Breakdown of the periodic potential ansatz in correlated electron systems

Abstract

Our electronic structure theory for crystalline solids is commonly built on the periodic potential assumption $V(\mathbf{r})=V(\mathbf{r}+\mathbf{R})$ for every lattice translation $\mathbf{R}$, enabling Bloch eigenstates, crystal momentum as a good quantum number, and the standard quasiparticle-based description of the behavior of metals. Because the zero-point motion of the ions, however, in correlated electron systems the electronic environment experienced by an itinerant electron is neither static nor self-averaging at the single-particle level, even in perfectly stoichiometric crystals, leading to a distribution of local Kondo scales that spans two orders of magnitude in temperature. We discuss, through a comparison between uniform scenarios and one that breaks with perfect lattice translational symmetry, how incorporating this distribution yields a unified description for all heavy-fermion systems at the quantum critical point.

Materials for talk at "Fluctuations, quenched disorder, and strong correlations (FQDSC)" workshop at Max Planck Institute Dresden, June 2026