Melting phase diagram of bubble phases in high Landau levels

Abstract

A low-disorder, two-dimensional electron system (2DES) subjected to a large perpendicular magnetic field and cooled to very low temperatures provides a rich platform for studies of many-body quantum phases. The magnetic field quenches the electrons' kinetic energy and quantizes the energy into a set of Landau levels, allowing the Coulomb interaction to dominate. In excited Landau levels, the fine interplay between short- and long-range interactions stabilizes bubble phases, Wigner crystals with more than one electron per unit cell. Here we present the screening properties of bubble phases, probed via a simple capacitance technique where the 2DES is placed between a top and a bottom gate and the electric field penetrating through the 2DES is measured. The bubbles formed at very low temperatures screen the electric field poorly as they are pinned by the residual disorder potential, allowing a large electric field to reach the top gate. As the temperature is increased, the penetrating electric field decreases and, surprisingly, exhibits a pronounced minimum at a temperature that appears to coincide with the melting temperature of the bubble phase. We deduce a quantitative phase diagram for the transition from bubble to liquid phases for Landau level filling factors $4\le \nu \le 5$.

References in corpus (25)

• Evidence for an Anisotropic State of Two-Dimensional Electrons in High Landau Levels
• Charge Density Wave in Two-Dimensional Electron Liquid in Weak Magnetic Field
• Strongly Anisotropic Transport in Higher Two-Dimensional Landau Levels
• Liquid Crystal Phases of Quantum Hall Systems
• The Ground State of a Two-Dimensional Electron Liquid in a Weak Magnetic Field
• Exact results for interacting electrons in high Landau levels
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Ultra-high quality two-dimensional electron systems
• Ground state phase diagram of 2D electrons in a high Landau level: - DMRG study
• New insulating phases of two-dimensional electrons in high Landau levels: observation of sharp thresholds to conduction
• Melting of a 2D Quantum Electron Solid in High Magnetic Field
• Spontaneous Breakdown of Translational Symmetry in Quantum Hall Systems: Crystalline Order in High Landau Levels
• Competition between quantum-liquid and electron-solid phases in intermediate Landau levels
• Microwave resonances of the bubble phases in 1/4 and 3/4 filled higher Landau levels
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• 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
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Dynamics of electrons in the quantum Hall bubble phases
• Probing the Melting of a Two-dimensional Quantum Wigner Crystal via its Screening Efficiency
• De-Pinning Transition of Bubble Phases in a High Landau Level
• Competing charge density waves probed by non-linear transport and noise in the second and third Landau levels
• Working principles of doping-well structures for high-mobility two-dimensional electron systems
• Electron Bubbles and the Structure of the Orbital Wavefunction
• Stability of multielectron bubbles in high Landau levels