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A. V. Nikolaev

Publications and source records attributed to A. V. Nikolaev.

At least 37 records · Page 2Linked to original sources
arXiv2017

Exact solutions for scalar field cosmology in f(R) gravity

We look for exact solutions in scalar field cosmology. To achieve this we use $f(R)$ modified gravity with a scalar field and do not specify the the form of the $f(R)$ function. In particular, we study Friedmann universe assuming that acceleration of the scalar curvature is negligible. We first present solutions for special cases and then the general solution. Using initial conditions which represent the universe at the present epoch, we evaluated the constants of integration. This allows for the comparison of the scale factor in the new solutions with that of the $ΛCDM$ solution, thereby affecting the age of the universe in $f(R)$ gravity.

gr-qc↗
arXiv2016

Phonon assisted resonant tunnelling and its phonons control

We observe a series of sharp resonant features in the tunnelling differential conductance of InAs quantum dots. We found that dissipative quantum tunnelling has a strong influence on the operation of nano-devices. Because of such tunnelling the current-voltage characteristics of tunnel contact created between atomic force microscope tip and a surface of InAs/GaAs quantum dots display many interesting peaks. We found that the number, position, and heights of these peaks are associated with the phonon modes involved. To describe the found effect we use a quasi-classical approximation. There the tunnelling current is related to a creation of a dilute instanton-anti-instanton gas. Our experimental data are well described with exactly solvable model where one charged particle is weakly interacting with two promoting phonon modes associated with external medium. We conclude that the characteristics of the tunnel nanoelectronic devices can thus be controlled by a proper choice of phonons existing in materials, which are involved.

cond-mat.mes-hall↗
arXiv2016

Magnetic Bubble Domain Blowing with Electric Probe

The problem of bubble domain generation is revisited from a new perspective that was opened by recent findings in the field of physics of magnetic skyrmions. The single bubble domain can be generated under the tip electrode touching the surface of dielectric iron garnet film by positive step-like voltage pulse and its equilibrium size can be increased with further rising of electric potential. The theoretical analysis shows that the same mechanism can be used to stabilize the submicron bubbles topologically equivalent to the skyrmion.

cond-mat.str-el↗
arXiv2016

Magnetic hyperfine structure of the ground-state doublet in highly charged ions $^{229}$Th$^{89+,87+}$ and the Bohr-Weisskopf effect

The magnetic hyperfine (MHF) structure of the $5/2^+$(0.0 eV) ground state and the low-lying $3/2^+$(7.8 eV) isomeric state of the $^{229}$Th nucleus in highly charged ions Th$^{89+}$ and Th$^{87+}$ is calculated. The distribution of the nuclear magnetization (the Bohr-Weisskopf effect) is accounted for in the framework of the collective nuclear model with the wave functions of the Nilsson model for the unpaired neutron. The deviations of the MHF structure for the ground and isomeric states from their values in the model of point-like nuclear magnetic dipole are calculated. The influence of the mixing of the states with the same quantum number $F$ on the energy of sublevels is studied. Taking into account the mixing of states, the probabilities of the transitions between the components of MHF structure are found.

nucl-th↗
arXiv2015

Extension of the basis set of linearized augmented plane wave method (LAPW) by using supplemented tight binding basis functions

In order to increase the accuracy of the linearized augmented plane wave method (LAPW) we present a new approach where the plane wave basis function is augmented by two different atomic radial components constructed at two different linearization energies corresponding to two different electron bands (or energy windows). We demonstrate that this case can be reduced to the standard treatment within the LAPW paradigm where the usual basis set is enriched by the basis functions of the tight binding type, which go to zero with zero derivative at the sphere boundary. We show that the task is closely related with the problem of extended core states which is currently solved by applying the LAPW method with local orbitals (LAPW+LO). In comparison with LAPW+LO, the number of supplemented basis functions in our approach is doubled, which opens up a new channel for the extension of the LAPW and LAPW+LO basis sets. The appearance of new supplemented basis functions absent in the LAPW+LO treatment is closely related with the existence of the $\dot{u}_l-$component in the canonical LAPW method. We discuss properties of additional tight binding basis functions and apply the extended basis set for computation of electron energy bands of lanthanum (face and body centered structures) and hexagonal close packed lattice of cadmium. We demonstrate that the new treatment gives lower total energies in comparison with both canonical LAPW and LAPW+LO, with the energy difference more pronounced for intermediate and poor LAPW basis sets.

