Breakdown of the periodic potential ansatz in correlated electron systems

Wouter Montfrooij

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arXiv · 2603.24347

Breakdown of the periodic potential ansatz in correlated electron systems

Wouter Montfrooij

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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.

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Wouter Montfrooij. 2026-03-25. Breakdown of the periodic potential ansatz in correlated electron systems. https://arxiv.org/abs/2603.24347

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