4 papers
Berry phase, hyperorbits, and the Hofstadter spectrum: semiclassical dynamics in magnetic Bloch bands
M. C. Chang, Q. Niu
We have derived a new set of semiclassical equations for electrons in magnetic Bloch bands. The velocity and energy of magnetic Bloch electrons are found to be modified by the Berr…
Berry phase, hyperorbits, and the Hofstadter spectrum
M. C. Chang, Q. Niu
We develop a semiclassical theory for the dynamics of electrons in a magnetic Bloch band, where the Berry phase plays an important role. This theory, together with the Boltzmann eq…
Electron Band Structure in a Two Dimensional Periodic Magnetic Field
M. C. Chang, Q. Niu
In this paper we study the energy spectrum of a two dimensional electron gas (2DEG) in a two dimensional periodic magnetic field. Both a square magnetic lattice and a triangular on…
Local Density of States and Level Width for Wannier-Stark Ladders
M. C. Chang, Q. Niu
The local density of states ρ(x,E) is calculated for a Bloch electron in an electric field. Depending on the system size, we can see one or more sequences of Wannier-Stark ladders…