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20002021
most citedOn one-dimensional Schroedinger problems allowing polynomial solutions

13 citations · 18 across the 12 of their papers we have counts for

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Showing cond-mat.mes-hallShow all

6 papers · 1 filter

cond-mat.mes-hall2021

Polarization in quasirelativistic graphene model with topologically non-trivial charge carriers

Halina Grushevskaya, George Krylov

Within the earlier developed high-energy--Hamiltonian approach to describe graphene-like materials, the simulations of band structure, non-Abelian Zak phases an…

cond-mat.mes-hall2021

On Resonant Scattering States in Graphene Circular Quantum Dots

H. V. Grushevskaya, G. G. Krylov

Due to effect of Klein tunneling two-dimensional graphene quantum dots do not possess genuine bound states but quasi-bound (resonant tunneling) states only. We discuss in detail th…

cond-mat.mes-hall2019

Vortex dynamics of charge carriers in the quasirelativistic graphene model : high-energy approximation

Halina V. Grushevskaya, George Krylov

Within the earlier developed high-energy--Hamiltonian approach to describe graphene-like materials the simulations of non-Abelian Zak phases and band structure…

cond-mat.mes-hall2017

Non-Abelian Charge Transport in Three-Flavor Gauge Semimetal Model with Braiding Majoranas

Halina V. Grushevskaya, George Krylov

Known Majorana fermions models are considered as promising ones for the purposes of quantum computing robust to decoherence. One of the most expecting but unachieved goals is an ef…

cond-mat.mes-hall2014★ 1 cited

Quasi-relativistic calculus of graphene monolayer minimal conductivity

Halina V. Grushevskaya, George Krylov

We introduce a quasi-relativistic theory of quantum transport in graphene monolayer. It is based on the Dirac -- Hartry -- Fock self-consistent field approximation, assumption on l…

cond-mat.mes-hall2013★ 3 cited

Electronic structure and transport in graphene: quasi-relativistic Dirac--Hartry--Fock self-consistent field approximation

H. V. Grushevskaya, G. G. Krylov

Application of secondary quantized self-consistent Dirac -- Hartree -- Fock approach to consider electronic properties of monolayer graphene with accounting of spin-polarized state…