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M. V. Cheremisin

Publications and source records attributed to M. V. Cheremisin.

At least 19 recordsLinked to original sources
arXiv2025

How to accurately measure the mobility and viscosity of two-dimensional carriers?

Two different methods of \emph{metrological} accuracy are proposed to determine the mobility and viscosity of ultra clean two-dimensional electron liquids. The experimental data analysis is based on the Gurzhi hydrodynamic model under no-slip boundary conditions without preliminary assumptions about carrier scattering times. The applicability of no-slip boundary conditions has been proven. A Hall bar with several conducting channels of different widths in a zero magnetic field and a sample with a single channel in a perpendicular field are considered. In both cases, it was possible to accurately isolate the ohmic part of the total measured resistance and, then find the exact mobility and viscosity of the charge liquid. The extracted e-e scattering time is extremely close to that obtained by other experimental group for transport measurements of superballistic point contact. At low temperatures the e-e scattering time demonstrates a stronger dependence compare to $1/T^{2}$ behavior predicted by Fermi liquid theory. We propose both methods as powerful tools for viscometry and finding the mobility of two-dimensional systems.

cond-mat.mes-hall↗
arXiv2024

Tunable THz-whistle built on two-dimensional Helmholtz resonator

We propose the turnable THz generator built on two-dimensional analog of conventional Helmholtz resonator. The generator excitation is provided by current flow similar to whistle in conventional hydrodynamics. The output frequency, hydrodynamic parameters and practical realization of THz-whistle are discussed regarding the possible applications.

cond-mat.mes-hall↗
arXiv2023

Comment on "Magnetoplasmons in a 2D electron fluid: Disk geometry"

The main results of the commented article do not raise objections, but their final processing seems doubtful. Namely, the spectra of zero-field plasmon with a fixed angular momentum $l = 0.1..4$ was scaled using a certain reference frequency and, then displayed as a function of a specific screening parameter. Oddly enough, it turned out that the reference frequency includes the screening parameter explicitly. Obviously, it is a trivial error in scaling procedure. For this reason the physical meaning of the result becomes lost, especially for zero value of screening parameter. The similar scaling method was performed for magnetoplasmon spectra at fixed values $0;0.5;\infty$ of screening parameter. Again, the case of zero screening parameter is doubtful. Both examples are exactly the source of misunderstandings. The original data for the axisymmetric plasmon $l=0$ were corrected and, then compared with the that followed from so-called telegraph line model, showing a difference of only 5 percent. We claim that the telegraph line model would be useful for describing disk-shaped plasmon devices with/without ring gratings.

cond-mat.mes-hall↗
arXiv2023

Identification of dark axisymmetric plasma modes in partially gated two-dimensional electron gas disk

We investigate the dark axisymmetric plasmon spectrum for partially gated two-dimensional gas of the disk shape. The extension of the central gate spot provides a change in plasmon dispersion from the root to a linear dependence on the wave vector. Intriguingly, the interaction between neighboring modes occurs because of stepwise change in carrier screening across the circumference of the gate. This behavior is unexpected when changing from a fully screened to unscreened two-dimensional gas by increasing the dielectric width under the gate [A.L.Fetter, Phys.Rev.B 33, 5221 (1986)]. Our results provide the accurate identification of axisymmetric plasmon modes recently observed in experiment and, in addition, pave the way for feedback plasmon resonator study.

cond-mat.mes-hall↗
arXiv2023

Self induced Hall Effect in current carrying bar

The longitudinal current in a three-dimensional conductor is accompanied by transverse magnetic field in a specimen bulk. The absence of the transverse current in a sample bulk requires a nonzero Hall electric field in transverse cross-section which provides the Lorentz force cancelation. The longitudinal current itself can be viewed as a collective drift of carriers in crossed magnetic and electric(Hall) fields. At low temperatures the enhanced carrier viscosity leads to nonuniform current flow whose transverse profile is sensitive to presence of $collinear$ diamagnetic currents at the sample inner walls. Former dissipative the longitudinal current becomes purely diamagnetic at certain critical temperature. The superconductivity sets on. The current and transverse magnetic field become pushed out from the sample bulk towards the inner wall. Magnetic properties of a sample resemble those expected for ideal diamagnet. The threshold of superconductivity is calculated for arbitrary temperature, disorder strength, sample size and current and(or) magnetic field strength. Sample-size and magnetic field driven transition from normal metal phase to superconductivity has been studied. The superconductivity phase is not discussed.

