Holographic duality and the resistivity of strange metals

Davison, Richard A.; Schalm, Koenraad; Zaanen, Jan

doi:10.1103/physrevb.89.245116

Cited by 229 publications

(311 citation statements)

References 65 publications

Supporting

Mentioning

292

Contrasting

Order By: Relevance

“…It is based on the Einstein-Maxwell-Dilaton model so called the Gubser-Rocha model [30]. To include momentum relaxation effect, a graviton mass term breaking translational invariance was added to the action and the linear-T -resistivity was observed in this model [44]. Because the universal bound of the diffusion constant may be related to the linear-T -resistivity it will be interesting to investigate the diffusion constants in this model.…”

Section: Axion-dilaton Modelmentioning

confidence: 99%

Diffusion and butterfly velocity at finite density

Niu

Kim

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We study diffusion and butterfly velocity (v B ) in two holographic models, linear axion and axion-dilaton model, with a momentum relaxation parameter (β) at finite density or chemical potential (µ). Axion-dilaton model is particularly interesting since it shows linear-T -resistivity, which may have something to do with the universal bound of diffusion. At finite density, there are two diffusion constants D ± describing the coupled diffusion of charge and energy. By computing D ± exactly, we find that in the incoherent regime (β/T 1, β/µ 1) D + is identified with the charge diffusion constant (D c ) and D − is identified with the energy diffusion constant (D e ). In the coherent regime, at very small density, D ± are 'maximally' mixed in the sense that D + (D − ) is identified with D e (D c ), which is opposite to the case in the incoherent regime. In the incoherent regime D e ∼ C − v 2 B /k B T where C − = 1/2 or 1 so it is universal independently of β and µ. However, D c ∼ C + v 2 B /k B T where C + = 1 or β 2 /16π 2 T 2 so, in general, C + may not saturate to the lower bound in the incoherent regime, which suggests that the characteristic velocity for charge diffusion may not be the butterfly velocity. We find that the finite density does not affect the diffusion property at zero density in the incoherent regime.

show abstract

Section: Axion-dilaton Modelmentioning

confidence: 99%

Diffusion and butterfly velocity at finite density

Niu

Kim

2017

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…Similarly, we might expect that in the incoherent regime of transport, the shear viscosity η could violate the quantum limit to coherent transport, i.e., η < η q . Recently, a string theory based approach has been proposed to understand incoherent quantum transport in strongly correlated electron systems, especially the strange metal regime of doped cuprates [8][9][10][11][12]. The key idea of this method is to map a strongly coupled conformal field theory (CFT) to weakly coupled gravity in the anti-de Sitter (AdS) space in higher dimension [13].…”

Section: Introductionmentioning

confidence: 99%

Shear viscosity of strongly interacting fermionic quantum fluids

Pakhira

McKenzie

2015

Phys. Rev. B

View full text Add to dashboard Cite

Eighty years ago, Eyring proposed that the shear viscosity of a liquid η has a quantum limit η n where n is the density of the fluid. Using holographic duality and the anti-de Sitter/conformal field theory correspondence in string theory, Kovtun, Son, and Starinets (KSS) conjectured a universal bound η s 4πk B for the ratio between the shear viscosity and the entropy density s. Using dynamical mean-field theory, we calculate the shear viscosity and entropy density for a fermionic fluid described by a single-band Hubbard model at half-filling. Our calculated shear viscosity as a function of temperature is compared with experimental data for liquid 3 He. At low temperature, the shear viscosity is found to be well above the quantum limit and is proportional to the characteristic Fermi liquid 1/T 2 dependence, where T is the temperature. With increasing temperature and interaction strength U , there is significant deviation from the Fermi liquid form. Also, the shear viscosity violates the quantum limit near the crossover from coherent quasiparticle-based transport to incoherent transport (the bad metal regime). Finally, the ratio of the shear viscosity to the entropy density is found to be comparable to the KSS bound for parameters appropriate to liquid 3 He. However, this bound is found to be strongly violated in the bad metal regime for parameters appropriate to lattice electronic systems such as organic charge-transfer salts.

show abstract

“…There is also a broad class of effective models describing dissipative dynamics. An important example in this class is the massive gravity theory of [15][16][17][18][19]. In this theory, the graviton has an explicit mass term in the Lagrangian, and hence the translational invariance is absent.…”

Section: Jhep10(2014)151mentioning

confidence: 99%

“…By means of a Kubo type formula, the conductivity σ(ω) can be expressed in terms of the retarded Green's Function of the current, G R JJ . In this formalism, the real part of σ(ω) is written as, 16) JHEP10 (2014)151 where Im G R JJ is the spectral weight density. Then, the sum rule,…”

Section: Comments On the Sum Rule And Spectral Weight Transfermentioning

confidence: 99%

A simple holographic model of a charged lattice

Aprile

Ishii

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We use holography to compute the conductivity in an inhomogeneous charged scalar background. We work in the probe limit of the four-dimensional Einstein-Maxwell theory coupled to a charged scalar. The background has zero charge density and is constructed by turning on a scalar source deformation with a striped profile. We solve for fluctuations by making use of a Fourier series expansion. This approach turns out to be useful for understanding which couplings become important in our inhomogeneous background. At zero temperature, the conductivity is computed analytically in a small amplitude expansion. At finite temperature, it is computed numerically by truncating the Fourier series to a relevant set of modes. In the real part of the conductivity along the direction of the stripe, we find a Drude-like peak and a delta function with a negative weight. These features are understood from the point of view of spectral weight transfer.

show abstract

Holographic duality and the resistivity of strange metals

Cited by 229 publications

References 65 publications

Diffusion and butterfly velocity at finite density

Diffusion and butterfly velocity at finite density

Shear viscosity of strongly interacting fermionic quantum fluids

A simple holographic model of a charged lattice

Contact Info

Product

Resources

About