) backreaction effects from the branes are dominant. We also provide a generalisation of the Iqbal and Liu strategy to calculate the DC conductivity, in which a mass term for the gauge field fluctuation is included. This mass term gives the value of the residue of the pole at zero frequency in the imaginary part of the AC conductivity, as well as the running of the DC conductivity with the bulk radius.

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“…For the free Dirac fermion, the 'vacuum' term is obviously independent of µ, and is irrelevant for the charge density. Setting m = 0 for simplicity and evaluating the remaining 'matter' term we obtain 11) which is the standard result [69]. We now turn to the calculation of the fermion contribution to Q in the toy theory described by eq.…”

Section: Jhep06(2014)046mentioning

confidence: 97%

“…Perhaps the simplest interpretation is that in the Fermi-surface-less examples all of the charge which would normally be stored by the fermions 'leaks out' into the scalars through the Yukawa couplings. 11 In this scenario, when the fermions have no Fermi surface, the charge density would only receive contributions from the scalar fields.…”

Section: Fermion Charge Density Without a Fermi Surfacementioning

confidence: 99%

Searching for Fermi surfaces in super-QED

Cherman

Grozdanov

Hardy

2014

J. High Energ. Phys.

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The exploration of strongly-interacting finite-density states of matter has been a major recent application of gauge-gravity duality. When the theories involved have a known Lagrangian description, they are typically deformations of large N supersymmetric gauge theories, which are unusual from a condensed-matter point of view. In order to better interpret the strong-coupling results from holography, an understanding of the weakcoupling behavior of such gauge theories would be useful for comparison. We take a first step in this direction by studying several simple supersymmetric and non-supersymmetric toy model gauge theories at zero temperature. Our supersymmetric examples are N = 1 super-QED and N = 2 super-QED, with finite densities of electron number and R-charge respectively. Despite the fact that fermionic fields couple to the chemical potentials we introduce, the structure of the interaction terms is such that in both of the supersymmetric cases the fermions do not develop a Fermi surface. One might suspect that all of the charge in such theories would be stored in the scalar condensates, but we show that this is not necessarily the case by giving an example of a theory without a Fermi surface where the fermions still manage to contribute to the charge density.

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Shear modes, criticality and extremal black holes

Cited by 77 publications

References 47 publications

Dynamical gap and cupratelike physics from holography

Dynamical gap and cupratelike physics from holography

Transport properties of spacetime-filling branes

Searching for Fermi surfaces in super-QED

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