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Coulomb-induced instabilities of nodal surfacesJul 24 2018Dec 14 2018We consider the stability of nodal surfaces in fermionic band systems with respect to the Coulomb repulsion. It is shown that nodal surfaces at the Fermi level are gapped out at low temperatures due to emergent particle-hole orders. Energy dispersion ... More

Overlapping hot spots and charge modulation in cupratesFeb 29 2016Particle-hole instabilities are studied within a two dimensional model of fermions interacting with antiferromagnetic spin fluctuations (spin-fermion model). In contrast to previous works, we assume that neighboring hot spots overlap due to a shallow ... More

Charge and current orders in the spin-fermion model with overlapping hot spotsFeb 02 2018Apr 26 2018Experiments carried over the last years on the underdoped cuprates have revealed a variety of symmetry-breaking phenomena in the pseudogap state. Charge-density waves, breaking of $C_{4}$ rotational symmetry as well as time-reversal symmetry breaking ... More

Spin-fermion model with overlapping hot spots and charge modulation in cupratesNov 04 2015Mar 01 2016We study particle-hole instabilities in the framework of the spin-fermion (SF) model. In contrast to previous studies, we assume that adjacent hot spots can overlap due to a shallow dispersion of the electron spectrum in the antinodal region. In addition, ... More

s+is superconductivity with incipient bands: doping dependence and STM signaturesApr 26 2017Jul 26 2017Motivated by the recent observations of small Fermi energies and comparatively large superconducting gaps, present also on bands not crossing the Fermi energy (incipient bands) in iron-based superconductors, we analyse the doping evolution of superconductivity ... More

Anisotropic superfluidity of two-dimensional excitons in a periodic potentialJun 30 2017We study anisotropies of helicity modulus, excitation spectrum, sound velocity and angle-resolved luminescence spectrum in a two-dimensional system of interacting excitons in a periodic potential. Analytical expressions for anisotropic corrections to ... More

Quasiparticle Interference and Symmetry of Superconducting Order Parameter in Strongly Electron-Doped Iron-based SuperconductorsMar 14 2019Motivated by recent experimental reports of significant spin-orbit coupling (SOC) and a sign-changing order-parameter in the Li$_{1-x}$Fe$_x$(OHFe)$_{1-y}$Zn$_y$Se superconductor with only electron pockets present, we study the possible Cooper-pairing ... More

Dynamics of Order Parameters near Stationary States in Superconductors with a Charge-Density WaveFeb 06 2014Jul 22 2014We consider a simple model of a quasi-one-dimensional conductor in which two order parameters (OP) may coexist, i.e., the superconducting OP $\Delta$ and the OP $W$ that characterizes the amplitude of a charge-density wave (CDW). In the mean field approximation ... More

P(l)aying for SynchronizationMay 10 2012Dec 05 2012Two topics are presented: synchronization games and synchronization costs. In a synchronization game on a deterministic finite automaton, there are two players, Alice and Bob, whose moves alternate. Alice wants to synchronize the given automaton, while ... More

Noncommutative HypergeometryDec 03 2003A certain special function of the generalized hypergeometric variety is shown to fulfill a host of useful noncommutative identities.

Comment on "Mesoscopic Superconducting-Normal Metal-Superconducting Transistor"Nov 13 1998Dec 02 1998Comment withdrawn. To be superseded by a subseqent paper.

Abelian Current Algebra and the Virasoro Algebra on the LatticeJul 07 1993We describe how a natural lattice analogue of the abelian current algebra combined with free discrete time dynamics gives rise to the lattice Virasoro algebra and corresponding hierarchy of conservation laws.

