Hamiltonian Theory of the Fractional Quantum Hall Effect: Effect of Landau Level Mixing
Ganpathy Murthy, R. Shankar
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.
Create a lesson
Related papers
Hall-Density Collapse as Direct Evidence for Percolative Conduction Onset in Monolayer MoS2 Transistors
R. V. Upadya, M. Introna, X. Wu et al.
Spin swapping mediated by spin-orbital textures in centrosymmetric multiorbital materials
Chengyuan Cai, Hanchen Wang, Rui-Chun Xiao et al.
Electrostatics of Chern junctions in a magnetic field
Robin Durand, Pascal Simon, Ion Garate
Spin Simulators based on Exciton-Polariton Waveguide Networks
Kevin Dini, Simone Zanotti, Timothy C. H. Liew
The quantized Hall effect knows which way the current flows: mirror covariance and rectification in a laterally asymmetric Hall bar
A. Siddiki
Floquet-Volkov spin polarization in spin-degenerate Antiferromagnets
Jiyang Fan, Dinghui Wang, Tongshuai Zhu