Mahmoud Lababidi

Microscopic simulation of superconductor-topological insulator proximity structures

We present microscopic, self-consistent calculations of the superconducting order parameter and pairing correlations near the interface of an

Nearly flat Andreev bound states in superconductor-topological insulator hybrid structures

s

Counter-propagating edge modes and topological phases of a kicked quantum Hall system.

-wave superconductor and a three-dimensional topological insulator with spin-orbit coupling. We discuss the suppression of the order parameter by the topological insulator and show that the equal-time pair correlation functions in the triplet channel, induced by spin-flip scattering at the interface, are of

Mott scattering at the interface between a metal and a topological insulator

p_x\pm i p_y

Periodically driven cold fermions in integer Quantum Hall regime

symmetry. We verify that the spectrum at sub-gap energies is well described by the Fu-Kane model. The sub-gap modes are viewed as interface states with spectral weight penetrating well into the superconductor. We extract the phenomenological parameters of the Fu-Kane model from microscopic calculations, and find they are strongly renormalized from the bulk material parameters. This is consistent with previous results of Stanescu et al for a lattice model using perturbation theory in the tunneling limit.

Anomalous edge states and topological phases of a kicked quantum Hall system

Exotic excitations arise at the interface between a three-dimensional topological insulator (TI) and superconductors. For example, Majorana fermions with a linear dispersion,

Self-consistent Study of Majorana Fermions on a Topological Insulator Surface

E\sim k

\pi

, exist in a short

Junction

\pi

Spin active scattering at the interface between a metal and a topological insulator

Josephson junction on the TI surface. We show that in these systems, the Andreev bound states spectrum becomes nearly flat at zero energy when the chemical potential is sufficiently away from the Dirac point. The flat dispersion is well approximated by