Intra-Landau-level polarization effect for a striped Hall gas

2003/12/31 by T. Aoyama, Takuya Aoyama, K. Ishikawa +3
Physics and Astronomy · #Magnetic properties of thin films #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #hep-th

paper · pdf · doi:10.1103/physrevb.70.035314

published as Phys. Rev. B 70, 035314 (2004) · 15 pages,15 figures, revtex4, published version

openalex publication_date 2004/07/22 · arxiv created 2004/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum theory of quantum Hall smectics
• Ground-State Phase Diagram of 2D Electrons in a High Landau Level: A Density-Matrix Renormalization Group Study
• Theory of the quantum Hall Smectic Phase. II. Microscopic theory
• Orientation of the Stripe Formed by Two-Dimensional Electrons at High Landau Levels
• FIELD THEORY OF ANISOTROPIC QUANTUM HALL GAS: METROLOGY AND A NOVEL QUANTUM HALL REGIME