cond-mat.mtrl-sci↗
arXiv2014

Hyperfine field assessment of the magnetic structure of ZrZn2

Time differential perturbed angular gamma-gamma-correlation (TDPAC) method on 111Cd nuclei probes inserted in ZrZn1.9 is used to measure the magnetic hyperfine fields (MHF) at Zr and Zn sites and the electric field gradient (EFG) Vzz at Zn sites as a function of temperature at various pressures and as a function of pressure at the temperature 4 K. Our data indicate that the local magnetic moment of Zr in the magnetically ordered state is substantially larger than its value obtained from the macroscopic measurements and that there is also an induced magnetic moment at the Zn site. We conclude that ZrZn2 is not a simple ferromagnet and discuss a possible type of its magnetic ordering.

cond-mat.mtrl-sci↗
arXiv2013

Electric field induced magnetic domain wall tilting

The inclination of the magnetic domain wall plane in electric field is observed. The simple theoretical model of this phenomenon that takes into account the spin flexoelectricity is proposed. The value of electric polarization of the magnetic domain wall is estimated as 0.3μC/m^2 that agrees well with the results of electric field driven magnetic domain wall motion measurements.

cond-mat.str-el↗
arXiv2012

Theory of elastic anomalies at the gamma--alpha phase transition in solid Ce

Starting from a model of 4f-electron generated quadrupolar densities on a compressible fcc lattice, the elastic anomalies at the Fm3m -> Pa3 phase transition are studied by means of analytical theory. The model is taken as representative for the gamma-alpha phase transition in Ce. The coupling of the (linear) lattice displacements to the square of the quadrupolar orientational density fluctuations renormalizes the elastic constants. The condensation of the quadrupolar densities into the orientationally ordered Pa3 structure is studied as function of temperature and pressure. Precursor effects of the transition lead to an anomalous softening of the elastic constant c11 while c44 exhibits no such softening. The theoretical results are in excellent qualitative agreement with pressure experiments on the elastic constants (equivalently on sound velocities) at the $gamma-alpha transition in Ce. Lattice dynamical analogies in theory and striking similarities in experimental results with the Fm3m -> Pa3 transition in C60 fullerite are discussed.

cond-mat.mtrl-sci↗
arXiv2011

Low-lying energy spectrum of the cerium dimer

The electronic structure of Ce2 is studied in a valence bond model with two 4f electrons localized at two cerium sites. It is shown that the low-lying energy spectrum of the simplest cerium chemical bond is determined by peculiarities of the occupied 4f states. The model allows for an analytical solution which is discussed along with the numerical analysis. The energy spectrum is a result of the interplay between the 4f valence bond exchange, the 4f Coulomb repulsion and the spin-orbit coupling. The calculated ground state is the even Ω=Λ=Σ=0 level, the lowest excitations situated at 30 K are the odd Ω=Λ=Σ=0 state and the $^{3} 6_5$ doublet (Ω=\pm5,\, Λ=\pm6,\, Σ=\mp1). The calculated magnetic susceptibility displays different behavior at high and low temperatures. In the absence of the spin-orbit coupling the ground state is the ${}^3 Σ_g^-$ triplet. The results are compared with other many-electron calculations and experimental data.

cond-mat.mtrl-sci↗
arXiv2010

The gamma->alpha phase transition in cerium is not isostructural

Using a small amount of radioactive 111Cd atoms implanted in cerium lattice to probe the hyperfine electric quadrupole interaction, we have detected a quadrupole electron charge density component in alpha-Ce, which is absent in gamma-Ce. The appearance of the quadrupole density in alpha-Ce predicted by the quadrupole scenario of the phase transition demonstrates that the spacial symmetry is lowered at the gamma->alpha phase transition. This finding makes cerium the first element where the symmetry change is driven exclusively by the valence electron degrees of freedom while the atomic centers of mass (cerium nuclei) occupy the face centered cubic positions. We also report on nuclear quadrupole interactions in other high pressure phases of cerium: alpha' (C2/m space symmetry) and alpha' (alpha-U structure).

cond-mat.str-el↗
arXiv2010

Ferroelectricity of Neel-type magnetic domain walls

The chirality-dependent magnetoelectric properties of Neel-type domain walls in iron garnet films is observed. The electrically driven magnetic domain wall motion changes the direction to the opposite with the reversal of electric polarity of the probe and with the chirality switching of the domain wall from clockwise to counterclockwise. This proves that the origin of the electric field induced micromagnetic structure transformation is inhomogeneous magnetoelectric interaction.

cond-mat.mtrl-sci↗
arXiv2008

Electronic and transport properties of rectangular graphene macromolecules and zigzag carbon nanotubes of finite length

