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- W3021525416 abstract "We compute the thermodynamic properties of the Sachdev-Ye-Kitaev (SYK) models of fermions with a conserved fermion number, $mathcal{Q}$. We extend a previously proposed Schwarzian effective action to include a phase field, and this describes the low temperature energy and $mathcal{Q}$ 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-scalar theories on black brane geometries which interpolate from either AdS$_4$ or AdS$_5$ to an AdS$_2times mathbb{R}^2$ or AdS$_2times mathbb{R}^3$ near-horizon geometry. These provide holographic descriptions of non-quasiparticle 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 $mathcal{Q}$-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." @default.
- W3021525416 created "2020-05-13" @default.
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- W3021525416 date "2017-04-18" @default.
- W3021525416 modified "2023-10-18" @default.
- W3021525416 title "Thermoelectric transport in disordered metals without quasiparticles: The Sachdev-Ye-Kitaev models and holography" @default.
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- W3021525416 doi "https://doi.org/10.1103/physrevb.95.155131" @default.
- W3021525416 hasPublicationYear "2017" @default.
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