Charge density waves and their transitions in anisotropic quantum Hall systems

Abstract

In recent experiments, external anisotropy has been a useful tool to tune different phases and study their competitions. In this paper, we look at the quantum Hall charge density wave states in the $N=2$ Landau level. Without anisotropy, there are two first-order phase transitions between the Wigner crystal, the $2$-electron bubble phase, and the stripe phase. By adding mass anisotropy, our analytical and numerical studies show that the $2$-electron bubble phase disappears and the stripe phase significantly enlarges its domain in the phase diagram. Meanwhile, a regime of stripe crystals that may be observed experimentally is unveiled after the bubble phase gets out. Upon increase of the anisotropy, the energy of the phases at the transitions becomes progressively smooth as a function of the filling. We conclude that all first-order phase transitions are replaced by continuous phase transitions, providing a possible realisation of continuous quantum crystalline phase transitions.

13+3 pages, 6 figures

References in corpus (12)

• Strain-Engineering Anisotropic Electrical Conductance of Phosphorene and Few-Layer Black Phosphorus
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• Infinite size density matrix renormalization group, revisited
• Band mass anisotropy and the intrinsic metric of fractional quantum Hall systems
• Microwave Resonance of 2D Wigner Crystal around integer Landau fillings
• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• Microscopic Theory of the Reentrant IQHE in the First and Second Excited LLs
• Observation of pinning mode of stripe phases of 2D systems in high Landau levels
• Anisotropic Pseudopotential Characterization of Quantum Hall Systems under Tilted Magnetic Field
• Anisotropic states of two-dimensional electrons in high magnetic fields
• Effective spin chains for fractional quantum Hall states
• Collective excitations of quantum Hall states under tilted magnetic field

Cited by in corpus (3)

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• Terminable Transitions in a Topological Fermionic Ladder