Fingerprints of Composite Fermion Lambda Levels in Scanning Tunneling Microscopy

Abstract

Composite fermion (CF) is a topological quasiparticle that emerges from a non-perturbative attachment of vortices to electrons in strongly correlated two-dimensional materials. Similar to non-interacting fermions that form Landau levels in a magnetic field, CFs can fill analogous ``Lambda'' levels, giving rise to the fractional quantum Hall (FQH) effect of electrons. Here, we show that Lambda levels can be directly visualized through the characteristic peak structure in the signal obtained via spectroscopy with the scanning tunneling microscopy (STM) on a FQH state. Complementary to transport, which probes low-energy properties of CFs, we show that \emph{high-energy} features in STM spectra can be interpreted in terms of Lambda levels. We numerically demonstrate that STM spectra can be accurately modeled using Jain's CF theory. Our results show that STM provides a powerful tool for revealing the anatomy of FQH states and identifying physics beyond the non-interacting CF paradigm.

Seven figures including supplementary materials

References in corpus (39)

• The Kernel Polynomial Method
• Observation of the Fractional Quantum Hall Effect in Graphene
• Fractional quantum Hall effect and insulating phase of Dirac electrons in graphene
• Direct observation of anyonic braiding statistics at the $\nu$=1/3 fractional quantum Hall state
• Multicomponent fractional quantum Hall effect in graphene
• Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
• Unconventional Sequence of Fractional Quantum Hall States in Suspended Graphene
• Tunable Fractional Quantum Hall Phases in Bilayer Graphene
• Visualizing Broken Symmetry and Topological Defects in a Quantum Hall Ferromagnet
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Band Structure of the Fractional Quantum Hall Effect
• Excitation gaps in fractional quantum Hall states: An exact diagonalization study
• Electron-Hole Asymmetric Integer and Fractional Quantum Hall Effect in Bilayer Graphene
• Tunneling into a two-dimensional electron system in a strong magnetic field
• Observation of a Nematic Quantum Hall Liquid on the Surface of Bismuth
• Composite Fermions and Broken Symmetries in Graphene
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Theoretical Search for Nested Quantum Hall Effect of Composite Fermions
• Imaging tunable quantum Hall broken-symmetry orders in graphene
• High Resolution Spectroscopy of Two-Dimensional Electron Systems
• Screening Charged Impurities and Lifting the Orbital Degeneracy in Graphene by Populating Landau Levels
• State Counting for Excited Bands of the Fractional Quantum Hall Effect: Exclusion Rules for Bound Excitons
• Phase Diagram of Fractional Quantum Hall Effect of Composite Fermions in Multi-Component Systems
• Excitation Spectrum and Collective Modes of Composite Fermions
• Anomalous structure in the single particle spectrum of the fractional quantum Hall effect
• A non-Abelian parton state for the $\nu =2+3/8$ fractional quantum Hall effect
• Multiple Magnetorotons and Spectral Sum Rules in Fractional Quantum Hall Systems
• Imaging anyons with scanning tunneling microscopy
• Tripartite Composite Fermion States
• Positions of the magnetoroton minima in the fractional quantum Hall effect
• Complete spin phase diagram of the fractional quantum Hall liquid
• Reconstructing the electron in a fractionalized quantum fluid
• STM in the fractional quantum Hall effect: Spectroscopy of composite-fermion bound states
• Local density of states and particle entanglement in topological quantum fluids
• Revisiting excitation gaps in the fractional quantum Hall effect
• Haldane Sashes in Quantum Hall Spectra
• Theoretical analysis of the density of states of graphene at high magnetic field using Haldane pseudopotentials
• Tunneling density of states, correlation energy, and spin polarization in the fractional quantum Hall regime

Cited by in corpus (10)

• Splitting of Girvin-MacDonald-Platzman density wave and the nature of chiral gravitons in fractional quantum Hall effect
• Single-particle spectral function of fractional quantum anomalous Hall states
• Unlocking new regimes in fractional quantum Hall effect with quaternions
• Entanglement scaling and charge fluctuations in a Fermi liquid of composite fermions
• Dispersion of neutral collective modes in partonic fractional quantum Hall states and its applications to paired states of composite fermions
• Electronic Excitations in the Bulk of Fractional Quantum Hall States
• Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
• Sensing the binding and unbinding of anyons at impurities
• Anomalous Transport Gaps of Fractional Quantum Hall Phases in Graphene Landau Levels are Induced by Spin-Valley Entangled Ground States
• Excitation and tunneling spectra of a fractional quantum Hall system in the thin cylinder limit