The decay $τ\rightarrow K^{0}K^{-}ν_τ$ in the extended Nambu-Jona-Lasinio modelMar 21 2016Nov 11 2016The full and differential widths of the decay $\tau \rightarrow K^{0}K^{-}\nu_{\tau}$ are calculated in the framework of the extended Nambu-Jona-Lasinio model. The contributions of the subprocesses with the intermediate vector mesons $\rho$(770) and $\rho$(1450) ... More

Water and Ice Dielectric Spectra Scaling at 0 °CAug 06 2013Dielectric spectra (10^4-10^11 Hz) of water and ice at 0 {\deg}C are considered in terms of proton conductivity and compared to each other. In this picture, the Debye relaxations, centered at 1/{\tau}_W ~ 20 GHz (in water) and 1/{\tau}_I ~ 5 kHz (in ice), ... More

Local-field excitations in 2D lattices of resonant atomsFeb 13 2010We study excitations of the local field (locsitons) in nanoscale two-dimensional (2D) lattices of strongly interacting resonant atoms and various unusual effects associated with them. Locsitons in low-dimensional systems and the resulting spatial strata ... More

Long-range thermoelectric effects in mesoscopic superconductor-normal metal structuresMay 06 2005We consider a mesoscopic four-terminal superconductor/normal metal (S/N) structure in the presence of a temperature gradient along the N wire. A thermoemf arises in this system even in the absence of the thermoelectric quasiparticle current if the phase ... More

Electronic and atomic kinetics in solids irradiated with free-electron lasers or swift-heavy ionsFeb 21 2017In this brief review we discuss the transient processes in solids under irradiation with femtosecond X-ray free-electron-laser (FEL) pulses and swift-heavy ions (SHI). Both kinds of irradiation produce highly excited electrons in a target on extremely ... More

Inductive groupoids and cross-connections of regular semigroupsApr 12 2018There are two major structure theorems for an arbitrary regular semigroup using categories, both due to Nambooripad. The first construction using inductive groupoids departs from the biordered set structure of a given regular semigroup. This approach ... More

The Tale of Two Categories: Inductive groupoids and Cross-connectionsJan 17 2019Jan 24 2019A groupoid is a small category in which all morphisms are isomorphisms. An inductive groupoid is a specialised groupoid whose object set is a regular biordered set and the morphisms admit a partial order. A normal category is a specialised small category ... More

Collective quantum coherent oscillations in a globally coupled array of qubitsMay 31 2013We report a theoretical study of coherent collective quantum dynamic effects in an array of N qubits (two-level systems) incorporated into a low-dissipation resonant cavity. Individual qubits are characterized by energy level differences $\Delta_i$ and ... More

Diffusion-Oscillatory Dynamics in Liquid Water on Data of Dielectric SpectroscopyJun 20 2016When analyzing the broadband absorption spectrum of liquid water (10^10 - 10^13 Hz), we find its relaxation-resonance features to be an indication of Frenkel's translation-oscillation motion of particles, which is fundamentally inherent to liquids. We ... More

Spin electron acoustic soliton: Separate spin evolution of electrons with exchange interactionApr 30 2015Aug 30 2015Separate spin evolution quantum hydrodynamics is generalized to include the Coulomb exchange interaction. The Coulomb exchange interaction is considered as the interaction between the spin-down electrons being in the quantum states occupied by one electron, ... More

Simultaneous dipole and quadrupole moment contribution in the Bogoliubov spectrum: Application of the non-integral Gross-Pitaevskii equationMay 30 2014Nov 04 2014We present the Gross-Pitaevskii equation for Bose-Einstein condensates (BECs) possessing the electric dipole and the electric quadrupole moments in a non-integral form. These equations are coupled with the Maxwell equations. The model under consideration ... More

Separated spin-up and spin-down quantum hydrodynamics of degenerated electrons: spin-electron acoustic wave appearanceMay 04 2014Quantum hydrodynamic (QHD) model of charged spin-1/2 particles contains physical quantities defined for all particles of a species including particles with spin-up and with spin-down. Different population of states with different spin direction is included ... More

First principles derivation of NLS equation for BEC with cubic and quintic nonlinearities at non zero temperature. Dispersion of linear wavesSep 05 2011In this work we presented a derivation of the quantum hydrodynamic equations for neutral bosons. We considered short range interaction between particles. This interaction consist binary interaction $U(\textbf{r}_{i},\textbf{r}_{j})$ and three particle ... More

Interaction-induced enhancement of $g$-factor in grapheneAug 02 2012We study the effect of electron interaction on the spin-splitting and the $g$-factor in graphene in perpendicular magnetic field using the Hartree and Hubbard approximations within the Thomas-Fermi model. We found that the $g$-factor is enhanced in comparison ... More

