Hamiltonian Theory of the Fractional Quantum Hall Effect: Effect of Landau Level Mixing

Abstract

We derive an effective hamiltonian in the Lowest Landau Level (LLL) that incorporates the effects of Landau-level mixing to all higher Landau levels to leading order in the ratio of interaction energy to the cyclotron energy. We then transcribe the hamiltonian to the composite fermion basis using our hamiltonian approach and compute the effect of LL mixing on transport gaps.

References in corpus (2)

• Insulating and Fractional Quantum Hall States in the N=1 Landau Level
• Hamiltonian Theory of the FQHE: Conserving Approximation for Incompressible Fractions

Cited by in corpus (25)

• The Effect of Landau Level-Mixing on the Effective Interaction between Electrons in the fractional quantum Hall regime
• Landau Level Mixing and the Fractional Quantum Hall Effect
• Wavefunctionology: The Special Structure of Certain Fractional Quantum Hall Wavefunctions
• Thirty Years of Composite Fermions and Beyond
• Edge reconstruction in the fractional quantum Hall regime
• Fractional Quantum Hall Effect at Landau Level Filling nu=4/11
• Hamiltonian theory of fractionally filled Chern bands
• The $\nu =\frac{1}{2}$ Landau level: Half-full or half-empty?
• Fermion Chern Simons Theory of Hierarchical Fractional Quantum Hall States
• Composite fermion pairing induced by Landau level mixing
• The Hierarchy of Incompressible Fractional Quantum Hall States
• Global phase diagram of charge neutral graphene in the quantum Hall regime for generic interactions
• Crossover and Coexistence of Quasiparticle Excitations in the Fractional Quantum Hall Regime at $\nu \le 1/3$
• Hamiltonian theory of the half-filled Landau level with disorder: Application to recent NMR data
• Taming Landau level mixing in fractional quantum Hall states with deep learning
• Particle-hole Asymmetry of Fractional Quantum Hall States in the Second Landau Level of a Two-dimensional Hole System
• Phase diagram of the $\nu =2$ quantum Hall state in bilayer graphene
• Magnetic and Lattice Ordered Fractional Quantum Hall Phases in Graphene
• Noncommutativity Parameter and Composite Fermions
• The last word in strong correlations
• Novel Families of Fractional Quantum Hall States : A Berry Phase Approach
• From frustration-free parent Hamiltonians to off-diagonal long-range order: Moore-Read and related states in second quantization
• Exploring the nature of the emergent gauge field in composite-fermion metals: A large-scale microscopic study
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Uniquely identifying quantum Hall phases in charge neutral graphene