Disorder broadening of even denominator fractional quantum Hall states in the presence of a short-range alloy potential

Abstract

We study energy gaps of the $\nu =7/2$ and $\nu =5/2$ fractional quantum Hall states in a series of two-dimensional electron gases containing alloy disorder. We found that gaps at these two filling factors have the same suppression rate with alloy disorder. The dimensionless intrinsic gaps in our alloy samples obtained from the model proposed by Morf and d'Ambrumenil are consistent with numerical results, but are larger than those obtained from experiments on pristine samples published in the literature. The disorder broadening parameter has large uncertainties. However, a modified analysis relying on shared intrinsic gaps yields consistent results for both the $\nu =5/2$ and $7/2$ fractional quantum Hall states and establishes a linear relationship between the disorder broadening parameter and alloy concentration. Furthermore, we find that we can separate contributions to the disorder broadening of the long-range and short-range scattering.

References in corpus (43)

• Non-Abelian Anyons and Topological Quantum Computation
• Observation of half-integer thermal Hall conductance
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Exact Quantization of Even-Denominator Fractional Quantum Hall State at $\nu$=5/2 Landau Level Filling Factor
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Experimental studies of the fractional quantum Hall effect in the first excited Landau level
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Transition from an electron solid to the sequence of fractional quantum Hall states at very low Landau level filling factor
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• Fractional Quantum Hall Effect in the Second Landau Level
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Intrinsic Gap of the nu=5/2 Fractional Quantum Hall State
• Possibility of p-wave pairing of composite fermions at $\nu =1/2$
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Topological Order from Disorder and the Quantized Hall Thermal Metal: Possible Applications to the $\nu =5/2$ State
• Orbital Landau level dependence of the fractional quantum Hall effect in quasi-two dimensional electron layers: finite-thickness effects
• Disorder driven collapse of the mobility gap and transition to an insulator in fractional quantum Hall effect
• Theory of Disordered $\nu =5/2$ Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
• Impact of disorder on the 5/2 fractional quantum Hall state
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• Integrated Electronic Transport and Thermometry at milliKelvin Temperatures and in Strong Magnetic Fields
• Mobility gap in fractional quantum Hall liquids: Effects of disorder and layer thickness
• Universal Prefactor of Activated Conductivity in the Quantum Hall Effect
• $nu=5/2$ Fractional Quantum Hall State in Low-Mobility Electron Systems: Different Roles of Disorder
• Striped quantum Hall state in a half-filled Landau level
• Interaction-tuned compressible-to-incompressible phase transitions in the quantum Hall systems
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Landau level mixing in the nu=5/2 fractional quantum Hall state
• Quantum Entanglement as a Diagnostic of Phase Transitions in Disordered Fractional Quantum Hall Liquids
• Quantum Lifetime in Ultra-High Quality GaAs Quantum Wells: Relationship to ${\Delta }_{5/2}$ and Impact of Density Fluctuations
• Increasing the ν = 5 / 2 gap energy: an analysis of MBE growth parameters
• Model for Dissipative Conductance in Fractional Quantum Hall States
• Disorder-driven transition and intermediate phase for $\nu =5/2$ fractional quantum Hall effect
• Phase diagram and edge states of the $\nu =5/2$ fractional quantum Hall state with Landau level mixing and finite well thickness
• Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States
• Evolution of quantum entanglement with disorder in fractional quantum Hall liquids
• Two- and three-electron bubbles in Al${}_x$Ga${}_{1-x}$As/Al${}_{0.24}$Ga${}_{0.76}$As quantum wells
• Growth and electrical characterization of Al0.24Ga0.76As/AlxGa1-xAs/Al0.24Ga0.76As modulation-doped quantum wells with extremely low x
• Short and Long Ranged Impurities in Fractional Quantum Hall Systems

Cited by in corpus (4)

• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• On the zero-field quantization of the anomalous quantum Hall effect in moiré 2D layers
• High transparency induced superconductivity in field effect two-dimensional electron gases in undoped InAs/AlGaSb surface quantum wells
• Gate tuning of fractional quantum Hall states in InAs two-dimensional electron gas