Litcius/Paper detail

W-infinity symmetry in the quantum hall effect beyond the edge

Andrea Cappelli, Lorenzo Maffi

2021Journal of High Energy Physics15 citationsDOIOpen Access PDF

Abstract

A bstract The description of chiral quantum incompressible fluids by the W ∞ symmetry can be extended from the edge, where it encompasses the conformal field theory approach, to the non-conformal bulk. The two regimes are characterized by excitations with different sizes, energies and momenta within the disk geometry. In particular, the bulk quantities have a finite limit for large droplets. We obtain analytic results for the radial shape of excitations, the edge reconstruction phenomenon and the energy spectrum of density fluctuations in Laughlin states.

Topics & Concepts

PhysicsQuantum Hall effectConformal mapInfinitySymmetry (geometry)Conformal field theoryEnhanced Data Rates for GSM EvolutionQuantum mechanicsConformal symmetryCompressibilityCondensed matter physicsField (mathematics)Spectrum (functional analysis)Quantum electrodynamicsMathematical physicsGeometryMagnetic fieldMathematicsMathematical analysisMechanicsPure mathematicsTelecommunicationsComputer scienceQuantum and electron transport phenomenaQuantum Information and CryptographyPhysics of Superconductivity and Magnetism