Ground-State Phase Diagram of 2D Electrons in a High Landau Level: A Density-Matrix Renormalization Group Study

2001/01/26 by N. Shibata, Naokazu Shibata, D. Yoshioka +1 · 13 citations
Physics and Astronomy · #Advanced Chemical Physics Studies #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #cond-mat.mes-hall #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.86.5755

published as Phys.Rev.Lett.86:5755-5758,2001 · 4 pages, 6 figures

arxiv created 2001/01/26 · openalex publication_date 2001/06/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The ground-state phase diagram of 2D electrons in a high Landau level (index N\phantom\rule0ex0ex=\phantom\rule0ex0ex2) is studied by the density-matrix renormalization group method. Pair correlation functions are systematically calculated for various filling factors from \ensuremathν\phantom\rule0ex0ex=\phantom\rule0ex0ex1/8 to 1/2. It is shown that the ground-state phase diagram consists of three different charge density wave states called stripe phase, bubble phase, and Wigner crystal. The boundary between the stripe and the bubble phases is determined to be \ensuremathν_c^s\mathrm\ensuremath-b\ensuremath∼0.38, and that for the bubble phase and Wigner crystal is \ensuremathν_c^b\mathrm\ensuremath-W\ensuremath∼0.24. Each transition is of first order.

Cited by

• Orientation of the Stripe Formed by Two-Dimensional Electrons at High Landau Levels
• Anisotropic transport in unidirectional lateral superlattice around half filling of the second Landau level
• Analytic mean-field charge-density-wave solution atν=1∕3: Composite-fermion-like subbands and correlation effects
• QUANTUM HALL LIQUID CRYSTALS
• Real Space Effective Interaction and Phase Transition in the Lowest Landau Level
• Topological entropy of realistic quantum Hall wave functions
• Quantum theory of bilayer quantum Hall smectics
• New trends in density matrix renormalization
• DMRG study of the ground state at higher Landau levels—stripes, bubbles and the Wigner crystal
• Trapping Abelian anyons in fractional quantum Hall droplets
• Intra-Landau-level polarization effect for a striped Hall gas
• Formulation and application of quantum Monte Carlo method to fractional quantum Hall systems
• Momentum polarization: An entanglement measure of topological spin and chiral central charge