4 papers
Nodal structure of bound-state wave functions for systems with quartic dispersion
E. V. Gorbar, B. E. Grinyuk, V. P. Gusynin
The nodal structure of bound-state wave functions for one-dimensional quantum systems with quartic energy-momentum dispersion and polynomial potentials is analysed by using the sem…
Bound states of quasiparticles with quartic dispersion in an external potential: WKB approach
E. V. Gorbar, V. P. Gusynin
The Wentzel-Kramers-Brillouin semiclassical method is formulated for quasiparticles with quartic-in-momentum dispersion which presents the simplest case of a soft energy-momentum d…
RKKY quadratic and biquadratic spin-spin interactions in twisted bilayer graphene
D. O. Oriekhov, T. T. Osterholt, R. A. Duine +1
We study the competition between the RKKY quadratic and biquadratic spin-spin interactions of two magnetic impurities in twisted bilayer graphene away from the magic angle. We appl…
WKB energy levels in gapped graphene under crossed electromagnetic fields
I. O. Nimyi, S. G. Sharapov, V. P. Gusynin
We consider a single layer of graphene subjected to a magnetic field applied perpendicular to the layer and an in-plane constant radial electric field . The Dirac equation f…