Oscillating Casimir force between impurities in one-dimensional Fermi liquids

Year: 2007

Authors: Fuchs J.N., Recati A., Zwerger W.

Autors Affiliation: Laboratoire de Physique des Solides, Université Paris-Sud, CNRS, UMR 8502, F-91405 Orsay, France;
CRS BEC-INFM, Povo and ECT*, Villazzano, I-38050 Trento, Italy;
Technische Universität München, James Franck Strasse, D-85748 Garching, Germany.

Abstract: 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 impurity separation. These oscillations in the Casimir interaction have the same period as Friedel oscillations. Their maxima correspond to tunneling resonances tuned by the impurity separation.


Volume: 75 (4)      Pages from: 043615-1  to: 043615-6

KeyWords: Casimir forces; intercating Fermi atoms; Luttinger liquids
DOI: 10.1103/PhysRevA.75.043615

Citations: 34
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