Work

Fractional Impurity Entropy from Potential Scattering in a Free Electron Gas

Year: 2026
Type: preprint
Abstract: Fractional changes in entropy are often associated with strong electron correlations or non-Abelian anyons in topological systems. We show that neither condition is necessary -- a system of free electrons on a ring scattering off a repulsive point-like impurity undergoes a $k_B\ln\sqrt 2$ entropy change as the impurity strength is increased. This effect arises from a shift of allowed single-particle momenta from integer quantization to half-integer quantization, induced by the impurity. We show that this fractional entropy change is universal across a broad class of single-particle dispersions, demonstrating that such signatures can arise without strong correlations or topological order.
Language: English
Open Access status: green
OpenAlex ID: W7204963519
Cites: 10
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Related to: 10