Local density of states and level width for Wannier-Stark ladders

Local density of states and level width for Wannier-Stark ladders.

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 in ρ(x, E), with Lorentz type level widths and apparent spatial localization of the states. Our model is a chain of delta function potential barriers plus a staircase-like electric potential, with open boundary condi...

Stark-wannier Ladders and Cubic Exponential Sums

Wannier-Stark states of graphene in strong electric field

Hamed Koochaki Kelardeh,1 Vadym Apalkov,1 and Mark I. Stockman1,2,3 1Department of Physics and Astronomy, Georgia State University, Atlanta, Georgia 30303, USA 2Fakultät für Physik, Ludwig-Maximilians-Universität, Geschwister-Scholl-Platz 1, D-80539 München, Germany 3Max-Planck-Institut für Quantenoptik, Hans-Kopfermann-Strasse 1, D-85748 Garching, Germany (Received 11 June 2014; revised manusc...

Atomic Landau-Zener tunneling and Wannier-Stark ladders in optical potentials.

We calculate the quantum motion of ultracold atoms in an accelerating optical potential, and show how they may be used to observe Landau-Zener tunneling and Wannier-Stark ladders, two fundamental quantum effects in solid state physics. The optical potential is spatially periodic, yielding an energy spectrum of Bloch bands for the atoms. The acceleration provides an inertial force in the moving ...

Bloch oscillations, Zener tunneling, and Wannier-Stark ladders in the time domain.