3 papers
cond-mat.mes-hall2026
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…
nlin.SI2025
Burgers equation on networks: Metric graph based approach
K. K. Sabirov, Kh. Sh. Matyokubov, D. U. Matrasulov
Weconsider Burgers equation on metric graphs for simplest topologies such as star, loops, and tree graphs. Exact traveling wave solutions are obtained for the vertex boundary condi…
cond-mat.mes-hall2025
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…