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110 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…
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…
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…
Reduced QED with few planes and fermion gap generation
E. V. Gorbar, V. P. Gusynin, M. R. Parymuda
The formalism of reduced quantum electrodynamics is generalized to the case of heterostructures composed of few atomically thick layers and the corresponding effective (2+1)-dimens…
Peculiarities of the Landau level collapse in graphene ribbons in crossed magnetic and in-plane electric fields
A. A. Herasymchuk, S. G. Sharapov, V. P. Gusynin
Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously und…
Electron binding energy of a donor in bilayer graphene with gate-tunable gap
E. V. Gorbar, V. P. Gusynin, D. O. Oriekhov +1
In gapped bilayer graphene, similarly to conventional semiconductors, Coulomb impurities (such as nitrogen donors) may determine the activation energy of its conductivity and provi…