Static and dynamic properties of crystalline phases of two-dimensional electrons in a strong magnetic field

Abstract

We study the cohesive energy and elastic properties as well as normal modes of the Wigner and bubble crystals of the two-dimensional electron system (2DES) in higher Landau levels. Using a simple Hartree-Fock approach, we show that the shear moduli ($c_{66}$'s) of these electronic crystals show a non-monotonic behavior as a function of the partial filling factor ${\nu }^{\ast }$ at any given Landau level, with $c_{66}$ increasing for small values of ${\nu }^{\ast }$, before reaching a maximum at some intermediate filling factor ${\nu }_m^{\ast }$, and monotonically decreasing for ${\nu }^{\ast }>{\nu }_m^{\ast }$. We also go beyond previous treatments, and study how the phase diagram and elastic properties of electron solids are changed by the effects of screening by electrons in lower Landau levels, and by a finite thickness of the experimental sample. The implications of these results on microwave resonance experiments are briefly discussed.

arXiv commentDiscussion updated - 16 pages, 10 figures; version accepted for publication in Phys. Rev. B

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Cited by in corpus (8)

• NMR profiling of quantum electron solids in high magnetic fields
• Anisotropic states of two-dimensional electrons in high magnetic fields
• Static and Dynamic Properties of Type-II Composite Fermion Wigner Crystals
• Electron Bubbles and the Structure of the Orbital Wavefunction
• Dynamics of the Wigner Crystal of Composite Particles
• Stability of multielectron bubbles in high Landau levels
• Fluctuations and topological transitions of quantum Hall stripes: nematics as anisotropic hexatics
• New topological excitations and melting transitions in quantum Hall systems