Tunneling through one-dimensional piecewise-constant potential barriers

Chiral tunneling through generic one-dimensional potential barriers in bilayer graphene

Büttiker–Landauer tunneling time through one-dimensional barriers of arbitrary shape

A convenient formalism, based on the surface Green’s functions is developed that allows one to obtain a general expression for the Büttiker–Landauer tunneling time through onedimensional barriers of arbitrary shape. It is shown that transmission, reflection and dwell times can be expressed in terms of the scattering-matrix elements. Although the results are based on the Larmor clock approach, t...

Chaos-assisted instanton tunneling in one-dimensional perturbed periodic potential.

For the system with a one-dimensional spatially periodic potential we demonstrate that small periodic in-time perturbation results in the appearance of chaotic instanton solutions. We estimate the parameter of local instability, the width of the stochastic layer, and the correlator for perturbed instanton solutions. The application of the instanton technique enables us to calculate the amplitud...

Resonant tunneling through traps in Schottky barriers

2014 The authors present a theoretical treatment of the resonant tunneling phenomenon in Schottky barriers including deep traps whose potentials are represented by Dirac 03B4 functions. It is shown that in this case the quantum treatment of the tunneling effect leads to exactly the same result as that obtained when applying a more phenomenological formulation of the problem similar to the one u...

Piecewise Constant Controlled Linear Fuzzy Systems