Planckian dissipation, minimal viscosity and the transport in cuprate strange metals

Abstract

Could it be that the matter from the electrons in high Tc superconductors is of a radically new kind that may be called "many body entangled compressible quantum matter"? Much of this text is intended as an easy to read tutorial, explaining recent theoretical advances that have been unfolding at the cross roads of condensed matter- and string theory, black hole physics as well as quantum information theory. These developments suggest that the physics of such matter may be governed by surprisingly simple principles. My real objective is to present an experimental strategy to test critically whether these principles are actually at work, revolving around the famous linear resistivity characterizing the strange metal phase. The theory suggests a very simple explanation of this "unreasonably simple" behavior that is actually directly linked to remarkable results from the study of the quark gluon plasma formed at the heavy ion colliders: the "fast hydrodynamization" and the "minimal viscosity". This leads to high quality predictions for experiment: the momentum relaxation rate governing the resistivity relates directly to the electronic entropy, while at low temperatures the electron fluid should become unviscous to a degree that turbulent flows can develop even on the nanometre scale.

23 pages, no figures. Submission to SciPost

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• Giant magnetoresistance of Dirac plasma in high-mobility graphene
• A strange metal in a bosonic system
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• Universal relaxation in a holographic metallic density wave phase
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• Restored strange metal phase through suppression of charge density waves in underdoped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
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• Slow relaxation and diffusion in holographic quantum critical phases
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• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Turbulent hydrodynamics in strongly correlated Kagome metals
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• Quantum Batteries: A Materials Science Perspective
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• Quasi-uniaxial pressure induced superconductivity in stoichiometric compound UTe${}_2$
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• Linear-in-temperature conductance in two-dimensional electron fluids
• Holographic Schwinger-Keldysh effective field theories including a non-hydrodynamic mode
• About two-dimensional fits for the analysis of the scattering rates and renormalization functions from angle-resolved photoelectron spectroscopy data
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• Pseudogap and strange metal states in the square-lattice Hubbard model: A comprehensive study
• Integrable Model of a Superconductor with non-Fermi liquid and Mott Phases
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• Minimal one-dimensional model of bad metal behavior from fast particle-hole scattering
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• Coincidence detection techniques for direct measurement of many-body correlations in strongly correlated electron systems
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• Impurity-Scattering Assisted Umklapp Scattering as the Origin of Low-Temperature Resistivity in the Normal-State of Cuprate Superconductors
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