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Publications (83)
The electron-electron scattering does not affect the electrical current in Galilean-invariant systems. We show that, nevertheless, electron-electron collisions may contribute to the electric resistivity of systems with parabolic spectrum provided that they have multiply connected Fermi surfaces, and there is an additional mechanism of scattering. T...
The electron-electron scattering does not affect the electrical current in Galilean-invariant systems. We show that nevertheless electron-electron collisions may contribute to the electric resistivity of systems with parabolic spectrum provided that they have multiply connected Fermi surface and there is an additional mechanism of scattering. To th...
Two-dimensional systems with Rashba spin-orbit coupling are not Galilean invariant and therefore electron–electron collisions in them may affect the current. However, when taken alone, they cannot ensure a nonzero dc resistivity, so their effects are masked by impurity scattering. Here we calculate the related finite-frequency response and show tha...
Two-dimensional systems with Rashba spin-orbit coupling are not Galilean invariant and therefore electron--electron collisions in them may affect the current. However when taken alone, they cannot ensure a nonzero dc resistivity, so their effects are masked by impurity scattering. Here we calculate the related finite-frequency response and show tha...
We calculate the electrical and thermal conductivity of a two-dimensional electron gas with strong spin-orbit coupling in which the scattering is dominated by electron-electron collisions. Despite the apparent absence of Galilean invariance in the system, the two-particle scattering does not affect the electrical conductivity above the band-crossin...
We calculate the electrical and thermal conductivity of a two-dimensional electron gas with strong spin--orbit coupling in which the scattering is dominated by electron--electron collisions. Despite the apparent absence of Galilean invariance in the system, the two-particle scattering does not affect the electrical conductivity above the band-cross...
Electron-electron collisions are known to cause a nonlocal voltage drop in the presence of current flow. The semiphenomenological theory predicts this drop to be opposite to the direction of the current in the ballistic regime. We use a microscopic approach and show that the sign of this drop may be of both signs depending on the temperature and th...
Electron-electron collisions are known to cause a nonlocal voltage drop in a presence of current flow. The semi-phenomenological theory predicts this drop to be opposite to the direction of the current in the ballistic regime. We use a microscopic approach and show that the sign of this drop may be of both signs depending on the temperature and the...
This is a detailed derivation of the equation for the voltage noise of a resistively shunted Josephson junction with non-sinusoidal current-phase relation, which was presented in Sov. Phys. JETP {\bf 67}, 579 (1988).
We calculate the electrical resistivity of a two‐dimensional electron gas that results from two‐particle collisions and strong Rashba spin‐orbit coupling. When combined with impurity scattering, the two‐particle correction to the resistivity is proportional to the square of temperature T if only the lower helicity band is filled, but the T2 term va...
This is the reply to the comment by I. S. Burmistrov, P. D. Kurilovich, and V. D. Kurilovich [arXiv:1903.047241] on our paper "Noise in the helical edge channel anisotropically coupled to a local spin" [JETP Lett. 108, 664 (2018), arXiv:1810.05831].
We calculate the frequency-dependent shot noise in the edge states of a two-dimensional topological insulator coupled to a magnetic impurity with spin S = 1/2 of arbitrary anisotropy. If the anisotropy is absent, the noise is purely thermal at low frequencies, but tends to the Poissonian noise of the full current I at high frequencies. If the inter...
We calculate the frequency-dependent shot noise in the edge states of a two-dimensional topological insulator coupled to a magnetic impurity with spin $S=1/2$ of arbitrary anisotropy. If the anisotropy is absent, the noise is purely thermal at low frequencies, but tends to the Poissonian noise of the full current $I$ at high frequencies. If the int...
We have investigated current-current correlations in a cross-shaped conductor made of graphene. The mean free path of charge carriers is on the order of the ribbon width which leads to a hybrid conductor where there is diffusive transport in the device arms while the central connection region displays near ballistic transport. Our data on auto and...
We investigate a possibility of pair electron-electron (e−e) collisions in a ballistic wire with spin-orbit coupling and only one populated mode. Unlike in a spin-degenerate system, a combination of spin splitting in momentum space with a momentum-dependent spin precession opens up a finite phase space for pair e−e collisions around three distinct...