Low energy process $e^{+}e^{-} \rightarrow K^{+} K^{-}$ in the extended Nambu-Jona-Lasinio modelMar 25 2018In the extended Nambu-Jona-Lasinio model, the process of production of charged kaon pair on colliding electron-positron beams in the energy interval 1 - 1.7 GeV is described. In studying of this process, we take into account the contact terms when the ... More

Production of $ρ(770)$, $η$ pairs in the decays $ρ(1450)\rightarrow ρ(770)η$, $τ\rightarrow ρ(770)ην_τ$, and in the process of $e^{+}e^{-} \rightarrow ρ(770)η$ in the Extended Nambu - Jona-Lasinio modelNov 27 2017Production of $\rho(770)$, $\eta$ pairs at colliding of electron-positron beams and in the decays $\rho(1450)\rightarrow \rho(770)\eta$, $\tau\rightarrow \rho(770)\eta\nu_{\tau}$ is calculated in the framework of the Nambu - Jona-Lasinio model. In the ... More

Quasiclassical description of a superconductor with a spin density waveFeb 25 2011May 05 2011We derive equations for the quasiclassical Green's functions $\check{g}$ within a simple model of a two-band superconductor with a spin-density-wave (SDW). The elements of the matrix $\check{g}$ are the retarded, advanced, and Keldysh functions each of ... More

The tetraquark $K_{1}(1400)$ in the decays $τ\to [ω(782), φ(1020)] K^{-} ν_τ$Mar 02 2019In the extended Nambu--Jona-Lasinio model, the decay widths of the processes $\tau \to [\omega(782), \phi(1020)] K^{-} \nu_{\tau}$ were calculated. The intermediate strange quark-antiquark mesons in both the ground and the first radially excited states ... More

The ranks of central factor and commutator groupsApr 20 2012Apr 25 2012The Schur Theorem says that if $G$ is a group whose center $Z(G)$ has finite index $n$, then the order of the derived group $G'$ is finite and bounded by a number depending only on $n$. In the present paper we show that if $G$ is a finite group such that ... More

Sub-wavelength imaging at optical frequencies using canalization regimeSep 20 2005Oct 01 2005Imaging with sub-wavelength resolution using a lens formed by periodic metal-dielectric layered structure is demonstrated. The lens operates in canalization regime as a transmission device and it does not involve negative refraction and amplification ... More

Addendum: Virtually Free pro-$p$ groups whose Torsion Elements have finite CentralizerApr 28 2012We fill details in the proof of Lemma 13 in Bull.London.Math.Soc 40 (2008) (that is Lemma 3.2 in arXiv:0712.4244v1).

Disruption of Dwarf Satellite Galaxies without Dark MatterFeb 05 2011The evolution of a satellite galaxy of a Milky Way like galaxy has been studied using N-Body simulations. The initial satellites, containing one million particles, have been simulated by a Plummer sphere, while the potential of the host galaxy is a three ... More

Frequency and temporal entanglement of biphoton states in spontaneous parametric down conversion with a short-pulse pumpJan 04 2008Jul 12 2008Spectral and temporal coincidence and single-particle photon wave packets are described and their widths and durations are found. The degree of entanglement is characterized by the experimentally measurable parameter R defined as the ratio of the coincidence ... More

Superconducting phase coherent electron transport in proximity conical ferromagnetsNov 03 2005We report superconducting phase-periodic conductance oscillations in ferromagnetic wires with interfaces to conventional superconductors. The ferromagnetic wires were made of Ho, a conical ferromagnet. The distance between the interfaces was much larger ... More

Current-voltage characteristics and the zero-resistance state in a 2DEGMar 25 2003Jun 11 2003We study the current-voltage characteristics (CVC) of two-dimensional electron gases (2DEG) with microwave induced negative conductance in a magnetic field. We show that due to the Hall effect, strictly speaking there is no distinction between N- and ... More

