Two-dimensional Classical Wigner Crystal: Elliptical Confining Potential

TL;DR

This paper theoretically studies how two-dimensional charged particles confined by an elliptical boundary transition from zigzag arrangements to linear chains as the boundary's eccentricity increases.

Contribution

It introduces a detailed analysis of ground-state configurations and vibrational modes of 2D charged particles under elliptical confinement, revealing structural transitions.

Findings

Structural transitions from zigzag to linear chain with increasing eccentricity

Identification of vibrational eigenmodes associated with different configurations

Characterization of the critical eccentricity for structural change

Abstract

We investigate theoretically the ground-state configurations of two-dimensional charged-particle systems with an elliptical hard-wall boundary and their vibrational eigenmodes. The systems exhibit a series of structural transitions, finally changing from a zigzag structure to a one-dimensional Coulomb chain, as the eccentricity of the elliptical hard-wall boundary is increased.