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Vol 106, No 9 (2017)

Biophysics

Success of spiral wave unpinning from heterogeneity in a cardiac tissue depends on its boundary conditions

Kachalov V.N., Tsvelaya V.A., Kudryashova N.N., Agladze K.I.

Abstract

The mechanism of the low voltage defibrillation is based on the drift of the spiral wave induced by a high frequency wave train. In the process, it is first necessary to unpin the wave from the stabilizing obstacle. We study the conditions of unpinning of a rotating wave anchored to the defect by posing the main accent on the boundary conditions of it. The computer simulations performed using the Korhonen model showed that the fluxes through the border of the defect in the cardiac tissue can significantly modify the excitation pattern, and the working frequency gap for the unpinning of reentry waves could be substantially reduced, making overdrive pacing procedure less effective or practically inapplicable.

JETP Letters. 2017;106(9):608-612
pages 608-612 views

Condensed Matter

Helical edge transport in the presence of a magnetic impurity

Kurilovich P.D., Kurilovich V.D., Burmistrov I.S., Goldstein M.

Abstract

We consider the effects of electron scattering off a quantum magnetic impurity on the current–voltage characteristics of the helical edge of a two-dimensional topological insulator. We compute the backscattering contribution to the current along the edge for a general form of the exchange interaction matrix and arbitrary value of the magnetic impurity spin. We find that the differential conductance may exhibit a nonmonotonic dependence on the voltage with several extrema.

JETP Letters. 2017;106(9):593-599
pages 593-599 views

Self-consistent mapping of the ab initio calculations to the multi-orbital pd model: Magnetism in α-FeSi2 films as the effect of the local environment

Zhandun V., Zamkova N., Ovchinnikov S., Sandalov I.

Abstract

To accurately translate the results obtained within density functional theory (DFT) to the language of many-body theory we suggest and test the following approach: the parameters of the formulated model are to be found from the requirement that the model self-consistent electron density and density of electron states are as close as possible to the ones found from the DFT-based calculations. The investigation of the phase diagram of the model allows us to find the critical regions in magnetic properties. Then the behavior of the real system in these regions is checked by the ab initio calculations. As an example, we studied the physics of magnetic moment (MM) formation due to substitutions of Si by Fe-atoms or vice versa in the otherwise non-magnetic alloy α-FeSi2. We find that the MM formation is essentially controlled by the interaction of Fe atoms with its next nearest atoms (NNN) and by their particular arrangement. The latter may result in different magnetic states at the same concentrations of constituents. Moreover, one of arrangements produces the counterintuitive result: a ferromagnetism arises due to an increase in Si concentration in Fe1−xSi2+x ordered alloy. The existing phenomenological models associate the destruction of magnetic moment only with the number of Fe–Si nearest neighbors. The presented results show that the crucial role in MM formation is played by the particular local NNN environment of the metal atom in the transition metal-metalloid alloy.

JETP Letters. 2017;106(9):582-586
pages 582-586 views

Coherent photogalvanic valley Hall effect

Kovalev V.M., Tse W., Entin M.V.

Abstract

The theory of the coherent photogalvanic valley Hall effect in two-dimensional systems with the Dirac spectrum of charge carriers is formulated. The study deals with a two-dimensional sample irradiated by two electromagnetic waves, at the fundamental and doubled frequencies. Both frequencies exceed the band gap of the material, whereas the wave with the fundamental frequency having circular polarization and a high intensity is taken into account in a nonperturbative manner. The wave at the doubled frequency is linearly polarized and the electrical conductivity of the two-dimensional system is calculated with respect to it. The effect under study manifests itself as the dc Hall current in the direction orthogonal to the electric field of the weak electromagnetic wave. It is assumed that, in equilibrium, the sample is in the insulating state with the completely occupied valence band and empty conduction band. The strong electromagnetic wave induces a nonequilibrium filling of the bands and the system passes to a strongly nonequilibrium steady state. The behavior of the Hall current in the case of nonequilibrium distribution functions is analyzed both including and disregarding the intraband relaxation and interband recombination.

JETP Letters. 2017;106(9):565-570
pages 565-570 views

Low-temperature intracenter relaxation times of shallow donors in germanium

Zhukavin R.K., Kovalevskii K.A., Sergeev S.M., Choporova Y.Y., Gerasimov V.V., Tsyplenkov V.V., Knyazev B.A., Abrosimov N.V., Pavlov S.G., Shastin V.N., Schneider H., Deßmann N., Shevchenko O.A., Vinokurov N.A., Kulipanov G.N., Hübers H.

Abstract

The relaxation times of localized states of antimony donors in unstrained and strained germanium uniaxially compressed along the [111] crystallographic direction are measured at cryogenic temperatures. The measurements are carried out in a single-wavelength pump–probe setup using radiation from the Novosibirsk free electron laser (NovoFEL). The relaxation times in unstrained crystals depend on the temperature and excitation photon energy. Measurements in strained crystals are carried out under stress bar S > 300, in which case the ground-state wavefunction is formed by states belonging to a single valley in the germanium conduction band. It is shown that the application of uniaxial strain leads to an increase in the relaxation time, which is explained by a decrease in the number of relaxation channels.

JETP Letters. 2017;106(9):571-575
pages 571-575 views

Diffuse X-ray scattering near a two-dimensional liquid–vapor phase transition at the n-hexane–water interface

Tikhonov A.M.