Manifestation of triplet superconductivity in superconductor-ferromagnet structuresMar 26 2003Jul 08 2003We study proximity effects in a multilayered superconductor/ferromagnet (S/F) structure with arbitrary relative directions of the magnetization ${\bf M}$. If the magnetizations of different layers are collinear the superconducting condensate function ... More

Resistance of a domain wall in the quasiclassical approachAug 27 2002Nov 08 2002Starting from a simple microscopic model, we have derived a kinetic equation for the matrix distribution function. We employed this equation to calculate the conductance $G$ in a mesoscopic F'/F/F' structure with a domain wall (DW). In the limit of a ... More

Enhancement of the Josephson current by an exchange field in superconductor-ferromagnet structuresFeb 01 2001We calculate the dc Josephson current for two superconductor-ferromagnet (S/F) bilayers separated by a thin insulating film. It is demonstrated that the critical Josephson current $I_{c}$ in the junction strongly depends on the relative orientation of ... More

Long-range effects in superconductor-ferromagnet structuresNov 24 2000Mar 05 2001We analyze the proximity effect in a superconductor/ferromagnet (S/F) structure with a local inhomogeneity of the magnetization in the ferromagnet near the S/F interface. We demonstrate that not only the singlet but also the triplet component of the superconducting ... More

Electron-hole imbalance in superconductor-normal metal mesoscopic structuresJul 03 2002We analysed the electron-hole or, in another words, branch imbalance (BI) and the related electric potential $V_{imb}$ which may arise in a mesoscopic superconductor/normal metal (S/N) structure under non-equilibrium conditions in the presence of a supercurrent. ... More

Fluctuation Conductivity in Mesoscopic Superconductor - Normal Metal ContactsSep 11 1997The fluctuation conduction of NSN and SNS contacts above T_c are analyzed. For NSN contacts, both Aslamazov-Larkin and Maki- Thompson corrections to the conduction are found to be of the same order and diverge for T_c^* < T_c according to the law (T - ... More

Biphoton Double-Bell States and Ququarts with "Invisible" VariablesMay 12 2011We analyze features of mixed biphoton polarization states which arise from pure states of polarization-frequency biphoton ququarts after averaging over frequencies of photons. For mixed states we find their concurrence C, Schmidt parameter K and degree ... More

Peak Doubling in SPDC Coincidence Spectra with a Short-Pulse PumpDec 05 2011We describe a double-peak structure of the coincidence spectrum of biphoton states in the process of spontaneous parametric down-conversion with a pump having the form of short pulses. The effect is shown to arise owing to the obligatory symmetry of bihoton ... More

Gaussian modeling and Schmidt modes of SPDS biphoton statesJun 17 2009A double-Gaussian model and the Schmidt modes are found for the biphoton wave function characterizing spontaneous parametric down-conversion with the degenerate collinear phase-matching of the type I and with a pulsed pump. The obtained results are valid ... More

Charge and current orders in the spin-fermion model with overlapping hot spotsFeb 02 2018Experiments carried over the last years on the underdoped cuprates have revealed a variety of symmetry-breaking phenomena in the pseudogap state. Charge-density waves, breaking of $C_{4}$ rotational symmetry as well as time-reversal symmetry breaking ... More

Subtraction Procedure for Calculation of Anomalous Magnetic Moment of Electron in QED and its Application to Numerical Computation at 3-loop LevelJul 23 2015Jul 28 2016A new subtraction procedure for removal both ultraviolet and infrared divergences in Feynman integrals is proposed. This method is developed for computation of QED corrections to the electron anomalous magnetic moment. The procedure is formulated in the ... More

BV-differential on Hochschild cohomology of Frobenius algebrasMay 20 2014For a finite-dimensional Frobenius $k$-algebra $R$ with the Nakayama automorphism $\nu$ we define an algebra ${\rm HH}^*(R)^{\nu\uparrow}$. If the order of $\nu$ is not divisible by the characteristic of $k$, this algebra is isomorphic to the Hochschild ... More

Forest fires on $\Z_+$ with ignition only at 0Jul 10 2009Sep 15 2009We consider a version of the forest fire model on graph $G$, where each vertex of a graph becomes occupied with rate one. A fixed vertex $v_0$ is hit by lightning with the same rate, and when this occurs, the whole cluster of occupied vertices containing ... More

