Existence and Vanishing of the Breathing Mode in Strongly Correlated Finite Systems

C. Henning, K. Fujioka, P. Ludwig, A. Piel, A. Melzer, and M. Bonitz
Phys. Rev. Lett. 101, 045002 – Published 22 July 2008

Abstract

One of the fundamental eigenmodes of finite interacting systems is the mode of uniform radial expansion and contraction—the breathing mode (BM). Here we show in a general way that this mode exists only under special conditions: (i) for harmonically trapped systems with interaction potentials of the form 1/rγ (γR0) or log(r), or (ii) for some systems with special symmetry such as single-shell systems forming platonic bodies. Deviations from the BM are demonstrated for two examples: clusters interacting with a Lennard-Jones potential and parabolically trapped systems with Yukawa repulsion. We also show that vanishing of the BM leads to the occurrence of multiple monopole oscillations which is of importance for experiments.

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  • Received 31 March 2008

DOI:https://doi.org/10.1103/PhysRevLett.101.045002

©2008 American Physical Society

Authors & Affiliations

C. Henning1, K. Fujioka2, P. Ludwig1, A. Piel3, A. Melzer4, and M. Bonitz1,*

  • 1Institut für Theoretische Physik und Astrophysik, Christian-Albrechts-Universität zu Kiel, D-24098 Kiel, Germany
  • 2The City College of New York, New York City, New York 10031, USA
  • 3Institut für Experimentelle und Angewandte Physik, Christian-Albrechts-Universität zu Kiel, D-24098 Kiel, Germany
  • 4Institut für Physik, Universität Greifswald, D-17489 Greifswald, Germany

  • *bonitz@physik.uni-kiel.de

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Issue

Vol. 101, Iss. 4 — 25 July 2008

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