Intra-Landau level polarization effect for a striped Hall gas

TL;DR

This paper investigates the intra-Landau level polarization effects in striped Hall gases, revealing anisotropic, gapless plasmons and providing calculations of dielectric properties and correlation energies within RPA and GRPA frameworks.

Contribution

It introduces a detailed calculation of polarization, dielectric function, and plasmon dispersion specifically for striped Hall gases, highlighting anisotropic and gapless plasmon behavior.

Findings

Plasmons are anisotropic and gapless due to stripe-induced anisotropy.

The plasmon dispersion aligns with previous phonon-based models.

Correlation energies are consistent with other numerical methods.

Abstract

We calculate the polarization function including only intra-Landau level correlation effects of striped Hall gas. Using the polarization function, the dielectric function, the dispersion of the plasmon and the correlation energy are computed in a random phase approximation (RPA) and generalized random phase approximation (GRPA). The plasmon becomes anisotropic and gapless owing to the anisotropy of the striped Hall gas and two dimensionality of the quantum Hall system. The plasmon approximately agrees with the phonon derived before by the single mode approximation. The (G)RPA correlation energy is compared with other numerical calculations.