30 citations · 58 across the 12 of their papers we have counts for
12 papers
One-dimensional relativistic hydrogen-like atom in Dirac materials: Energy spectra and supercritical states
S. Z. Rakhmanov, K. P. Matchonov, A. K. Rakhimov +1
We consider a model of 1D relativistic hydrogen-like atom, formed by a Coulomb impurity in graphene nanoribbon. Describing the electron motion in terms of the one-dimensional Dirac…
Optical high harmonic generation in Dirac materials
S. Rakhmanov, K. Matchonov, H. Yusupov +2
We study high-order harmonic generation by optically driven one- and two-dimensional hydrogenlike atoms formed by Coulomb imurities in graphene. The time-dependent Dirac equations…
Coulomb impurities in graphene driven by fast ions
Saparboy Rakhmanov, Reinhold Egger, Doniyor Jumanazarov +1
We provide a theoretical model for electronic transitions in a two-dimensional (2D) artificial atom in a graphene monolayer. The artificial atom is due to the presence of a charged…
PT-symmetric dynamical confinement: Fermi acceleration, quantum force and Berry phase
S. Rakhmanov, C. Trunk, M. Znojil +1
We consider a quantum particle under the dynamical confinement caused by PT-symmetric box with a moving wall. The latter is described in terms of the time-dependent Schrödinger equ…
Dirac particle under dynamical confinement: Fermi acceleration, trembling motion and quantum force
J. Dittrich, S. Rakhmanov, D. Matrasulov
Quantum dynamics of a Dirac particle in a 1D box with moving wall is studied. Dirac equation with time-dependent boundary condition is mapped onto that with static one, but with ti…
Coulomb impurities in graphene driven by ultrashort electromagnetic pulses: Excitation, ionization, and pair creation
Saparboy Rakhmanov, Reinhold Egger, Davron Matrasulov
We provide a theory for electronic transitions induced by ultrashort electromagnetic pulses in two-dimensional artificial relativistic atoms which are created by a charged impurity…