We investigate a possibility of pair electron-electron e-e collisions in a ballistic wire with spin-orbit coupling and only one populated mode. Unlike in a spin-degenerate system, a combination of spin-splitting in momentum space with a momentum-dependent spin-precession opens up a finite phase space for pair e-e collisions around three distinct po...
The electron-electron scattering increases the resistance of ballistic many-mode channels whose width is smaller than their length. We show that this increase saturates in the limit of infinitely long channels. Because the mechanisms of angular relaxation of electrons in three and two dimensions are different, the saturation value of the correction...
We calculate an AC response of the edge states of a two-dimensional topological insulator, which can exchange electrons with a conducting puddle in the bulk of the insulator. This exchange leads to finite corrections to the response of isolated edge states both at low and high frequencies. By comparing these corrections, one may determine the param...
The electron-electron scattering increases the resistance of ballistic multimode channels whose width is smaller than their length. We show that this increase saturates in the limit of infinitely long channels. Because the mechanisms of angular relaxation of electrons in three and two dimensions are different, the saturation value of the correction...
We consider the relaxation of a uniform current in a planar 2D conductor with account taken of electromagnetic retardation effects. If the 2D conductivity is larger than the speed of light, the straightforward solution for an infinite plane gives a negative relaxation rate. However if one starts from a conducting cylinder of finite radius and then...
Recent results on the effect of electron–electron collisions on the electric properties of contacts to a twodimensional electron gas with a direct conductivity in the absence of scattering by impurities and boundaries have been reviewed. A correction to the conductance of such contacts owing to the electron–electron scattering can be either positiv...
We calculate current (shot) noise in a metallic diffusive conductor generated by spin imbalance in the absence of a net electric current. This situation is modeled in an idealized three-terminal setup with two biased ferromagnetic leads (F-leads) and one normal lead (N-lead). Parallel magnetization of the F-leads gives rise to spin-imbalance and fi...
We calculate current (shot) noise in a metallic diffusive conductor generated by spin imbalance in the absence of a net electric current. This situation is modeled in an idealized three-terminal setup with two biased ferromagnetic leads (F-leads) and one normal lead (N-lead). Parallel magnetization of the F-leads gives rise in spin-imbalance and fi...
We calculate the resistance and shot noise in the edge states of a two-dimensional topological insulator that result from the exchange of electrons between these states and conducting puddles in the bulk of the insulator. The two limiting cases where the energy relaxation is either absent or very strong are considered. A finite time of spin relaxat...
We calculate the resistance and shot noise in the edge states of a 2D topological insulator that result from the exchange of electrons between these states and conducting puddles in the bulk of the insulator. The two limiting cases where the energy relaxation is either absent or very strong are considered. A finite time of spin relaxation in the pu...
We have investigated current-current correlations in a cross-shaped conductor made of graphene ribbons. We measured auto and cross correlations and compared them with the theoretical predictions for ideal diffusive conductors. Our data deviate from these predictions and agreement can be obtained only by adding contributions from occupation-number n...
We present a simple quantum-mechanical derivation of correlation function of
Langevin sources in the semiclassical Boltzmann--Langevin equation. The
specific case of electron--phonon scattering is considered. It is shown that
the assumption of weak scattering leads to the Poisson nature of the scattering
fluxes.
We present a simple quantum-mechanical derivation of correlation function of Langevin sources in the semiclassical Boltzmann-Langevin equation. The specific case of electron-phonon scattering is considered. It is shown that the assumption of weak scattering leads to the Poisson nature of the scattering fluxes.
We calculate the conductance of a quantum wire with two occupied subbands in
a presence of a barrier taking into account the interaction between electrons.
We extend the renormalization-group equation for the scattering matrix of the
barrier to the case of intersubband interactions, find its fixed points, and
investigate their stability. Depending...
We show that Rashba spin-orbit coupling may result in an energy gap in the
spectrum of electrons in a two-mode quantum wire if a suitable confining
potential is chosen. This leads to a dip in the conductance and a spike in the
spin current at the corresponding position of the Fermi level. Therefore one
may control the charge and spin currents by me...
