Thèse Dynamique Transport et Chaos dans la Matiere Quantique Fermionique H/F

Doctorat.Gouv.Fr

Materials with strong electronic correlations display remarkable properties in thermal equilibrium. They feature complex phase diagrams with rich patterns of broken symmetries phases including unconventional (High-temperature) superconductivity. Strong correlations lead to important deviations from the textbook picture of good metals, as described by Fermi Liquid theory. In fact, many of the exotic properties of these materials seem to be deeply connected to this departure from standard behavior. Non-Fermi Liquids, phases of matter without well-defined quasiparticles, represent a first relevant example. They display unusual transport properties, most notably a linear in temperature resistivity and planckian dissipation, leading to a strange metallic behavior which have attracted continuous interest over the past decades [1-5]. A paradigmatic example of Non-Fermi Liquid is provided by the Sachdev-Ye-Kitaev model [6], describing random all-to-all interacting fermions, and its variants including lattice generalizations or random t-J models [7-9]. Another consequence of strong correlations in metals with partially filled bands manifests in so called Hund's metallic behavior [10, 11]. Here the system features coexistence of mobile electrons and localized ones, leading to a strong suppression of the coherence scale associated to quasiparticles and a bad metallic behavior [12], which is expected to affect their transport and dynamical properties. Hund's coupling in correlated electron systems is responsible for enhanced quasiparticle interactions, Fermi-Liquid instabilities leading to phase separation [13] and Mott critical points [14]. Although well studied in thermal equilibrium, the nonequilibrium dynamics of these strongly correlated electron systems are significantly less understood. The goal of this PhD project is to study transport, dynamics and chaos properties of strongly correlated electron systems.