Nonperturbative solution for BLOCH electrons in constant magnetic fields.

Spectrum of 2D Bloch electrons in a periodic magnetic field : algebraic approach

An algebraic semi-classical approach to Bloch electrons in a magnetic field

Nonlinear response of Bloch electrons in infinite dimensions

The nonlinear response of noninteracting sBlochd electrons is examined within a nonequilibrium formalism on the infinite-dimensional hypercubic lattice. We examine the effects of a spatially uniform, but time-varying electric field signoring magnetic-field effectsd. The electronic Green’s functions, Wigner density of states, and time-varying current are all determined and analyzed. We study bot...

Wannier Functions for Lattices in a Magnetic Field Ii: Extension to Irrational Fields

This paper extends earlier work on the definition of Wannier functions for Bloch electrons in a magnetic field. Extensions to irrational as well as rational magnetic fields are defined, and their properties investigated. The results are used to give a generalisation of the Peierls effective Hamiltonian which is valid when the magnetic flux per unit cell is close to any rational number. * Addres...

OFFPRINT Photoproduction in semiconductors by onset of magnetic field

The energy bands of a semiconductor are lowered by an external magnetic field. When a field is switched on, the straight-line trajectories near the top of the occupied valence band are curved into Landau orbits and Bremsstrahlung is emitted until the electrons have settled in their final Fermi distribution. We calculate the radiated energy, which should be experimentally detectable, and suggest...