Compressibility stripes for mesoscopic quantum Hall samples

Abstract

We numerically investigate the interplay of disorder and electron-electron interactions in the integer quantum Hall effect. In particular, we focus on the behaviour of the electronic compressibility as a function of magnetic field and electron density. We find manifestations of non-linear screening and charging effects around integer filling factors, consistent with recent imaging experiments. Our calculations exhibit $g$-factor enhancement as well as strong overscreening in the centre of the Landau bands. Even though the critical behaviour appears mostly unaffected by interactions, important implications for the phase diagram arise. Our results are in very good agreement with the experimental findings and strongly support the relevance of electron-electron interactions for understanding integer quantum Hall physics.

23 pages, 12 figures, submitted to New J. Phys

References in corpus (20)

• Scaling Theory of the Integer Quantum Hall Effect
• The microscopic nature of localization in the quantum Hall effect
• Mutifractal Analysis of Broadly Distributed Observables at Criticality
• Random Network Models and Quantum Phase Transitions in Two Dimensions
• Relation between the Correlation Dimensions of Multifractal Wavefunctions and Spectral Measures in Integer Quantum Hall Systems
• A New Transport Regime in the Quantum Hall Effect
• The Effects of Electron-Electron Interactions on the Integer Quantum Hall Transitions
• The two-dimensional Anderson model of localization with random hopping
• Quantum Hall fluctuations and evidence for charging in the quantum Hall effect
• Absence of Scaling in the Integer Quantum Hall Effect
• Interactions, Localization, and the Integer Quantum Hall Effect
• Universal Scaling of Strong-Field Localization in an Integer Quantum Hall Liquid
• The instanton vacuum of generalized $C{P}^{N-1}$ models
• Suppression of compressible edge channels and spatial spin polarization in the integer quantum Hall regime
• Liouvillian Approach to the Integer Quantum Hall Effect Transition
• Electron correlations and single-particle physics in the Integer Quantum Hall Effect
• Fluctuating Hall resistance defeats the quantized Hall insulator
• Real-space renormalization-group approach to the integer quantum Hall effect
• Compressibility in the Integer Quantum Hall Effect within Hartree-Fock Approximation
• Coulomb gap in the quantum Hall insulator

Cited by in corpus (13)

• The Quantum Hall Transition in Real Space: From Localized to Extended States
• Robust Nodal Structure of Landau Level Wave Functions Revealed by Fourier Transform Scanning Tunneling Spectroscopy
• Microscopics of disordered two-dimensional electron gases under high magnetic fields: Equilibrium properties and dissipation in the hydrodynamic regime
• Interplay of fractional quantum Hall states and localization in quantum point contacts
• Investigations on unconventional aspects in the quantum Hall regime of narrow gate defined channels
• Phase diagram of a graphene bilayer in the zero-energy Landau level
• Manifestation of many-body interactions in the integer quantum Hall effect regime
• The spin-split incompressible edge states within empirical Hartree approximation at intermediately large Hall samples
• Exchange-mediated dynamic screening in the integer quantum Hall regime
• Microscopic details of stripes and bubbles in the quantum Hall regime
• Probing breakdown of topological protection: Filling-factor-dependent evolution of robust quantum Hall incompressible phases
• Hartree-Fock Interactions in the Integer Quantum Hall Effect
• Spectral weight transfer in a disorder-broadened Landau level