37 citations · 83 across the 3 of their papers we have counts for
6 papers
Terahertz transitions in finite carbon chains
R. R. Hartmann, S. Kutrovskaya, A. Kucherik +2
We predict an optical effect associated with systems which exhibit topologically protected states separated by a finite distance. We develop a tight-binding model to calculate the…
Guided modes and terahertz transitions for two-dimensional Dirac fermions in a smooth double-well potential
R. R. Hartmann, M. E. Portnoi
The double-well problem for the two-dimensional Dirac equation is solved for a family of quasi-one-dimensional potentials in terms of confluent Heun functions. We demonstrate that…
Bipolar electron waveguides in graphene
R. R. Hartmann, M. E. Portnoi
We show analytically that the ability of Dirac materials to localize an electron in both a barrier and a well can be utilized to open a pseudo-gap in graphene's spectrum. By using…
Interband transitions in narrow-gap carbon nanotubes and graphene nanoribbons
R. R. Hartmann, V. A. Saroka, M. E. Portnoi
We use the robust nearest-neighbour tight-binding approximation to study on the same footing interband dipole transitions in narrow-bandgap carbon nanotubes and graphene nanoribbon…
Two-dimensional Dirac particles in a Pöschl-Teller waveguide
R. R. Hartmann, M. E. Portnoi
We obtain exact solutions to the two-dimensional (2D) Dirac equation for the one-dimensional Pöschl-Teller potential which contains an asymmetry term. The eigenfunctions are expres…
Pair states in one-dimensional Dirac systems
R. R. Hartmann, M. E. Portnoi
Analytic solutions of the quantum relativistic two-body problem are obtained for an interaction potential modeled as a one-dimensional smooth square well. Both stationary and movin…