Levy Differential Operators and Gauge Invariant Equations for Dirac and Higgs FieldsDec 01 2016Jul 29 2018We study the Levy infinite-dimensional differential operators (differential operators defined by the analogy with the Levy Laplacian) and their relationship to the Yang-Mills equations. We consider the parallel transport on the space of curves as an infinite-dimensional ... More

A class of p-adic Galois representations arising from abelian varierties over Q_pMay 22 2003May 26 2003Let V be a p-adic representation of the absolute Galois group G of Q_p that becomes crystalline over a finite tame extension, and assume p odd. We provide necessary and sufficient conditions for V to be isomorphic to the Tate module V_p(A) of an abelian ... More

Random geometric subdivisionsDec 05 2011We study several models of random geometric subdivisions arising from the model of Diaconis and Miclo (2011). In particular, we show that the limiting shape of an indefinite subdivision of a quadrilateral is a.s.\ a parallelogram. We also show that the ... More

Non-equilibrium critical relaxation of the 3D Heisenberg magnets with long-range correlated disorderOct 04 2012Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical exponents are ... More

Nonperturbative Reduction of Yang-Mills Theory and Low Energy Effective ActionNov 12 1998Dec 12 1998The method of reduction of a non-Abelian gauge theory to the corresponding unconstrained system is exemplified for SU(2) Yang-Mills field theory. The reduced Hamiltonian which describes the dynamics of the gauge invariant variables is presented in the ... More

Optimum Branching Problem RevisitedNov 15 2006Given a digraph $G = (V_G, A_G)$, a \emph{branching} in $G$ is a set of arcs $B \subseteq A_G$ such that the underlying undirected graph spanned by $B$ is acyclic and each node in $G$ is entered (\emph{covered}) by at most one arc from $B$. Tarjan developed ... More

Comparative analysis of finite field-dependent BRST transformationsApr 11 2016Jul 21 2016We present a review of our recent study (A. Reshetnyak, IJMPA 29 (2014) 1450128; P. Moshin, A. Reshetnyak, Nucl. Phys. B 888 (2014) 92; Phys. Lett B 739 (2014) 110; IJMPA 29 (2014) 1450159; IJMPA 30 (2015) 1550021; IJMPA 31 (2016) 1650111), in which the ... More

Boundary conditions for interfaces of electromagnetic (photonic) crystals and generalized Ewald-Oseen extinction principleFeb 05 2004Oct 10 2005The problem of plane-wave diffraction on semi-infinite orthorhombic electromagnetic (photonic) crystals of general kind is considered. Boundary conditions are obtained in the form of infinite system of equations relating amplitudes of incident wave, eigenmodes ... More

Resolution of sub-wavelength lenses formed by the wire mediumNov 15 2005Mar 21 2006The restrictions on the resolution of transmission devices formed by wire media (arrays of conductive cylinders) recently proposed in [Phys. Rev. B, 71, 193105 (2005)] and experimentally tested in [Phys. Rev. B, 73, 033108 (2006)] are studied in this ... More

Representation-theoretic proof of the inner product and symmetry identities for MacDonald's polynomialsNov 30 1994This paper is a continuation of our papers [EK1, EK2]. In [EK2] we showed that for the root system A_n-1 one can obtain Macdonald's polynomials - a new interesting class of symmetric functions recently defined by I. Macdonald {M1] - as weighted traces ... More

Simple singularities of multigerms of curvesDec 06 2000We classify stably simple reducible curve singularities in complex spaces of any dimension. This extends the same classification of of irreducible curve singularities obtained by V.I.Arnold. The proof is essentially based on the method of complete transversals ... More

Finite BRST-antiBRST Transformations in Generalized Hamiltonian FormalismMay 29 2014Oct 15 2014We introduce the notion of finite BRST-antiBRST transformations for constrained dynamical systems in the generalized Hamiltonian formalism, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters and ... More

