Exact electromagnetic response of Landau level electrons

The Electromagnetic Interactions of Electrons in the Lowest Landau Level

Starting from a system of planar electrons in a strong magnetic field normal to the plane, interacting with perturbing electromagnetic fields, an effective Lagrangian for the fermions in the lowest Landau level (L.L.L.) has been derived. By choosing a suitable background electrostatic potential, an incompressible droplet of these electrons is constructed. The gauge invariant effective Lagrangia...

Landau level spectrum of Bloch electrons in a honeycomb lattice

2014 The energy spectrum of a tight-binding honeycomb lattice in the presence of a uniform magnetic field is analysed. The graph of the spectrum over a wide range of rational reduced flux 03A6/03A60 through elementary hexagonal cells is plotted. The energy spectrum is found to have recursive properties similar to those discussed previously on the square and triangular lattices. New features of ...

Interacting electrons in graphene nanoribbons in the lowest Landau level

Neutrinos, Electrons and Muons in Electromagnetic Fields and Matter: the Method of Exact Solutions

We present a powerful method for exploring various processes in the presence of strong external fields and matter. The method implies utilization of the exact solutions of the modified Dirac equations which contain the effective potentials accounting for the influences of external electromagnetic fields and matter on particles. We briefly discuss the basics of the method and its applications to...

Electromagnetic radiation from bound electrons