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Cambridge University Press eBooks

Entropy of quantized systems

Don S. Lemons

Published Aug 29, 2013• 0 citations
Publisher
DOI
10.1017/cbo9780511984556.005

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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 kBln⁡2k_B\ln\sqrt 2kB​ln2​ 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.