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

TL;DR

This paper explores the idea that strange metals in high-temperature superconductors exhibit universal quantum behaviors linked to minimal viscosity and fast hydrodynamization, proposing experimental tests based on recent theoretical insights from condensed matter and high-energy physics.

Contribution

It introduces a theoretical framework connecting strange metal transport properties to principles of quantum entanglement, minimal viscosity, and hydrodynamics, inspired by black hole physics and quark-gluon plasma studies.

Findings

Linear resistivity linked to entropy and viscosity.

Predictions of near-zero viscosity leading to turbulent electron flows.

Experimental strategies to test quantum hydrodynamics in 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.