Field-Dependent BRST-antiBRST Lagrangian TransformationsJun 19 2014Oct 05 2014We continue our study of finite BRST-antiBRST transformations for general gauge theories in Lagrangian formalism, initiated in [arXiv:1405.0790[hep-th] and arXiv:1406.0179[hep-th]], with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters ... More

Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard ModelJun 15 2015Nov 05 2015We continue our research Nucl.Phys B888, 92 (2014); Int. J. Mod. Phys. A29, 1450159 (2014); Phys. Lett. B739, 110 (2014); Int. J. Mod. Phys. A30, 1550021 (2015) and extend the class of finite BRST-antiBRST transformations with odd-valued parameters $\lambda_{a}$, ... More

Natural differential operations on manifolds: an algebraic approachJul 04 2006We consider natural algebraic differential operations acting on geometric quantities over smooth manifolds. We introduce a method of study and classification of such operations, called IT-reduction. It reduces the study of natural operations to the study ... More

Reduction of superintegrable systems: the anisotropic harmonic oscillatorJul 07 2008Sep 25 2008We introduce a new 2N--parametric family of maximally superintegrable systems in N dimensions, obtained as a reduction of an anisotropic harmonic oscillator in a 2N--dimensional configuration space. These systems possess closed bounded orbits and integrals ... More

Unconstrained Hamiltonian Formulation of SU(2) GluodynamicsAug 17 1998Feb 11 1999SU(2) Yang-Mills field theory is considered in the framework of the generalized Hamiltonian approach and the equivalent unconstrained system is obtained using the method of Hamiltonian reduction. A canonical transformation to a set of adapted coordinates ... More

On the Infrared Limit of Unconstrained SU(2) Yang-Mills TheoryAug 14 1998Dec 15 1998The variables appropriate for the infrared limit of unconstrained SU(2) Yang-Mills field theory are obtained in the Hamiltonian formalism. It is shown how in the infrared limit an effective nonlinear sigma model type Lagrangian can be derived which out ... More

Field-dependent BRST-antiBRST Transformations in Yang-Mills and Gribov-Zwanziger TheoriesMay 05 2014Sep 14 2014We introduce the notion of finite BRST-antiBRST transformations, both global and field-dependent, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting Grassmann parameters and find explicit Jacobians corresponding to these changes of variables in Yang--Mills ... More

Elliptic Central Characters and Blocks of Finite Dimensional Representations of Quantum Affine AlgebrasApr 24 2002The category of finite dimensional (type 1) representations of a quantum affine algebra $U_q(\hat{{\mathfrak g}})$ is not semisimple. However, as any abelian category with finite-length objects, it admits a unique decomposition into a direct sum of indecomposable ... More

Representing systems of dilations and translations in symmetric spacesMar 17 2019Let $X$ be an arbitrary separable symmetric space on $[0,1]$. By using a combination of the frame approach and the notion of the multiplicator space $\mathscr{M}(X)$ of $X$ with respect to the tensor product, we investigate the problem when the sequence ... More

Gaze-based, Context-aware Robotic System for Assisted Reaching and GraspingSep 21 2018Mar 06 2019Assistive robotic systems endeavour to support those with movement disabilities, enabling them to move again and regain functionality. Main issue with these systems is the complexity of their low-level control, and how to translate this to simpler, higher ... More

Finite BRST-antiBRST Transformations for the Theories with Gauge GroupNov 30 2014Following our recent study [P.Yu. Moshin, A.A. Reshetnyak, Nucl. Phys. B 888 (2014) 92], we discuss the notion of finite BRST-antiBRST transformations, with a doublet $\lambda_{a}$, $a=1,2$, of anticommuting (both global and field-dependent) Grassmann ... More

Anomalous behaviour of S/N mesoscopic structures near T_cJun 24 1999Nov 04 1999We observe a maximum in the conductance of Aluminum / n-GaAs junctions at temperatures 20 mK lower than the superconducting transition temperature. This is the first observation of a non- monotonic behavior of the conductance near the superconducting ... More

Negative Magnetoresistance of Bi_2Sr_2CuO_x Single Crystals in a Strong Magnetic FieldsJun 16 1999Magnetoresistance (MR) in the out-of-plane resistivity $\rho_c$ for the normal state of the one-layer high-quality Bi_2Sr_2CuO_x single crystals under various dc magnetic fields up to 28 T over the temperature region 6-100 K has been measured. We observed ... More