We show that the breakdown of the Wiedemann-Franz law due to
electron--electron scattering in diffusive spin valves may result in a strong
suppression of the Fano factor that describes the ratio between shot noise and
average current. In the parallel configuration of magnetizations, we find the
universal value $\sqrt{3}/4$ in the absence of a norma...
We consider the transmission of electrons through a two-dimensional ballistic point contact in the low-conductance regime near the pinch-off region. The scattering of electrons by Friedel oscillations of charge density results in a contribution to the conductance proportional to the temperature. The sign of this linear term depends on the range of...
We consider effects of electron–electron scattering in wide ballistic microcontacts. Using a semiclassical Boltzmann equation, we obtain a positive correction to the Sharvin conductance that results from electron–electron collisions in the leads. The correction is linearly dependent on temperature at high temperatures T⪢eVT⪢eV and proportional to |...
We show that electron--electron scattering gives a positive contribution to
the resistivity of ballistic multimode wires whose width is much smaller than
their length. This contribution is not exponentially small at low temperatures
and therefore may be experimentally observable. It scales with temperature as
$T^2$ for three-dimensional channels an...
We consider wide ballistic microcontacts with electron-electron scattering in
the leads and calculate electric noise and nonlinear conductance in them. Due
to a restricted geometry the collisions of electrons result in a shot noise
even though they conserve the total momentum of electrons. We obtain the noise
and the conductivity for arbitrary rela...
In the semiclassical approximation we calculate corrections to the Sharvin conductance of two-dimensional ballistic microcontact.
They are caused by electron-electron interactions outside the contact, the main contribution to the corrections are made by
the collisions of electrons with almost opposite momenta. The corrections are positive, increase...
We calculate the magnetic-field dependent nonlinear conductance and noise in
a macroscopic inhomogeneous system. If the system does not possess a specific
symmetry, the magnetic field induces a nonzero third cumulant of the current
even at equilibrium. This cumulant is related to the first and second voltage
derivatives of the spectral density and...
We calculate the ac linear response of a superconductor in a nonequilibrium electronic state. The nonequilibrium state is produced by injecting quasiparticles into the superconductor from normal leads through asymmetric tunnel contacts. The dissipative part of the response is proportional to the total density of the injected quasiparticles regardle...
Using a semiclassical Boltzmann equation, we calculate corrections to the
Sharvin conductance of a wide 2DEG ballistic contact that result from an
electron--electron scattering in the leads. These corrections are dominated by
collisions of electrons with nearly opposite momenta that come from different
reservoirs. They are positive, increase with t...
We calculate the corrections to the Sharvin conductance of ballistic multimode microcontacts that result from electron-electron scattering in the leads. Using a semiclassical Boltzmann equation, we obtain that these corrections are positive and scale with temperature as T(2)ln(EF/T) for three-dimensional contacts and as T for two-dimensional ones....
We calculate the corrections to the Sharvin conductance of ballistic multimode microcontacts that result from electron--electron scattering in the leads. Using a semiclassical Boltzmann equation, we obtain that these corrections are {\it positive} and scale with temperature as $T^2\ln(E_F/T)$ for three-dimensional contacts and as $T$ for two-dimens...
In the presence of Joule heating, the electronic temperature in a metallic resistor placed at sub-Kelvin temperatures can significantly exceed the phonon temperature. Electron cooling proceeds mainly through two processes: electronic diffusion to and from the connecting wires and electron-phonon coupling. The goal of this paper is to present a gene...
We show how the semiclassical Langevin method can be extended to calculations of higher-than-second cumulants of noise. These cumulants are affected by indirect correlations between the fluctuations, which may be considered as "noise of noise." We formulate simple diagrammatic rules for calculating the higher cumulants and apply them to mesoscopic...
We analyze the frequency dependence of shot noise in a spin filter consisting of a normal grain and ferromagnetic electrodes separated by tunnel barriers. The source of frequency-dependent noise is random spin-flip electron scattering that results from spin-orbit interaction and magnetic impurities. Though the latter mechanism does not contribute t...
The third cumulant of current in a chaotic cavity with contacts of arbitrary transparency is calculated as a function of frequency. The frequency dependency of the mesocopic conductors is found to drastically differ from that of conventional noise. It is also observed that the third cumulant of current in the mesoscopic systems exhibit a strong dis...
