Structural Order and Melting of a Quasi-One-Dimensional Electron System

Abstract

We investigate the influence of confinement on the positional order of a quasi-1D electron system trapped on the surface of liquid helium. We find evidence that the melting of the Wigner solid (WS) depends on the confinement strength, as well as electron density and temperature. A reentrant solid-liquid-solid transition is observed for increasing electron density under constant electrostatic confinement. As the electron row number $N_y$ changes, varying commensurability results in a modulation of the WS order, even when $N_y$ is large (several tens). This is confirmed by Monte Carlo simulations.

References in corpus (8)

• Possible Spin Polarization in a One-Dimensional Electron Gas
• Generic properties of a quasi-one dimensional classical Wigner crystal
• Proposal for manipulating and detecting spin and orbital states of trapped electrons on helium using cavity quantum electrodynamics
• Mode locking of vortex matter driven through mesoscopic channels
• Lane reduction in driven 2d-colloidal systems through microchannels
• Incipient Formation of an Electron Lattice in a Weakly-Confined Quantum Wire
• Stick-Slip Motion of the Wigner Solid on Liquid Helium
• Formation of defects in multirow Wigner crystals

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• Transport properties of a quasi-1D Wigner Solid on liquid helium confined in a microchannel with periodic potential
• Controlled-NOT gate based on the Rydberg states of surface electrons
• Observation of the Rydberg resonance in surface electrons on superfluid helium confined in a 4-$\mu$m deep channel
• Universal quantum gates by nonadiabatic holonomic evolution for the surface electron
• Plasmon Mode Engineering with Electrons on Helium