Potential splitting approach to multichannel Coulomb scattering: the driven Schrödinger equation formulationFeb 02 2011In this paper we suggest a new approach for the multichannel Coulomb scattering problem. The Schr\"{o}dinger equation for the problem is reformulated in the form of a set of inhomogeneous equations with a finite-range driving term. The boundary conditions ... More

Direct characterization of plasmonic slot waveguides and nanocouplersSep 20 2016We demonstrate the use of amplitude- and phase-resolved near-field mapping for direct characterization of plasmonic slot waveguide mode propagation and excitation with nanocouplers in the telecom wavelength range. We measure mode's propagation length, ... More

Dephasing of conduction electrons by magnetic impurities in Cu/Ni and Cu/Cr samples: Influence of spin-glass transition on the superconducting proximity effectSep 05 2006The dependence of the superconducting proximity effect on the amount of magnetic impurities in the normal part of Andreev interferometers has been studied experimentally. The dephasing rates obtained from fitting experimental data to quasiclassical theory ... More

Pion Polarizability in the NJL model and Possibilities of its Experimental Studies in Coulomb Nuclear ScatteringJul 06 2009The charge pion polarizability is calculated in the Nambu-Jona-Lasinio model, where the quark loops (in the mean field approximation) and the meson loops (in the $1/N_c$ approximation) are taken into account. We show that quark loop contribution dominates, ... More

Thermodynamics and equilibrium structure of Ne_38 cluster: Quantum Mechanics versus ClassicalAug 09 2005The equilibrium properties of classical LJ_38 versus quantum Ne_38 Lennard-Jones clusters are investigated. The quantum simulations use both the Path-Integral Monte-Carlo (PIMC) and the recently developed Variational-Gaussian-Wavepacket Monte-Carlo (VGW-MC) ... More

On a mechanism of high-temperature superconductivity: Spin-electron acoustic wave as a mechanism for the Cooper pair formationJul 12 2015Oct 12 2015We have found the mechanism of the electron Cooper pair formation via the electron interaction by means of the spin-electron acoustic waves. This mechanism takes place in metals with rather high spin polarization, like ferromagnetic, ferrimagnetic and ... More

Langmuir wave filamentation in the kinetic regimeOct 19 2016Nonlinear Langmuir wave in the kinetic regime $k\lambda_D\gtrsim0.2$ has a transverse instability, where $k$ is the wavenumber and $\lambda_D$ is the Debye length. The nonlinear stage of that instability development leads to the filamentation of Langmuir ... More

On a consistent macroscopic description for a spin quantum plasma with interparticle interactionsApr 21 2013Quantum mechanical averaging of the particle concentration operator is an effective starting point for derivation of the many-particle quantum hydrodynamic equations. In many-particle quantum systems, we have to separate the ordered motion of the local ... More

Modeling DNA Conformational Transformations on the Mesoscopic ScalesDec 20 2003The approach for the description of the DNA conformational transformations on the mesoscopic scales in the frame of the double helix is presented. Due to consideration of the joint motions of DNA structural elements along the conformational pathways the ... More

P-adic arithmetic codingApr 06 2007A new incremental algorithm for data compression is presented. For a sequence of input symbols algorithm incrementally constructs a p-adic integer number as an output. Decoding process starts with less significant part of a p-adic integer and incrementally ... More

Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversionDec 13 2006We show that the wave packet of a biphoton generated via spontaneous parametric down conversion is strongly anisotropic. Its anisotropic features manifest themselves very clearly in comparison of measurements performed in two different schemes: when the ... More

Wavelet decomposition of harmonic functions in growth spacesMar 23 2012Jan 30 2013Spaces of harmonic functions in upper half-space with controlled growth near the boundary are described in terms of multiresolution approximations. The results are applied to prove the law of the iterated logarithm for the oscillation of harmonic functions ... More