We study one dimensional (1D) carbon ribbons with the armchair edges and the zigzag carbon nanotubes and their counterparts with finite length (0D) in the framework of the Hückel model. We prove that a 1D carbon ribbon is metallic if its width (the number of carbon rings) is equal to $2+3n$. We show that the dispersion law (electron band energy) of a 1D metallic ribbon or a 1D metallic carbon nanotube has a universal {\it sin-}like dependence at the Fermi energy which is independent of its width. We find that in case of metallic graphene ribbons of finite length (rectangular graphene macromolecules) or nanotubes of finite length the discrete energy spectrum in the vicinity of $\varepsilon=0$ (Fermi energy) can be obtained exactly by selecting levels from the same dispersion law. In case of a semiconducting graphene macromolecule or a semiconducting nanotube of finite length the positions of energy levels around the energy gap can be approximated with a good accuracy. The electron spectrum of 0D carbon structures often include additional states at energy $\varepsilon=0$, which are localized on zigzag edges and do not contribute to the volume conductivity.

cond-mat.mes-hall↗
arXiv2008

Electric Field Induced Transformation of Magnetic Domain Structure in Magnetoelectric Iron Garnet Films

The room temperature magnetoelectric effect was observed in epitaxial iron garnet films that appeared as magnetic domain wall motion induced by electric field. The films grown on gadolinium-gallium garnet substrates with various crystallographic orientations were examined. The effect was observed in (210) and (110) films and was not observed in (111) films. Dynamic observation of the domain wall motion in 400 V voltage pulses gave the value of domain wall velocity in the range 30-50 m/s. The same velocity was achieved in magnetic field pulse about 50 Oe.

cond-mat.mtrl-sci↗
arXiv2007

Theoretical study of molecular electronic excitations and optical transitions of C60

We report results on ab initio calculations of excited states of the fullerene molecule by using configuration interaction (CI) approach with singly excited determinants (SCI). We have used both the experimental geometry and the one optimized by the density functional method and worked with basis sets at the cc-pVTZ and aug-cc-pVTZ level. Contrary to the early SCI semiempirical calculations, we find that two lowest $^1 T_{1u} \leftarrow {}^1 A_g$ electron optical lines are situated at relatively high energies of ~5.8 eV (214 nm) and ~6.3 eV (197 nm). These two lines originate from two $^1 T_{1u} \leftarrow {}^1 A_g$ transitions: from HOMO to (LUMO+1) ($6h_u \to 3t_{1g}$) and from (HOMO--1) to LUMO ($10h_g \to 7t_{1u}$). The lowest molecular excitation, which is the $1 ^3 T_{2g}$ level, is found at ~2.5 eV. Inclusion of doubly excited determinants (SDCI) leads only to minor corrections to this picture. We discuss possible assignment of absorption bands at energies smaller than 5.8 eV (or $λ$ larger than 214 nm).

cond-mat.str-el↗
arXiv2003

The structural phase transition and loss of magnetic moments in NpO2: ab initio approach to the crystal and mean field

We discuss the triple-$\vec{q}^X$ structures for the ordered cubic phase of NpO$_2$, which are $Pn{\bar 3}m$ and $Pa{\bar 3}$. A special care should be taken to discriminate between these two cases. We analyze the relevant structure-factor amplitudes and the effect of domains on resonant X-ray scattering experiments. We formulate the technique of multipole expansion of the Coulomb interaction and use it to study the crystal electric field and mean field for a number of neptunium many electron configurations ($5f^3$, $7s5f^3$, $7p5f^3$ and $6d5f^3$) on ab initio level. We have found that the crystal field is rather small (50-150 K). The direct quadrupole-quadrupole interaction between neighboring neptunium sites is weak and can not drive the structural phase transition at 25 K. We have introduced an effective (enhanced) quadrupole interaction and considered the interplay between it and the crystal electric field. The influence of both interactions on the transition temperature has been investigated in detail for the $5f^3$ configuration. We discuss the importance of the intrasite multipole interaction between three localized electrons ($5f^3$) and a valence electron on a neptunium site. We show that this interaction combined with the symmetry lowering at 25 K may be responsible for the loss of the magnetic moments in the ordered phase of NpO2.

cond-mat.str-el↗
arXiv2002

Theoretical model for the structural phase transition at the metal- insulator transition in polymerized KC60

The recently discovered structural transition in polymerized KC60 at about 50 K results in a doubling of the unit cell volume and accompanies the metal-insulator transition. Here we show that the (a+c,b,a-c) superstructure results from small orientational charge density waves along the polymer chains and concomitant displacements of the surrounding K+ ions. The effect is specific for the space group Pmnn of KC60 and is absent in Rb- and CsC60 (space group I2/m). The mechanism is relevant for the metal-insulator transition.

cond-mat.mtrl-sci↗