Landau Level Quantization on the Sphere

Abstract

It is well established that the Hilbert space for charged particles in a plane subject to a uniform magnetic field can be described by two mutually commuting ladder algebras. We propose a similar formalism for Landau level quantization involving two mutually commuting SU(2) algebras.

6 pages

References in corpus (8)

• The entanglement gap and a new principle of adiabatic continuity
• The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian
• The non-Abelian Interferometer
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Pseudopotentials for Multi-particle Interactions in the Quantum Hall Regime
• Numerical Analysis of Quasiholes of the Moore-Read Wavefunction
• Paired composite fermion wavefunctions
• Skyrmions in the Moore-Read state at nu=5/2

Cited by in corpus (37)

• Uncovering conformal symmetry in the $3D$ Ising transition: State-operator correspondence from a fuzzy sphere regularization
• Spin Dynamics with Inertia in Metallic Ferromagnets
• The Fractional Quantum Hall States at $\nu =13/5$ and $12/5$ and their Non-Abelian Nature
• Competing Crystal Phases in the Lowest Landau Level
• Emergence of non-abelian magnetic monopoles in a quantum impurity problem
• Fermi wave vector for the non-fully spin polarized composite-fermion Fermi sea
• Rotating superfluids and spinning charged operators in conformal field theory
• Positions of the magnetoroton minima in the fractional quantum Hall effect
• Magnetic Bloch Theorem and Reentrant Flat Bands in Twisted Bilayer Graphene at $2\pi$ Flux
• Traits and Characteristics of Interacting Dirac fermions in Monolayer and Bilayer Graphene
• The Euler current and relativistic parity odd transport
• Interacting surface states of three-dimensional topological insulators
• Probing non-Hermitian phase transitions in curved space via quench dynamics
• Interacting composite fermions: Nature of the 4/5, 5/7, 6/7, and 6/17 fractional quantum Hall states
• Constructing the Infrared Conformal Generators on the Fuzzy Sphere
• Particle-hole symmetry for composite fermions: An emergent symmetry in the fractional quantum Hall effect
• Synthetic Landau levels and spinor vortex matter on Haldane spherical surface with magnetic monopole
• Laughlin states and their quasi-particle excitations on the torus
• Landau quantization of multilayer graphene on a Haldane sphere
• Quantum Monte Carlo Simulation of the 3D Ising Transition on the Fuzzy Sphere
• Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole
• Fractionalisation and dynamics of anyons at $\nu =n+1/3$ in fractional quantum Hall effect and their experimental signatures
• Spin-statistics relation and the Abelian braiding phase for anyons in fractional quantum Hall effect
• Virial Theorem and Hypervirial Theorem in a spherical geometry
• A Quantum Ring in a Nanosphere
• Landau level quantization for massless Dirac fermions in the spherical geometry: graphene fractional quantum Hall effect on the Haldane sphere
• Hierarchical Nature of the Quantum Hall Effects
• Projective symmetry of partons in Kitaev's honeycomb model
• Disorder-induced density of states on the surface of a spherical topological insulator
• Quantum Error Correction in the Lowest Landau Level
• Numerical demonstration of Abelian fractional statistics of composite fermions in the spherical geometry
• A Fuzzy Sphere Journey in Critical Phenomena
• Construction of a series of new $\nu =2/5$ fractional quantum Hall wave functions by conformal field theory
• Fractional Quantum Hall States on CP2 Space
• Particle-Hole Mirror Symmetries around the Half-Filled Shell: The Quantum Numbers and Algebraic Structure of Composite Fermions
• Piecewise-terminated spherical topological insulator as a virtual breadboard for Majorana circuitry
• Bisognano-Wichmann Hamiltonian for the entanglement spectroscopy of fractional quantum Hall states