Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2006-10-24
Phys. Rev. A 75, 043615 (2007)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
This paper is a continuation of Phys. Rev. A 72, 023616 (2005). v2: two appendix added
Scientific paper
10.1103/PhysRevA.75.059904
We study the interaction of two localized impurities in a repulsive one-dimensional Fermi liquid via bosonization. In a previous paper [Phys. Rev. A 72, 023616 (2005)], it was shown that at distances much larger than the interparticle spacing the impurities interact through a Casimir-type force mediated by the zero sound phonons of the underlying quantum liquid. Here we extend these results and show that the strength and sign of this Casimir interaction depend sensitively on the impurities separation. These oscillations in the Casimir interaction have the same period as Friedel oscillations. Their maxima correspond to tunneling resonances tuned by the impurities separation.
Fuchs Jean-Noël
Recati Alessio
Zwerger Wilhelm
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