Disorder-induced strong-field strong-localization in 2D systems

Abstract

A recent STM experiment in 2D bilayer graphene [Y.-C. Tsui, et al., Nature 628, 287 (2024)], under a strong perpendicular magnetic field, has made a direct observation of the existence of three distinct filling-factor-dependent quantum phases in the lowest Landau level: the incompressible fractional quantum Hall liquid, a crystalline compressible hexagonal Wigner crystal with long-range order and rotational symmetry-breaking, and a random localized solid phase with no spatial order. We argue that the spatially random localized phase at low filling is the recently proposed disorder-dominated strongly localized amorphous "Anderson solid" phase [A. Babber, et al., arXiv:2601.03521], which appears generically at a sample-dependent filling factor.

12 pages, 4 figures

References in corpus (23)

• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Correlation lengths of Wigner crystal order in two dimensional electron system at high magnetic field
• The Observation of Percolation-Induced 2D Metal-Insulator Transition in a Si MOSFET
• Limit to 2D mobility in modulation-doped GaAs quantum structures: How to achieve a mobility of 100 millions
• Direct observation of a magnetic field-induced Wigner crystal
• Wigner Crystals in the lowest Landau level at low filling factors
• Competing correlated states around the zero field Wigner crystallization transition of electrons in two-dimensions
• Composite Fermions Waltz to the Tune of a Wigner Crystal
• Competing Crystal Phases in the Lowest Landau Level
• Thermal and quantum melting phase diagrams for a magnetic-field-induced Wigner solid
• Interplay between fractional quantum Hall liquid and crystal phases at low filling
• Two-dimensional electron system in high magnetic fields: Wigner crystal vs. composite-fermion liquid
• Filling factor dependence of the fractional quantum Hall effect gap
• Competition between fractional quantum Hall liquid and Wigner solid at small fillings: Role of layer thickness and Landau level mixing
• Correlated states of 2D electrons near the Landau level filling $\nu =1/7$
• Scattering mechanisms in state-of-the-art GaAs/AlGaAs quantum wells
• Density-dependent two-dimensional optimal mobility in ultra-high-quality semiconductor quantum wells
• Integer Quantum Hall Effect: Disorder, temperature, floating, and plateau width
• Signatures of correlated defects in an ultra-clean Wigner crystal in the extreme quantum limit
• Anderson localization crossover in 2D Si systems: The past and the present
• Developing fractional quantum Hall states at even-denominator fillings 1/6 and 1/8
• Competing Many-Body Phases at Small Fillings in Ultrahigh-Quality GaAs 2D Hole Systems: Role of Landau Level Mixing