cond-mat.mes-hall↗
arXiv2019

Circular Hall Effect in a wire

The applied voltage along a wire leads to a constant current density and, in turn, the azimuthal magnetic field. The absence of the radial current in a sample bulk requires nonzero radial(Hall) electric field to be present. We show that the longitudinal current itself is exactly that provided by the carriers drift in crossed azimuthal magnetic and Hall electric field. Nonzero carrier viscosity leads to nonuniform current flow dependent on the boundary condition at the inner wire wall. We find the general boundary condition accounting diamagnetic currents. At low temperatures the enhanced carrier viscosity leads to both the current and azimuthal magnetic field are pushed out the wire bulk towards the inner boundary. Simultaneously, the sample resistance strongly vanishes exhibiting a temperature driven threshold transition. Within low-current limit we calculate the threshold temperature for arbitrary carrier scattering and the sample size. For bulky sample and finite applied current our theory provides the universal phase transition diagram in terms of magnetic field vs temperature.

cond-mat.mes-hall↗
arXiv2018

Riemann-Silberstein representation of the complete Maxwell equations set

The complete set of Maxwell equations is represented by a single equation using Riemann-Silberstein complex vector of electromagnetic field. The consistent derivation of the Lorenz gauge condition is presented. We demonstrate that Fourier form of invariants ${\bf EB}$ and $E^{2}-B^{2}$ are proportional to dissipated power and equal to zero respectively.

hep-th↗
arXiv2017

Magnetoplasmon spectrum for asymmetric off-plane structure of dissipative 2D system

The rigorous analysis of textbook result(Chiu and Quinn, 1974) gives unexpectedly the dramatic change of magnetoplasmon spectrum taking into account both the arbitrary dissipation and asymmetric off-plane structure of 2D system. For given wave vector the dissipation enhancement leads to decrease(increase) of magnetoplasmon frequency at low(high) magnetic field. At certain range of disorder the purely relaxational mode appears in magnetoplasmon spectrum. In strong magnetic fields the magnetoplasmon frequency falls to cyclotron resonance line even in presence of finite dissipation. The recent observation of 2D magnetoplasmon spectrum is consistent with our findings.

cond-mat.mes-hall↗
arXiv2016

Surprising coincidence of the apparent 2D metal-to-insulator transition data with Fermi-gas based model results

The melting condition for two-dimensional Wigner solid ( P.M. Platzman, H.Fukuyama, 1974) is shown to contain an error of a factor of $π$. The analysis of experimental data for apparent 2D metal-to-insulator transition shows that the Wigner solidification (B.Tanatar, D.M.Ceperley, 1989) has been never achieved. Within routine Fermi gas model both the metallic and insulating behavior of different 2D system for actual range of carrier densities and temperatures is explained.

cond-mat.str-el↗
arXiv2014

On the magnetotransport of 3D systems in quantizing magnetic field

The resistivity components of 3D electron gas placed in quantizing magnetic field are calculated taking into account the correction caused by combined action of the Peltier and Seebeck thermoelectric effects. The longitudinal, transverse and the Hall magnetoresistivities exhibit familiar 1/H-period oscillations being universal functions of magnetic field and temperature.

cond-mat.mes-hall↗
arXiv2013

Quantum capacitance of the monolayer graphene

The quantum capacitance of the monolayer graphene for arbitrary carrier density, magnetic field and temperature is found. The density dependence of the quantum capacitance is analyzed for magnetic field(temperature) is fixed(varied) and vice versa. The theory is compared with the experimental data.

cond-mat.mes-hall↗
arXiv2012

On the Quantum Hall Effect in graphene

Quantum Hall effect in 1,2-layer graphene is analyzed. The transverse and longitudinal resistivity are found to be universal functions of the filling factor and temperature. At fixed magnetic field mode the magneto-transport problem is resolved in the vicinity of the Dirac point.

cond-mat.mes-hall↗
arXiv2010

Two-dimensional electron gas as a sensitive noise detector

The dc voltage observed at low-temperatures in a 2D electron sample $without$ external excitation is accounted by the Schottky contact rectification of the noise generated in the measuring circuit. The rectified voltage is shown to depend on the asymmetry of the contact pair. The dependence of the rectified voltage on the noise amplitude first follows the trivial quadratic law, then exhibits a nearly linear behavior, and, finally, levels-off.

cond-mat.str-el↗
arXiv2006

Magnetotransport in 2D electron systems with a Rashba spin-orbit interaction

The beating pattern of Shubnikov-de Haas oscillations in 2D electron system in the presence of a Rashba zero-field spin splitting is reproduced. It is shown, taking into account the Zeeman splitting, that the explicit formulae for the node position well describes the experimental data. The spin-orbit interaction strength obtained is found to be magnetic field independent in an agreement with the basic assumptions of the Rashba model.

cond-mat.mes-hall↗
arXiv2005

Terahertz plasma wave generation in ultra-short-channel Field Effect Transistors: theory vs experiment

Taking into account both the scattering and the velocity saturation of carriers, we examine the "shallow-water" instability of the two-dimensional electron gas in a field effect transistor. It is shown that both the scattering (which is analogous to friction in a shallow-water channel) and the carrier velocity saturation lead to damping of the plasma wave instability. Threshold diagram of instability is calculated. The actual device parameters required for observation of plasma wave generation are compared with those reported in recent sub-terahertz emission experiments.

cond-mat.mes-hall↗