Delacrétaz, Luca | Search NASA

DOE OSTI2022

Thermalization and hydrodynamics of two-dimensional quantum field theories

We consider 2d QFTs as relevant deformations of CFTs in the thermodynamic limit. Using causality and KPZ universality, we place a lower bound on the timescale characterizing the onset of hydrodynamics. The bound is determined parametrically in terms of the temperature and the scale associated with the relevant deformation. This bound is typically much stronger than \frac{1}{T} 1 T , the expected quantum equilibration time. Subluminality of sound further allows us to define a thermodynamic C C -function, and constrain the sign of the T\bar T T T ‾ term in EFTs.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

DOE OSTI2017

Bad Metals from Fluctuating Density Waves

Bad metals have a large resistivity without being strongly disordered. In many bad metals the Drude peak moves away from zero frequency as the resistivity becomes large at increasing temperatures. We catalogue the position and width of the ‘displaced Drude peak’ in the observed optical conductivity of several families of bad metals, showing that \omega_\text{peak} \sim \Delta \omega \sim k_BT/\hbar ω peak ∼ Δ ω ∼ k B T / ℏ . This is the same quantum critical timescale that underpins the T T -linear dc resistivity of many of these materials. We provide a unified theoretical description of the optical and dc transport properties of bad metals in terms of the hydrodynamics of short range quantum critical fluctuations of incommensurate density wave order. Within hydrodynamics, pinned translational order is essential to obtain the nonzero frequency peak.

Delacrétaz, Luca↗