Ground-state properties of one-dimensional anyon gases

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dc.creatorHao, Yajiang
dc.creatorZhang, Yunbo
dc.creatorChen, Shu
dc.date2008-05-14
dc.date2008-08-27
dc.date.accessioned2026-07-07T09:58:22Z
dc.date.available2026-07-07T09:58:22Z
dc.descriptionWe investigate the ground state of the one-dimensional interacting anyonic system based on the exact Bethe ansatz solution for arbitrary coupling constant ($0\leq c\leq \infty$) and statistics parameter ($0\leq κ\leq π$). It is shown that the density of state in quasi-momentum $k$ space and the ground state energy are determined by the renormalized coupling constant $c'$. The effect induced by the statistics parameter $κ$ exhibits in the momentum distribution in two aspects: Besides the effect of renormalized coupling, the anyonic statistics results in the nonsymmetric momentum distribution when the statistics parameter $κ$ deviates from 0 (Bose statistics) and $π$ (Fermi statistics) for any coupling constant $c$. The momentum distribution evolves from a Bose distribution to a Fermi one as $κ$ varies from 0 to $π$. The asymmetric momentum distribution comes from the contribution of the imaginary part of the non-diagonal element of reduced density matrix, which is an odd function of $κ$. The peak at positive momentum will shift to negative momentum if $κ$ is negative.
dc.description6 pages, 5 figures, published version in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/0805.1988
dc.identifierhttp://arxiv.org/abs/0805.1988
dc.identifierPhys. Rev. A 78, 023631 (2008)
dc.identifierdoi:10.1103/PhysRevA.78.023631
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167690
dc.subjectStrongly Correlated Electrons
dc.subjectStatistical Mechanics
dc.titleGround-state properties of one-dimensional anyon gases
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