Quantum Hall Liquid Crystals

Abstract

In this report we summarize a recent progress in exploration of correlated two-dimensional electron states in partially filled high Landau levels. At a mean-field Hartree-Fock level they can be described as charge-density waves, either unidirectional (stripes) or with the symmetry of the triangular lattice (bubbles). Thermal and quantum fluctuations have a profound effect on the stripe density wave and give rise to novel phases, which are quite similar to smectic and nematic liquid crystals. We discuss the effective theories for these phases, their collective modes, and phase transitions between them.

6 pages, 4 figures. A contribution to the Proceedings of PPHMF-IV (Santa Fe, 2001)

References in corpus (1)

• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study

Cited by in corpus (6)

• Theory of Nematic Fractional Quantum Hall State
• Nematic quantum phase transition of composite Fermi liquids in half-filled Landau levels and their geometric response
• Heterostructure Symmetry and the Orientation of the Quantum Hall Nematic Phases
• Numerical study of anisotropy in a composite Fermi liquid
• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
• Massive Higher-Spin Fields in the Fractional Quantum Hall Effect