Planckian Dissipation in Metals

Abstract

We review the appearance of the Planckian time ${\tau }_{\text{Pl}}=\hslash /(k_{B}T)$ in both conventional and unconventional metals. We give a pedagogical discussion of the various different timescales (quasiparticle, transport, many-body) that characterize metals, emphasizing conditions under which these times are the same or different. Throughout, we have attempted to clear up aspects of the problem that had been confusing us, in the hope that this helps the reader as well. We discuss the possibility of a Planckian bound on dissipation from both a quasiparticle and a many-body perspective. Planckian quasiparticles can arise naturally from a combination of inelastic scattering and mass renormalization. Many-body dynamics, on the other hand, is constrained by the basic time- and length- scales of local thermalization.

43 pages + references and appendices. v2: references added and minor improvements to presentation made. v3: further minor improvements to presentation throughout

References in corpus (34)

• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Mott transition in VO2 revealed by infrared spectroscopy and nano-imaging
• Electrodynamics of Correlated Electron Materials
• 200 A GeV Au+Au collisions serve a nearly perfect quark-gluon liquid
• Theory of universal incoherent metallic transport
• Quantum Criticality
• Universal Quantum Viscosity in a Unitary Fermi Gas
• How bad metals turn good: spectroscopic signatures of resilient quasiparticles
• Unified explanation of the Kadowaki-Woods ratio in strongly correlated materials
• Correlated metallic state of vanadium dioxide
• Quantum chaos on a critical Fermi surface
• Thermal diffusivity and chaos in metals without quasiparticles
• The quantum critical point in CeRhIn_5: a resistivity study
• Fermi surface and van Hove singularities in the itinerant metamagnet Sr3Ru2O7
• Snapshots of the retarded interaction of charge carriers with ultrafast fluctuations in cuprates
• An upper bound on transport
• Diffusion and Chaos from near AdS${}_2$ horizons
• Bond stretching phonon softening and angle-resolved photoemission kinks in optimally doped Bi2Sr1.6La0.4Cu2O6 superconductors
• Locality in Quantum Systems
• Shining light on transition metal oxides: unveiling the hidden Fermi Liquid
• Lower bounds for the conductivities of correlated quantum systems
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Non-Fermi liquid transport in the vicinity of nematic quantum critical point of FeSe${}_{1-x}$S${}_x$ superconductor
• Absence of a quantum limit to charge diffusion in bad metals
• Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
• The breakdown of magneto-hydrodynamics near AdS${}_2$ fixed point and energy diffusion bound
• A lower bound to the thermal diffusivity of insulators
• Thermopower across the phase diagram of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ : signatures of the pseudogap and charge-density-wave phases
• Quantum bounds and fluctuation-dissipation relations
• Strongly coupled quantum phonon fluid in a solvable model
• A stability bound on the $T$-linear resistivity of conventional metals
• A counterexample to the conjectured Planckian bound on transport
• Strongly coupled phonon fluid and Goldstone modes in an anharmonic quantum solid: transport and chaos
• Positive Seebeck coefficient in highly doped La${}_{2-x}$Sr${}_x$CuO${}_4$ ($x$=0.33); its origin and implication

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• Thermal decoupling in high-$T_c$ cuprate superconductors
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