Charge Density Wave Ordering in Half Filled High Landau Levels

TL;DR

This paper presents numerical evidence for charge density wave ordering in high Landau level half-filled electron systems, showing peaks in density correlations and a decreasing ordering wave vector with increasing Landau level index.

Contribution

It provides the first numerical analysis indicating charge density wave tendencies in high Landau levels, distinct from lower levels.

Findings

Strong peaks in density susceptibility and correlation functions

Charge density wave ordering tendency observed

Wave vector decreases with increasing Landau level index

Abstract

We report on numerical studies of two-dimensional electron systems in the presence of a perpendicular magnetic field, with a high Landau level index (N > 1) half filled by electrons. Strong and sharp peaks are found in the wave vector dependence of both static density susceptibility and equal-time density-density correlation function, in finite-size systems with up to twelve electrons. Qualitatively different from partially filled lowest (N=0) Landau level, these results are suggestive of a tendency toward charge density wave ordering in these systems. The ordering wave vector is found to decrease with increasing N.