Testing the topological nature of the fractional quantum Hall edge

Abstract

We carry out numerical diagonalization for much larger systems than before by restricting the fractional quantum Hall (FQH) edge excitations to a basis that is exact for a short-range interaction and very accurate for the Coulomb interaction. This enables us to perform substantial tests of the predicted universality of the edge physics. Our results provide compelling evidence that the behavior of the FQH edge is intrinsically nonuniversal, even in the absence of edge reconstruction, and therefore does not bear a sharp and unique relation to the bulk FQH state.

5 Pages with 2 Figures. Journal paper

References in corpus (19)

• Bosonization for Beginners --- Refermionization for Experts
• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Composite Fermions in the Hilbert Space of the Lowest Electronic Landau Level
• Reconstruction of Fractional Quantum Hall Edges
• Edge reconstruction in the fractional quantum Hall regime
• Theoretical Search for Nested Quantum Hall Effect of Composite Fermions
• Field Theoretical Description of Quantum Hall Edge Reconstruction
• Universal structure of the edge states of the fractional quantum Hall states
• How universal is the fractional-quantum-Hall edge Luttinger liquid?
• Numerical Tests of the Chiral Luttinger Liquid Theory for Fractional Hall Edges
• Relevance of inter-composite fermion interaction to the edge Tomonaga-Luttinger liquid
• Effective action of a compressible QH state edge: application to tunneling
• Edge reconstructions in fractional quantum Hall systems
• Collective Modes and Electronic Spectral Function in Smooth Edges of Quantum Hall Systems
• Periphery deformations and tunneling at correlated quantum-Hall edges
• Fractional-quantum-Hall edge electrons and Fermi statistics
• Semiconductor quantum dots in high magnetic fields: The composite-fermion view
• Correlated tunneling and the instability of the fractional quantum Hall edge
• Electron operator at the edge of the 1/3 fractional quantum Hall liquid

Cited by in corpus (28)

• Disentangling Entanglement Spectra of Fractional Quantum Hall States on Torus Geometries
• Quantum Hall Effects in Graphene-Based Two-Dimensional Electron Systems
• Multi-orbital model reveals second-order topological insulator in 1H-transition metal dichalcogenide
• Thermopower of Quantum Hall States in Corbino Geometry as a Measure of Quasiparticle Entropy
• Realizing Universal Edge Properties in Graphene Fractional Quantum Hall Liquids
• Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
• Neutral modes edge state dynamics through quantum point contacts
• Fractional quantum Hall edge: Effect of nonlinear dispersion and edge roton
• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Microscopic Study of Edge Excitations of Spin-Polarized and Spin-Unpolarized $\nu =2/3$ Fractional Quantum Hall Effect
• Unified microscopic approach to the interplay of pinned-Wigner-solid and liquid behavior of lowest-Landau-level states in the neighborhood of nu=1/3
• Chiral Luttinger liquids and a generalized Luttinger's theorem in fractional quantum Hall edges via finite-entanglement scaling
• Density functional theory of the fractional quantum Hall effect
• Modified Coulomb gas construction of quantum Hall states from non-unitary conformal field theories
• Linear and nonlinear edge dynamics of trapped fractional quantum Hall droplets
• Edge properties of principal fractional quantum Hall states in the cylinder geometry
• Exotic resonant level models in non-Abelian quantum Hall states coupled to quantum dots
• Microscopic study of the 2/5 fractional quantum Hall edge
• Edge spin excitations and reconstructions of integer quantum Hall liquids
• Identification of the Fractional quantum Hall edge modes by density oscillations
• Edge reconstruction of fractional quantum Hall liquids with spin degrees of freedom
• Entanglement spectrum edge reconstruction and correlation hole of the FQH liquids
• Entropy-Enhanced Fractional Quantum Anomalous Hall Effect
• Many-body study of a quantum point contact in the fractional quantum Hall regime at v=5/2
• Thermoelectric Hall conductivity of the fractional quantum Hall systems on a disk
• The Universal Edge Physics in Fractional Quantum Hall Liquids
• Universality Lost: Relation between quantizations of the Hall conductance and the edge exponents in fractional quantum Hall effect
• Refermionized theory of the edge modes of a fractional quantum Hall cloud