Abstract

The molecular structure of neutral n-triacontanol mesophases at the n-hexane–water interface has been studied by diffuse X-ray scattering using synchrotron radiation. According to the experimental data, a transition to the multilayer adsorption of alkanol occurs at a temperature below the transition from a gas phase to a liquid Gibbs monolayer.

JETP Letters. 2017;106(9):576-581
pages 576-581 views

Ag2S/Ag heteronanostructure

Sadovnikov S.I., Rempel’ A.A., Gusev A.I.

Abstract

An Ag2S/Ag heteronanostructure has been prepared for the first time by hydrochemical deposition. The “acanthite α-Ag2S–argentite β-Ag2S” phase transformation has been studied in situ by high-temperature X-ray diffraction and transmission electron microscopy. The crystal structure of argentite has been revealed. It has been found that the concentration of vacant sites in the metal sublattice of argentite exceeds 92%. The reversible acanthite–argentite transformation in the Ag2S/Ag heteronanostructure at the application of the external bias voltage is considered.

JETP Letters. 2017;106(9):587-592
pages 587-592 views

Fields, Particles, and Nuclei

Phonon–particle coupling effects in odd–even mass differences of semi-magic nuclei

Saperstein E.E., Baldo M., Pankratov S.S., Tolokonnikov S.V.

Abstract

A method to evaluate the particle–phonon coupling (PC) corrections to the single-particle energies in semi-magic nuclei, based on a direct solving the Dyson equation with PC corrected mass operator, is used for finding the odd–even mass difference between 18 even Pb isotopes and their odd-proton neighbors. The Fayans energy density functional (EDF) DF3-a is used which gives rather high accuracy of the predictions for these mass differences already on the mean-field level, with the average deviation from the existing experimental data equal to 0.389 MeV. It is only a bit worse than the corresponding value of 0.333 MeV for the Skyrme EDF HFB-17, which belongs to a family of Skyrme EDFs with the highest overall accuracy in describing the nuclear masses. Account for the PC corrections induced by the low-laying phonons 21+ and 31- significantly diminishes the deviation of the theory from the data till 0.218 MeV.

JETP Letters. 2017;106(9):555-560
pages 555-560 views

Optics and Laser Physics

Nonlinear increase in the energy input into a medium at the fusion of regularized femtosecond filaments

Pushkarev D.V., Mitina E.V., Uryupina D.S., Volkov R.V., Panov N.A., Karabutov A.A., Kosareva O.G., Savel’ev A.B.

Abstract

The fusion in air of four femtosecond laser beams each with the peak power several times higher than the critical self-focusing power has been studied experimentally. It has been shown that a superfilament formed in such a regime ensures the efficient energy input to a medium. It has been shown that the linear density of the input energy increases approximately quadratically with both the energy of a laser pulse and the number of fused beams.

JETP Letters. 2017;106(9):561-564
pages 561-564 views

Methods of Theoretical Physics

On some integrable cases of the two-dimensional motion of a charged particle in an electromagnetic field

Marikhin V.G.

Abstract

Two cases of the two-dimensional motion of a charged particle in an electromagnetic field have been integrated. In these cases, the Hamiltonian commutes with the angular momentum. Variables are separable in polar coordinates. The vector potential and potential energy have been taken from my recent work regarding two cases of the two-dimensional Schrödinger equation, which belong to quasi-exactly solvable problems. In these cases, semiclassical and exact wavefunctions have been compared in classically forbidden regions.

JETP Letters. 2017;106(9):600-603
pages 600-603 views

Asymptotic approach to the description of nonclassical transport processes. Fermat’s principle

Kondratenko P.S.

Abstract

A method has been proposed to calculate the concentration distribution at asymptotically long distances from a source of impurity in a medium including long-scale heterogeneities. It has been found that the exponent Γ ≫ 1 in an expression for the concentration satisfies a nonlinear equation with first-order partial derivatives. This has allowed using the variational principle to calculate the function Γ. The pre-exponential factor in the expression for the concentration has been determined in the leading approximation in the small parameter Γ−1. An analogy with geometrical optics and semiclassical approximation in quantum mechanics has been demonstrated.

JETP Letters. 2017;106(9):604-607
pages 604-607 views

Miscellaneous

Effect of the topology of a graphene/SiC nanotip emitter on the formation of rings in high electric fields

Svetlichnyi A.M., Jityaev I.L.

Abstract

The distributions of the electric field strength, current density, and trajectories of emitted electrons have been simulated taking into account the topology of a graphene/SiC nanotip emitter. The analysis of the resulting models has shown an increase in the electric field strength and current density on concentric nanobulges at the periphery of the emitter. It has been shown that nanobulges are sources of the intense emission of electrons. The superposition of trajectories of these electrons results in the appearance of several rings on an emission image.

JETP Letters. 2017;106(9):613-616
pages 613-616 views

Chimera states in an ensemble of linearly locally coupled bistable oscillators

Shchapin D.S., Dmitrichev A.S., Nekorkin V.I.

Abstract

Chimera states in a system with linear local connections have been studied. The system is a ring ensemble of analog bistable self-excited oscillators with a resistive coupling. It has been shown that the existence of chimera states is not due to the nonidentity of oscillators and noise, which is always present in real experiments, but is due to the nonlinear dynamics of the system on invariant tori with various dimensions.

JETP Letters. 2017;106(9):617-621
pages 617-621 views