Dynamics of electrons in the quantum Hall bubble phases
arXiv:cond-mat/0304412 · doi:10.1103/PhysRevB.68.155327
Abstract
In Landau levels N > 1, the ground state of the two-dimensional electron gas (2DEG) in a perpendicular magnetic field evolves from a Wigner crystal for small filling of the partially filled Landau level, into a succession of bubble states with increasing number of guiding centers per bubble as the filling increases, to a modulated stripe state near half filling. In this work, we show that these first-order phase transitions between the bubble states lead to measurable discontinuities in several physical quantities such as the density of states and the magnetization of the 2DEG. We discuss in detail the behavior of the collective excitations of the bubble states and show that their spectra have higher-energy modes besides the pinned phonon mode. The frequencies of these modes, at small wavevector k, have a discontinuous evolution as a function of filling factor that should be measurable in, for example, microwave absorption experiments.
13 pages, 7 figures. Corrected typos in eqs. (38),(39),(40)
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Cited by in corpus (29)
- Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
- Evidence of a first order phase transition between Wigner crystal and Bubble Phases of 2D electrons in higher Landau levels
- Contrasting Energy Scales of the Reentrant Integer Quantum Hall States
- Quantum nematic as ground state of a two-dimensional electron gas in a magnetic field
- Orbital and interlayer Skyrmions crystals in bilayer graphene
- Observation of pinning mode of stripe phases of 2D systems in high Landau levels
- Skyrme and Wigner crystals in graphene
- De-Pinning Transition of Bubble Phases in a High Landau Level
- Anisotropic states of two-dimensional electrons in high magnetic fields
- Local density of states of electron-crystal phases in graphene in the quantum Hall regime
- Bilayer graphene as an helical quantum Hall ferromagnet
- Electron Bubbles and the Structure of the Orbital Wavefunction
- Nonequilibrium transport in density-modulated phases of the second Landau level
- Unified hydrodynamics theory of the lowest Landau level
- Static and dynamic properties of crystalline phases of two-dimensional electrons in a strong magnetic field
- Replica study of pinned bubble crystals
- Microscopic details of stripes and bubbles in the quantum Hall regime
- Stability of multielectron bubbles in high Landau levels
- RD-NMR spectra of the crystal states of the two-dimensional electron gas in a quantizing magnetic field
- Charge density waves and their transitions in anisotropic quantum Hall systems
- Dynamical matrix of two-dimensional electron crystals
- Variational Monte-Carlo calculation of the nematic state of the two-dimensional electron gas in a magnetic field
- Solitonic Excitations in Linearly Coherent Channels of Bilayer Quantum Hall Stripes
- Melting phase diagram of bubble phases in high Landau levels
- Nuclear magnetic resonance line shapes of Wigner crystals in C-enriched graphene
- Phase transitions induced by a lateral superlattice potential in a two-dimensional electron gas
- Quantum Phases in Partially Filled Landau Levels
- Possible new bubble phases of two-dimensional electrons in higher Landau levels
- New topological excitations and melting transitions in quantum Hall systems