Fermionic behavior of ideal anyons |
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| Authors: | Douglas Lundholm Robert Seiringer |
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| Institution: | 1.Department of Mathematics,KTH Royal Institute of Technology,Stockholm,Sweden;2.IST Austria,Klosterneuburg,Austria |
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| Abstract: | 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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