Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography

By R. Davison, Wenbo Fu, A. Georges, Yingfei Gu, K. Jensen, S. Sachdev. 2016

423 citations recorded by the source corpus.

We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number Q. We extend a previously proposed Schwarzian effective action to include a phase field, and this describes the low-temperature energy and Q fluctuations. We obtain higher-dimensional generalizations of the SYK models which display disordered metallic states without quasiparticle excitations, and we deduce their thermoelectric transport coefficients. We also examine the corresponding properties of Einstein-Maxwell-axion theories on black brane geometries which interpolate from either AdS4 or AdS5 to an AdS2×R2 or AdS2×R3 near-horizon geometry. These provide holographic descriptions of nonquasiparticle metallic states without momentum conservation. We find a precise match between low-temperature transport and thermodynamics of the SYK and holographic models. In both models, the Seebeck transport coefficient is exactly equal to the Q derivative of the entropy. For the SYK models, quantum chaos, as characterized by the butterfly velocity and the Lyapunov rate, universally determines the thermal diffusivity, but not the charge diffusivity.

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

View Paper: https://www.semanticscholar.org/paper/fd6fcb54ee6c19e3caf703b760e8ac84263c2220

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Citations in the corpus

A quantum hydrodynamical description for scrambling and many-body chaos (2017, methodology): “20) with the Euclidean quadratic action for SYK chains (which has λ = λmax) studied in [20, 33, 34], which has the form”
A theory of reparameterizations for AdS3 gravity (2018, background): “r to (the chiral half of) pure supergravity on AdS 3. Upon reduction, one expects these theories to respectively yield the version of the Schwarzian theory enhanced with global symmetries obtained in [75,76], or the super-Schwarzian theory of [77]. In this Section we consider the coadjoint orbits of”
Three dimensional view of the SYK/AdS duality (2017, positive): “Recently, the Sachdev-Ye-Kitaev (SYK) model [5{12], which arose from Sachdev-Ye model [1{4], has emerged as a useful laboratory to understand the origins of AdS/CFT duality.”
Notes on the complex Sachdev-Ye-Kitaev model (2019, background): “reen function of a massive Dirac fermion at the AdS 2 boundary was computed in Ref. [5,41], and was found to have the same spectral asymmetry as that in Eq. (1.7), also determined by E. Several works [9,3,10{12,8,13{18] have discussed the nature of the theory of AdS 2 horizons, which is applicable t”
Translationally Invariant Non-Fermi-Liquid Metals with Critical Fermi Surfaces: Solvable Models (2018, methodology): “An interesting feature of the (0þ 1)-dimensional SYK model in the large-N limit [47,52,53,137], as well as its higherdimensional generalizations that preserve the SYK form of the interactions [56,57], is that it is also maximally chaotic with λL 1⁄4 2πkBT=ħ.”
The Schwarzian theory — origins (2018, background): “These models have a U(1) internal symmetry, and the resulting infrared two-point correlator has the symmetry [28]:”