Fractional Edge Reconstruction in Integer Quantum Hall Phases

Abstract

Protected edge modes are the cornerstone of topological states of matter. The simplest example is provided by the integer quantum Hall state at Landau level filling unity, which should feature a single chiral mode carrying electronic excitations. In the presence of a smooth confining potential it was hitherto believed that this picture may only be partially modified by the appearance of additional counterpropagating integer-charge modes. Here, we demonstrate the breakdown of this paradigm: The system favors the formation of edge modes supporting fractional excitations. This accounts for previous observations, and leads to additional predictions amenable to experimental tests.

arXiv comment6 pages, 4 figures and Supplementary Material. v2 -- Updated References. v3 -- Published Version

References in corpus (33)

• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Observation of neutral modes in the fractional quantum Hall regime
• Impurity scattering and transport of fractional Quantum Hall edge state
• Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density Droplet
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Reconstruction of Fractional Quantum Hall Edges
• Edge reconstruction in the fractional quantum Hall regime
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Proliferation of neutral modes in fractional quantum Hall states
• A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
• Composite Edge States in the $\nu =2/3$ Fractional Quantum Hall Regime
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Spontaneous breakdown of topological protection in two dimensions
• Textured Edges in Quantum Hall Systems
• Melting of interference in the fractional quantum Hall effect: Appearance of neutral modes
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Topological classification of shot noise on fractional quantum Hall edges
• Synthesizing a Fractional v=2/3 State from Particle and Hole States
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Edge-mode velocities and thermal coherence of quantum Hall interferometers
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• Imaging the Conductance of Integer and Fractional Quantum Hall Edge States
• Edge reconstructions in fractional quantum Hall systems
• Imaging fractional incompressible stripes in integer quantum Hall systems
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Angular Momentum Distribution Function of the Laughlin Droplet
• Analytic Coulomb matrix elements in the lowest Landau level in disk geometry
• Ground state and edge excitations of quantum Hall liquid at filling factor 2/3
• Spin Mode-Switching at the Edge of a Quantum Hall System
• Magnetic field dependent equilibration of fractional quantum Hall edge modes
• Edge spin excitations and reconstructions of integer quantum Hall liquids

Cited by in corpus (27)

• Anyonic interference and braiding phase in a Mach-Zehnder Interferometer
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Does shot noise always provide the quasiparticle charge?
• Robustness of quantum Hall interferometry
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Absence of edge reconstruction for quantum Hall edge channels in graphene devices
• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Mapping quantum Hall edge states in graphene by scanning tunneling microscopy
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Symmetry-related transport on a fractional quantum Hall edge
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Edge Reconstruction of a Time-Reversal Invariant Insulator: Compressible-Incompressible Stripes
• The Monte Carlo simulation of the topological quantities in FQH systems
• Anomalous Aharonov-Bohm Interference in the Presence of Edge Reconstruction
• Bulk-edge Correspondence in the Adiabatic Heuristic Principle
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Spontaneous localization at a potential saddle point from edge state reconstruction in a quantum Hall point contact
• Sensing the binding and unbinding of anyons at impurities
• Edge reconstruction of compressible Quantum Hall fluid in the filling fraction range 1/3 to 2/3
• Fractional quantum Hall interface induced by geometric singularity
• Elevated Hall Responses as Indicators of Edge Reconstruction
• Can Majorana zero modes in quantum Hall edges survive edge reconstruction?
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1