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arxiv: 1712.06218 · v1 · pith:UFYU6CFInew · submitted 2017-12-18 · 🧮 math-ph · cond-mat.quant-gas· math.MP· math.SP

Fermionic behavior of ideal anyons

classification 🧮 math-ph cond-mat.quant-gasmath.MPmath.SP
keywords boundsanyonsidealloweralphaanyonbehaviorbosons
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We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter $\alpha$. The lower bounds extend to Lieb-Thirring inequalities for all anyons except bosons.

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