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
Coherent and ultra-low-power EDSR with a flopping-mode spin qubit in germanium
Alexei Orekhov, Wonjin Jang, Pan Zhang et al.
Disorder-induced modulation of the nonlinear Hall effect in Weyl semimetals
Juan A. Cañas, Daniel A. Bonilla, A. Martín-Ruiz
Coplanar Lateral Gating MoS2 on SrTiO3: A Unified Platform for Classical and Quantum Devices
Prasad Muragesh, Manav Murali, Venkatesha Modur Ramachandra et al.
Predictive Structure to Thermal Conductivity Modeling Framework for BEOL Interconnect Stacks in Advanced Technology Nodes Enabled by Extensive Layer Resolved Thermal Measurements
Zifeng Huang, Yiyang Sun, Tianyu Jia et al.
Plasmons in twisted bilayer graphene across dispersive and flat bands
Antonio Palamara, Michele Pisarra, Antonello Sindona
Highly uniform first-electron position in qubit arrays fabricated on dedicated QSOI(R) 300mm commercial platform
Johan Pelloux-Prayer, Elise Prin, Giselle A. Elbaz et al.