We calculate the frequency dispersion of the third cumulant of current in diffusive-metal contacts. The cumulant exhibits a dispersion at the inverse time of diffusion across the contact, which is typically much smaller than the inverse $RC$ time. This dispersion is much more pronounced in the case of strong electron-electron scattering than in the...
We calculate the third cumulant of current in a chaotic cavity with contacts of arbitrary transparency as a function of frequency. Its frequency dependence drastically differs from that of the conventional noise. In addition to a dispersion at the inverse RC time characteristic of charge relaxation, it has a low-frequency dispersion at the inverse...
The third and fourth cumulants of voltage in a current-biased diffusive metal contact of resistance $R$ are calculated for arbitrary temperatures and voltages using the semiclassical cascade approach. The third cumulant equals $e^2R^3I/3$ at high temperatures and $4e^2R^3I/15$ at low temperatures, whereas the fourth cumulant equals $2e^2R^3T/3$ at...
We propose a simple semiclassical method for calculating higher-order cumulants of current in multichannel mesoscopic conductors. To demonstrate its efficiency, we calculate the third and fourth cumulants of current for a chaotic cavity with multichannel leads of arbitrary transparency and compare the results with ensemble-averaged quantum-mechanic...
The Boltzmann - Langevin approach is extended to calculations of third and fourth cumulants of current in diffusive-metal contacts. These cumulants result from indirect correlations between current fluctuations, which may be considered as "noise of noise". The calculated third cumulant coincides exactly with its quantum-mechanical value. The fourth...
The European Physical Society (EPS) is a not for profit association whose members include 41 National Physical Societies in Europe, individuals from all fields of physics, and European research institutions.
As a learned society, the EPS engages in activities that strengthen ties among the physicists in Europe. As a federation of National Physical...
Metal microbridges with a high impurity content and shorter than the energy relaxation length are considered. Their conductance is calculated with allowance made for the Coulomb electron-electron interaction. It is shown that nonequilibrium electrons in the microbridges gives rise to a nonlinear current-voltage characteristic (published in Physics...
The shot noise in long diffusive superconductor-normal-metal-superconductor contacts is calculated using the semiclassical approach. At low frequencies and for purely elastic scattering, the voltage dependence of the noise is of the form S(I) = (4Delta+2eV)/3R. The electron-electron scattering suppresses the noise at small voltages resulting in van...
A cross-shaped diffusive system with two superconducting and two normal electrodes is considered. A voltage $eV < \Delta$ is applied between the normal leads. Even in the absence of average current through the superconducting electrodes their presence increases the shot noise at the normal electrodes and doubles it in the case of a strong coupling...
We present a semiclassical theory of shot noise in diffusive superconductor–normal-metal (SN) contacts. At subgap voltages, we reproduce the doubling of shot noise with respect to conventional normal-metal contacts, which is interpreted in terms of an energy balance of electrons. Above the gap, the voltage dependence of the noise crosses over to th...
The shot noise in long diffusive SNS contacts is calculated using the semiclassical approach. At low frequencies and for purely elastic scattering, the voltage dependence of the noise is of the form S_I = (4\Delta + 2eV)/3R. The electron-electron scattering suppresses the noise at small voltages resulting in vanishing noise yet infinite dS_I/dV at...
We study numerically the process of nuclear spin measurement in a solid-state quantum computer of the type proposed by Kane, by calculating the quantum dynamics of two coupled nuclear spins on 31
P donors implanted in 28
Si. We estimate the time of the `quantum swap operation' - the minimum measurement time required for the reliable transfer of qua...
We present an inverse method for electron transport which allows one to minimize the value of shot noise for a given value of the conductance by optimizing the spatial structure of a disordered semiconductor region. The method is based on the Green’s function approach which is usually applied to the direct transport problem. A specific experimental...
Frequency-dependent nonequilibrium noise in quantum-coherent diffusive conductors is calculated with account taken of long-range Coulomb interaction. For long and narrow contacts with strong external screening the crossover between quantum and shot noise takes place at frequencies much smaller than the voltage drop across the contact. We also show...
We study numerically the process of nuclear spin measurement in a solid-state quantum computer of the type proposed by Kane by modeling the quantum dynamics of two coupled nuclear spins on $^{31}$P donors implanted in silicon. We estimate the minimum measurement time necessary for the reliable transfer of quantum information from the nuclear spin s...
