Melting temperature of screened Wigner crystal on helium films by molecular dynamics

TL;DR

This study uses molecular dynamics simulations to determine the melting temperature of a screened Wigner crystal on helium films, considering various film thicknesses, dielectric constants, and electron densities, aligning well with existing data.

Contribution

First to systematically simulate melting temperatures of Wigner crystals on helium films with varying parameters using MD, providing comprehensive insights.

Findings

Melting temperature depends on film thickness and dielectric constant.

Results agree with existing theoretical and experimental data.

Provides detailed data across a range of densities and film properties.

Abstract

Using molecular dynamics (MD) simulation, we have calculated the melting temperature of two-dimensional electron systems on $ 240$\AA-$ 500$\AA helium films supported by substrates of dielectric constants $ \epsilon_{s}=2.2-11.9$ at areal densities $n$ varying from $ 3\times 10^{9}$ cm$^{-2}$ to $ 1.3\times 10^{10}$ cm$^{-2}$. Our results are in good agreement with the available theoretical and experimental results.