Model of fluorescence intermittency of single colloidal semiconductor quantum dots using multiple recombination centersJun 17 2009Nov 16 2009We present a new physical model resolving a long-standing mystery of the power-law distributions of the blinking times in single colloidal quantum dot fluorescence. The model considers the non-radiative relaxation of the exciton through multiple recombination ... More

Procyclic coverings of commutators in profinite groupsMay 21 2014We consider profinite groups in which all commutators are contained in a union of finitely many procyclic subgroups. It is shown that if G is a profinite group in which all commutators are covered by m procyclic subgroups, then G possesses a finite characteristic ... More

Sub-wavelength imaging at infrared frequencies using an array of metallic nanorodsSep 15 2006We demonstrate that an array of metallic nanorods enables sub-wavelength (near-field) imaging at infrared frequencies. Using an homogenization approach, it is theoretically proved that under certain conditions the incoming radiation can be transmitted ... More

Beyond the random phase approximation: Stimulated Brillouin backscatter for finite laser coherence timesNov 25 2013We develop a statistical theory of stimulated Brillouin backscatter (BSBS) of a spatially and temporally partially incoherent laser beam for laser fusion relevant plasma. We find a new collective regime of BSBS (CBSBS) with intensity threshold controlled ... More

Symmetry preserving discretization of ordinary differential equations. Large symmetry groups and higher order equationsJul 23 2015Ordinary differential equations (ODEs) and ordinary difference systems (O$\Delta$Ss) invariant under the actions of the Lie groups $\mathrm{SL}_x(2)$, $\mathrm{SL}_y(2)$ and $\mathrm{SL}_x(2)\times\mathrm{SL}_y(2)$ of projective transformations of the ... More

Lie group classification of first-order delay ordinary differential equationsDec 07 2017A group classification of first-order delay ordinary differential equation (DODE) accompanied by an equation for delay parameter (delay relation) is presented. A subset of such systems (delay ordinary differential systems or DODSs) which consists of linear ... More

Background-free time-resolved coherent Raman spectroscopy (CSRS and CARS): heterodyne detection of low-energy vibrations and recognition of excited-state contributionsNov 07 2018Feb 28 2019Coherent Raman scattering (CRS) spectroscopy techniques have been widely developed and optimized for different applications. The most utilized CRS technique has been coherent anti-Stokes Raman scattering (CARS), and more recently, stimulated Raman scattering ... More

Dimensional effects in ultrathin magnetic filmsNov 17 2015Dimensional effects in the critical properties of multilayer Heisenberg films have been numerically studied by Monte Carlo methods. The effect of anisotropy created by the crystal field of a substrate has been taken into account for films with various ... More

Enhancement of evanescent waves inside media with extreme optical anisotropyMay 14 2008Dec 02 2008Significant enhancement of evanescent spatial harmonics inside the slabs of media with extreme optical anisotropy is revealed. This phenomenon results from the pumping of standing waves and has the feature of being weakly sensitive to the material losses. ... More

The dependence of the evolution of SN type Ia progenitors on the C burning rate uncertainty and parameters of convective boundary mixingOct 07 2013Jan 15 2014Evolution of a supernova type Ia progenitor requires formation of a CO white dwarf, which implies a dependence on the C burning rate (CBR). It can also be affected by the recently identified possibility of C flame quenching by convective boundary mixing. ... More

Lie group classification of second-order delay ordinary differential equationsJan 09 2019This article is part of a research program the aim of which is to turn Lie group theory into an efficient tool for classifying, transforming and solving a further class of equations, namely Delay Ordinary Differential Systems (DODSs). Such a system consists ... More

Universal emission intermittency in quantum dots, nanorods, and nanowiresOct 14 2008Mar 19 2009Virtually all known fluorophores, including semiconductor nanoparticles, nanorods and nanowires exhibit unexplainable episodes of intermittent emission blinking. A most remarkable feature of the fluorescence intermittency is a universal power law distribution ... More

Finite BRST Mapping in Higher Derivative ModelsJun 12 2017We continue the study of finite field dependent BRST (FFBRST) symmetry in the quantum theory of gauge fields. An expression for the Jacobian of path integral measure is presented, depending on a finite field-dependent parameter, and the FFBRST symmetry ... More