Stripe State in the Lowest Landau Level

Abstract

The stripe state in the lowest Landau level is studied by the density matrix renormalization group (DMRG) method. The ground state energy and pair correlation functions are systematically calculated for various pseudopotentials in the lowest Landau level. We show that the stripe state in the lowest Landau level is realized only in a system whose width perpendicular to the two-dimensional electron layer is smaller than the order of magnetic length.

4 pages, 6 figures, to appear in J. Phys. Soc. Jpn. vol.73 No.1 (2004)

References in corpus (8)

• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field
• Wigner Crystals in the lowest Landau level at low filling factors
• Ground State Phase Diagram of 2D Electrons in High Magnetic Field
• Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems
• DMRG Study of the Ground State at Higher Landau Levels - Stripes, Bubbles and the Wigner Crystal
• Excitation spectrum and effective mass of the even-fraction quantum Hall liquid

Cited by in corpus (7)

• A mechanism for anomalous Hall ferromagnetism in twisted bilayer graphene
• Observation of Incompressibility at $\nu =4/11$ and $\nu =5/13$
• Second Generation of Moore-Read Quasiholes in a Composite Fermion Liquid
• Pair-distribution functions of correlated composite fermions
• Real Space Effective Interaction and Phase Transition in the Lowest Landau Level
• RD-NMR spectra of the crystal states of the two-dimensional electron gas in a quantizing magnetic field
• Modulation Induced Phase Transition from Fractional Quantum Hall to Stripe State at nu=5/3