Competition between quantum-liquid and electron-solid phases in intermediate Landau levels

Abstract

On the basis of energy calculations we investigate the competition between quantum-liquid and electron-solid phases in the Landau levels n=1,2, and 3 as a function of their partial filling factor. Whereas the quantum-liquid phases are stable only in the vicinity of quantized values 1/(2s+1) of the partial filling factor, an electron solid in the form of a triangular lattice of clusters with a few number of electrons (bubble phase) is energetically favorable between these fillings. This alternation of electron-solid phases, which are insulating because they are pinned by the residual impurities in the sample, and quantum liquids displaying the fractional quantum Hall effect explains a recently observed reentrance of the integral quantum Hall effect in the Landau levels n=1 and 2. Around half-filling of the last Landau level, a uni-directional charge density wave (stripe phase) has a lower energy than the bubble phase.

12 pages, 9 figures; calculation of exact exchange potential for n=1,2,3 included, energies of electron-solid phases now calculated with the help of the exact potential, and discussion of approximation included

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• Charge density wave instabilities of type-II Weyl semimetals in a strong magnetic field
• Anisotropic states of two-dimensional electrons in high magnetic fields
• Fractional quantum Hall states versus Wigner crystals in wide quantum wells in the half-filled lowest and second Landau levels
• Local density of states of electron-crystal phases in graphene in the quantum Hall regime
• On the self-similarity in quantum Hall systems
• Influence of Landau-level mixing on Wigner crystallization in graphene
• Unconventional Reentrant Quantum Hall Effect in a HgTe/CdHgTe Double Quantum Well
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• Competition between fractional quantum Hall liquid and electron solid phases in the Landau levels of multilayer graphene
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• Quantum Oscillations and Magnetoresistance in Type-II Weyl Semimetals - Effect of a Field Induced Charge Density Wave
• Hamiltonian theory for Quantum Hall systems in a tilted magnetic field: robustness of activation gaps
• Replica study of pinned bubble crystals
• Upper bound on the window of density occupied by microemulsion phases in two-dimensional electron systems
• Microscopic details of stripes and bubbles in the quantum Hall regime
• Stability of multielectron bubbles in high Landau levels
• Anisotropic ground states of the quantum Hall system with currents
• Cluster stability driven by quantum fluctuations
• 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
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• Solitonic Excitations in Linearly Coherent Channels of Bilayer Quantum Hall Stripes
• Fractional quantum Hall effect in strained graphene: stability of Laughlin states in disordered (pseudo)magnetic fields
• Interaction-driven quantum phase transitions between topological and crystalline orders of electrons
• Second Generation of Composite Fermions and the Self-Similarity of the Fractional Quantum Hall Effect
• Melting phase diagram of bubble phases in high Landau levels
• Possible new bubble phases of two-dimensional electrons in higher Landau levels
• Dipole representation of composite fermions in graphene quantum Hall systems