Yukawa particles confined in a channel and subject to a periodic potential: ground state and normal modes

Abstract

We consider a classical system of two-dimensional (2D) charged particles, which interact through a repulsive Yukawa potential $exp(-r/\lambda )/r$, confined in a parabolic channel which limits the motion of the particles in the $y$-direction. Along the $x$-direction, the particles are also subject to a periodic potential substrate. The ground state configurations and the normal mode spectra of the system are obtained as function of the periodicity and strength of the periodic potential ($V_0$), and density. An interesting set of tunable ground state configurations are found, with first and second order structural transitions between them. A magic configuration with particles aligned in each minimum of the periodic potential is obtained for V_0 larger than some critical value which has a power law dependence on the density. The phonon spectrum of different configurations were also calculated. A localization of the modes into a small frequency interval is observed for a sufficient strength of the periodic potential. A tunable band-gap is found as a function of $V_0$. This model system can be viewed as a generalization of the Frenkel and Kontorova model.

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References in corpus (4)

• Lane reduction in driven 2d-colloidal systems through microchannels
• Dimensional phase transitions in small Yukawa clusters
• Structural and dynamical properties of a quasi-one-dimensional classical binary system
• Two-component mixture of charged particles confined in a channel: melting

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• Lattice modes in a dusty plasma crystal