Internship and thesis proposals
From Boltzmann transport to hydrodynamics

Domaines
Condensed matter
Fields theory/String theory
Nouveaux états électroniques de la matière corrélée
Non-relativistic quantum field theory, quantum optics, complex quantum systems
Kinetic theory ; Diffusion ; Long-range interacting systems
Hydrodynamics/Turbulence/Fluid mechanics

Type of internship
Théorique, numérique
Description
In this doctoral project, we will study strongly-correlated Condensed Matter systems (such as are found in high Tc superconductors, in particular the strange metallic phase) and the effective theories describing their low-energy dynamics. The Boltzmann equation is a semi-classical framework often employed to describe the transport properties (resistivity, thermoelectric transport, magnetoresistance) of Fermi liquids, which display long-lived quasiparticles. It is then surprising that it also captures some overdoped cuprate strange metals with some measure of success, given that there quasiparticles are short-lived. On the other hand, hydrodynamics is an effective theory of the late times, long wavelength dynamics of conserved quantities of any interacting systems, whether it features long-lived quasiparticles or not. Our goal is to understand which type of hydrodynamic theories arise from the Boltzmann equation dependending on the geometry of the Fermi surface and the Ansatz for the quasiparticle relaxation time. We will seek to disentangle which predictions of Boltzmann transport are intrinsic to a quasiparticle picture, and which are simply prediction of the universal low-energy hydrodynamic regime. This will help to illuminate the reason behind the successes of Boltzmann transport in strange metallic phases.

Contact
Blaise Goutéraux
Laboratory : CPHT - UMR 7644
Team : String Theory
Team Website
/ Thesis :    Funding :