output
20032022
most citedInfluence of the Constant Electric Field on the Mutual Rectification of the Electromagnetic Waves in Graphene Superlattice

33 citations

15 papers

math-ph2022

Breather solution of non-linear Klein-Gordon equation

D. V. Zav'yalov, V. I. Konchenkov, S. V. Kryuchkov

A technique for obtaining an approximate breather solution of the Klein-Gordon equation is presented. A breather solution of the equation describing the propagation of nonlinear wa…

math.NT2018

Consecutive positive integers with the same number of divisors

Vasilii A. Dziubenko, Vladimir A. Letsko

We establish new upper bounds for the length of runs of consecutive positive integers each with exactly divisors, where is a given positive integer of some special forms. A…

cond-mat.mes-hall2018

On the plasmon dispersion in biased graphene bilayer

E. I. Kukhar, S. V. Kryuchkov

Plasma oscillations in doped graphene bilayer at zero temperature has been investigated. Bias voltage effect on the dispersion curve for plasmon in bigraphene has been studied in r…

cond-mat.mes-hall2016★ 33 cited

Influence of the Constant Electric Field on the Mutual Rectification of the Electromagnetic Waves in Graphene Superlattice

Sergei V. Kryuchkov, Egor I. Kukhar

In tight binding approximation the explicit form of the electron energy in graphene superlattice was derived. The possibility of propagation of the cnoidal waves in graphene superl…

cond-mat.mes-hall2014

Influence of constant electric field on circular photogalvanic effect in material with Rashba Hamiltonian

V. I. Konchenkov, S. V. Kryuchkov, D. V. Zav'yalov

An appearance of a direct current perpendicularly to a constant component of an electric field in material with Rashba Hamiltonian under the influence of an elliptically polarized…

cond-mat.mes-hall2012★ 10 cited

Conductance enhancement due to atomic potential fluctuations in graphene

Dima Bolmatov, D. V. Zavialov

We solve the Dirac equation, which describes charge massless chiral relativistic carriers in a two-dimensional graphene. We have identified and analysed a novel pseudospin-dependen…