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Energy levels of screened charged impurity in gapped graphene under magnetic field
Andrii Iurov, V. P. Gusynin
In this paper, we present a comprehensive theoretical study of the electronic states in gapped graphene in the presence of a charge impurity and a magnetic field. We focus on the i…
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…
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…
Zigzag edge states in graphene in the presence of in-plane electric field
A. A. Herasymchuk, S. G. Sharapov, V. P. Gusynin
The present study explores the edge states in a finite-width graphene ribbon and a semi-infinite geometry subject to a perpendicular magnetic field and an in-plane electric field,…
Landau level collapse in graphene in the presence of in-plane radial electric and perpendicular magnetic fields
I. O. Nimyi, V. Könye, S. G. Sharapov +1
It is known that in two-dimensional relativistic Dirac systems placed in orthogonal uniform magnetic and electric fields, the Landau levels collapse as the applied in-plane electri…
Genesis and fading away of persistent currents in a Corbino disk geometry
Y. Yerin, V. P. Gusynin, S. G. Sharapov +1
The detailed analytical and numerical analysis of the electron spectrum, persistent currents, and their densities for an annulus placed in a constant magnetic field (Corbino disk g…
Entropy Signatures of Topological Phase Transitions
Y. M. Galperin, D. Grassano, V. P. Gusynin +5
We review the behavior of the entropy per particle in various two-dimensional electronic systems. The entropy per particle is an important characteristic of any many body system th…
Detection of topological phase transitions through entropy measurements: the case of germanene
D. Grassano, O. Pulci, V. O. Shubnyi +4
We propose a characterization tool for studies of the band structure of new materials promising for the observation of topological phase transitions. We show that a specific resona…
Entropy per particle spikes in the transition metal dichalcogenides
V. O. Shubnyi, V. P. Gusynin, S. G. Sharapov +1
We derive a general expression for the entropy per particle as a function of chemical potential, temperature and gap magnitude for the single layer transition metal dichalcogenides…
Entropy spikes as a signature of Lifshitz transitions in the Dirac materials
V. Yu. Tsaran, A. V. Kavokin, S. G. Sharapov +2
We demonstrate theoretically that the characteristic feature of a 2D system undergoing consequent Lifshitz topological transitions is the occurrence of spikes of entropy per pa…
Screening of a charged impurity in graphene in a magnetic field
O. O. Sobol, P. K. Pyatkovskiy, E. V. Gorbar +1
The electron states in the field of a charged impurity in graphene in a magnetic field are studied numerically. It is shown that a charged impurity removes the degeneracy of Landau…
Transport properties of AB stacked (Bernal) bilayer graphene on and without substrate within 2- and 4-band approximations
V. P. Gusynin, S. G. Sharapov, A. A. Reshetnyak
We present the results of the calculations of longitudinal and Hall conductivities of AB-stacked bilayer graphene as a function of frequency, finite chemical potential, temperature…
Anomalous thermospin effect in the low-buckled Dirac materials
V. P. Gusynin, S. G. Sharapov, A. A. Varlamov
A strong spin Nernst effect with nontrivial dependences on the carrier concentration and electric field applied is expected in silicene and other low-buckled Dirac materials. These…
Supercritical instability in graphene with two charged impurities
E. V. Gorbar, V. P. Gusynin, O. O. Sobol
We study the supercritical instability in gapped graphene with two charged impurities separated by distance R using the two-dimensional Dirac equation for electron quasiparticles.…
Broken-symmetry quantum Hall states in bilayer graphene: Landau level mixing and dynamical screening
E. V. Gorbar, V. P. Gusynin, V. A. Miransky +1
For bilayer graphene in a magnetic field at the neutral point, we derive and solve a full set of gap equations including all Landau levels and taking into account the dynamically s…
Coulomb interaction and magnetic catalysis in the quantum Hall effect in graphene
E. V. Gorbar, V. P. Gusynin, V. A. Miransky +1
The dynamics of symmetry breaking responsible for lifting the degeneracy of the Landau levels in the integer quantum Hall effect in graphene is studied in a low-energy model with t…
Edge states, mass and spin gaps, and quantum Hall effect in graphene
V. P. Gusynin, V. A. Miransky, S. G. Sharapov +1
Motivated by recent experiments and a theoretical analysis of the gap equation for the propagator of Dirac quasiparticles, we assume that the physics underlying the recently observ…
Dynamics in the quantum Hall effect and the phase diagram of graphene
E. V. Gorbar, V. P. Gusynin, V. A. Miransky +1
The dynamics responsible for lifting the degeneracy of the Landau levels in the quantum Hall (QH) effect in graphene is studied by utilizing a low-energy effective model with a con…
Edge states on graphene ribbon in magnetic field: interplay between Dirac and ferromagnetic-like gaps
V. P. Gusynin, V. A. Miransky, S. G. Sharapov +2
By combining analytic and numerical methods, edge states on a finite width graphene ribbon in a magnetic field are studied in the framework of low-energy effective theory that take…
Toward theory of quantum Hall effect in graphene
E. V. Gorbar, V. P. Gusynin, V. A. Miransky
We analyze a gap equation for the propagator of Dirac quasiparticles and conclude that in graphene in a magnetic field, the order parameters connected with the quantum Hall ferroma…
Magneto-optical conductivity in Graphene
V. P. Gusynin, S. G. Sharapov, J. P. Carbotte
Landau level quantization in graphene reflects the Dirac nature of its quasiparticles and has been found to exhibit an unusual integer quantum Hall effect. In particular the lowest…
Sum Rules for the Optical and Hall Conductivity in Graphene
V. P. Gusynin, S. G. Sharapov, J. P. Carbotte
Graphene has two atoms per unit cell with quasiparticles exhibiting the Dirac-like behavior. These properties lead to interband in addition to intraband optical transitions and mod…