arXiv subjects

H. V. Grushevskaya

Publications and source records attributed to H. V. Grushevskaya.

9 recordsLinked to original sources

arXiv2026

Majorana-like fermion physics: Emergence of topologically protected vortical states in graphene interacting with an electromagnetic field

Within the framework of a quasi-relativistic model of graphene that admits topologically nontrivial Majorana-like quasiparticle excitations, appearance of such vortex states in the frequency dependencies of the complex dielectric permittivity of the system subjected to an external electromagnetic field has been examined. The vortex graphene states possess topological charges (flavours ) being nonzero Zak phases. Interaction effects of Majorana-like modes have been qualitatively related to the formation of Fano resonances in the optical response. The constructed topological model of graphene may be considered as a toy model of three-flavour mass-neutrino oscillations.

cond-mat.mes-hall↗

arXiv2021

On Resonant Scattering States in Graphene Circular Quantum Dots

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 the attempt to describe these states within the framework of the Dirac pseudo-fermion model for circular dot. We demonstrate explicitly that introduced earlier the so called "resonance condition" corresponds to inconsistent system of linear equations obtained from matching conditions on the boundary of the quantum dot when one try to use it for complex energy values and to the case of total reflection for the energies coincided with the potential well top.

cond-mat.mes-hall↗

arXiv2017

Geometrothermodynamics of a gravitating system with axially symmetric metric

Theory of the first-order phase transition in contact statistical manifold has been proposed to describe interface systems. The theory has not limitations of known Van der Waals-like phase transitions theories. Based on this approach, geometrothermodynamics of gravitating systems with axially symmetric metric is investigated. It has been shown that such geometrothermodynamics occurs in space-ti,e with Newman-Unti-Tamburino metric.

gr-qc↗

arXiv2015

Multiple-relaxation-time Finsler-Lagrange dynamics in a compressed Langmuir monolayer

In this paper an information geometric approach has been proposed to describe the two-dimensional (2d) phase transition of the first order in a monomolecular layer (monolayer) of amphiphilic molecules deposited on air/water interface. The structurization of the monolayer was simulated as an entropy evolution of a statistical set of microscopic states with a large number of relaxation times. The electrocapillary forces are considered as information constraints on the statistical manifold. The solution curves of Euler-Lagrange equations and the Jacobi field equations point out contracting pencils of geodesic trajectories on the statistical manifold, which may change into spreading ones, and converse. It was shown that the information geometrodynamics of the first-order phase transition in the Langmuir monolayer finds an appropriate realization within the Finsler-Lagrange framework.

cond-mat.soft↗

arXiv2015

Enhancement of Raman Light Scattering in Dye-Labeled Rat Glioma Cells by Langmuir-Blodgett CNT-Bundles Arranged on Metal-Containing Conducting Polymer Film

We have fabricated layered nanocomposite consisting of a nanoporous anodic alumina sublayer (AOA), an ultrathin metal-containing polymer Langmuir-Blodgett (LB) film coating AOA, and multi-walled carbon nanotube (MCNT) - bundles which are arranged on the LB-film. MCNTs were preliminarily chemically modified by carboxyl groups and functionalized by stearic acid. We have experimentally observed an enhancement of Raman light scattering on surface plasmons in the LB-monolayers. This enhancement is due to charge and energy transfer. We demonstrate that propidium iodide (PI) fluorescence is quenched by the MCNT-bundles. A method of two-dimensional system imaging based on the MCNT-enhanced Raman spectroscopy has been proposed. This method has been applied to visualize focal adhesion sites on membranes of living PI-labeled rat glioma cells.

physics.optics↗

arXiv2013

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

Application of secondary quantized self-consistent Dirac -- Hartree -- Fock approach to consider electronic properties of monolayer graphene with accounting of spin-polarized states allows to coherently explain experimental results on energy band minigaps and charge carrier asymmetry in graphene, propose a description of valent and conduction zones shifts and gives a nice theoretical estimation of electron and holes cyclotron masses which is in very good agreement with known experimental data.

cond-mat.mes-hall↗

arXiv2012

Finsler geometrization of classic theory for fields on the interphase boundary including monomolecular 2D-system

We prove that the Ricci scalar curvature and the Berwald scalar curvature of a two-dimensional Finsler space, considered over a vector field on the 3-dimensional flat space, are naturally related to 2-dimensional electro-capillary phenomena effects observed for a compressed monolayer. The Cartan tensor and the nonlinear Barthel connection of the Finsler model are determined, and the geometric objects which depend on compression speed and on the characteristics of the electrically charged double layer are used in order to reveal several classes of structure formation within the phase transition of the first order.

math-ph↗

arXiv2012

Jet theoretical Yang-Mills energy in the geometric dynamics of 2D-monolayer

Langmuir-Blodgett films (LB-films) consist from few LB-monolayers which are high structured nanomaterials that are very promising materials for applications. We use a geometrical approach to describe structurization into LB-monolayers. Consequently, we develop on the 1-jet space J^1([0,\infty),R^2) the single-time Lagrange geometry (in the sense of distinguished (d-) connection, d-torsions and an abstract anisotropic electromagnetic-like d-field) for the Lagrangian governing the 2D-motion of a particle of monolayer. One assumed that an expansion near singular points for the constructed geometrical Lagrangian theory describe phase transitions to LB-monolayer. Trajectories of particles in a field of the electrocapillarity forces of monolayer have been calculated in a resonant approximation utilizing some Jacobi equations. A jet geometrical Yang-Mills energy is introduced and some physical interpretations are given.

math-ph↗

arXiv2006

Relativistic invariant projectors on a complex spinor space and a rule of polarizations summation in a complex bispinor space

Relativistic invariant projectors of states in a complex bispinor space on a complex spinor space are constructed. An expression for sections of bundle with connection on group SU(4) in an explicit form has been obtained. Within the framework of the proposed geometrical approach the rule of summation over polarizations of states in a complex bispinor space has been derived. It has been shown that states in a complex bispinor space always describe a pair of Dirac's particles.

quant-ph↗