We numerically simulate the process of nuclear spin measurement in Kane's quantum computer. For this purpose, we model the quantum dynamics of two coupled nuclear spins located on ³¹P donors implanted in Si. We estimate the minimum time of measurement necessary for the reliable transfer of quantum information from the nuclear spin subsystem to th...
We study the subgap conductance of a ferromagnetic mesoscopic region attached to a ferromagnetic and a superconducting electrode by means of tunnel junctions. In the absence of the exchange field, the ratio r=γ/εT of the two-tunnel junction resistances determines the behavior of the subgap conductance, which possesses a zero-bias peak for r≫1 and f...
We argue that the nearly 1/3 suppression of shot noise in nondegenerate diffusive contacts recently obtained by Gonzalez et al. (cond-mat/9803372) is due to the specific choice of the energy-independent elastic scattering time. Comment: 2 pages, RevTex, no figures
The frequency-dependent shot noise in long and narrow mesoscopic diffusive contacts is numerically calculated. The case of arbitrarily strong electron-electron scattering and zero temperature of electrodes is considered. For all voltages, the noise increases with frequency and tends to finite values. These limiting values are larger than the Poisso...
We present the results of molecular dynamics modeling on the structural properties of grain boundaries (GB) in thin polycrystalline films. The transition from crystalline boundaries with low mismatch angle to amorphous boundaries is investigated. It is shown that the structures of the GBs satisfy a thermodynamical criterion. The potential energy of...
The fluctuation conduction of normal-metal–superconductor–normal-metal (N/S/N) and superconductor–normal-metal–superconductor (S/N/S) contacts above Tc are analyzed. For N/S/N contacts, both Aslamazov-Larkin and Maki-Thompson corrections to the conduction are found to be of the same order and diverge for Tc*<Tc according to the law (T-Tc*)-1. For S...
The fluctuation Conduction of NSN and SNS contacts above Tc 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 < Tc according to the law (T − T * c) −1. For SNS contacts, the Aslamazov-Larkin correction vanishes, while the Maki-Thompson correc...
The 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 - T_c^*)^-1. For SNS contacts, the Aslamazov - Larkin correction vanishes,while the Maki - Thompson...
The frequency dependence of shot noise in mesoscopic diffusive contacts is calculated with account taken of long-range Coulomb interaction and external screening. While the low-frequency noise is 1/3 of noise of classical Poisson process independently of the contact shape, the high-frequency noise tends to the full classical value for long and narr...
Shot noise in contacts with a small elastic mean free path in the presence of electron-electron scattering is calculated using the Boltzmann-Langevin approach and the approximation of effective electron tempreature. In the case of strong electron-electron scattering, the ratio between the shot noise SI and its classical value 2e||I|| increases from...
The shot noise in metal contacts with small elastic electron mean free path is calculated. In the absence of inelastic scattering its value is three times smaller than that of a tunnel junction with equal resistance. If the contact is sufficiently long at large voltages the emission of phonons by nonequilibrium electrons leads to a nonlinear noise...
The excess noise spectral density in a superconducting film above Tc with a current flow is calculated. This noise is caused by spontaneous generation and dissociation of fluctuational Cooper pairs. The fluctuations of the Cooper pair density lead to the fluctuations of their direct contribution to the current in the presence of an electric field (...
The Abrikosov vortex viscosity coefficient fluctuations caused by fluctuations of the number of quasi-particles confined in the vortex cores are considered. The current noise related to these fluctuations is calculated. In low magnetic fields B ≪ Hc2, at temperatures close to Tc and in an electric field strong enough this noise cay be much stronger...
A kinetic theory of fluctuations in superconductors (including dirty superconductors) is developed for frequencies which are low compared to the energy gap and for sufficiently smooth variations of the mean and fluctuation magnitudes in space. Correlation functions are found for the lateral Langevin sources in the kinetic equation describing the fl...
The spectral density of the resistivity noise caused by those relaxation mechanisms of the defects which are responsible for the low-frequency internal friction is calculated. The noise is related to the magnitude of the background in the internal friction spectrum of the metal. The current noise arising from two-level tunneling systems is also eva...
