Thermoelectric effects in layered conductors in a strong magnetic field

Thermoelectric effects are investigated theoretically in layered conductors with a quasi-two-dimensional electron energy spectrum of arbitrary type in a strong magnetic field. It is shown that, at temperatures sufficiently low for quantization of the orbital motion of charge carriers in a magnetic field to be required, there exist giant quantum oscillations of the thermoelectric field. Thermoelectric emf is studied as a f unction of the orientation of the magnetic field with respect to the layers; experimental investigation of this function allows one to determine the velocity distribution of conduction electrons on the Fermi surface.     

Spin waves in layered conductors

The spectrum of spin waves propagating in layered conductors with a quasi-bidimensional law of charge carrier dispersion was determined for the case of an arbitrary correlation function and an external magnetic field perpendicular to the conducting layers.     

Magnetoresistance of organic conductors in the vicinity of a topological phase transition

We analyze the effect of magnetic breakdown on the resistance of layered organic conductors with a multisheet Fermi surface consisting of a cylinder and two slightly corrugated planes along the projection of the momentum onto the normal to the layers. Analytic expressions are derived for the charge carrier distribution function, and the dependences of the interlayer and intralayer conductivities on the magnitude and orientation of the external magnetic field in the immediate vicinity of a topological phase transition are determined when the distance between the different sheets of the Fermi surface is quite small, but the topological structure of the Fermi surface is still intact.     

Spin waves in the Fermi liquid of quasi-two-dimensional conductors

The spin waves in layered conductors with a charge carrier dispersion law that admits of open trajectories in momentum space are investigated in terms of the Fermi-liquid theory.     

Acoustic transparency of organic conductors in a magnetic field

It is predicted that organic conductors have high acoustic transparency in high magnetic fields. The effect is shown to be due to the two-dimensional nature of the electron energy spectrum. Pis’ma Zh. éksp. Teor. Fiz. 64, No. 12, 845–848 (25 December 1996) Published in English in the original Russian journal. Edited by Steve Torstveit.     

Integro-Differential Equations over a Closed Circuit with Gaussian Function in the Kernel

Integro-differential equations with kernels including hypergeometric Gaussian function that depends on the arguments ratio are studied over a closed curve in the complex plane. Special cases of the equations considered are the special integro-differential equation with Cauchy kernel, equations with power and logarithmic kernels. By means of the curvilinear convolution operator with the kernel of special kind, the equations with derivatives are reduced to the equations without derivatives. We find out the connection between special cases of the above-mentioned convolution operator and the known integral representations of piecewise analytical functions applied in the study of boundary value problems of the Riemann type. The correct statement of Noetherian property for the investigated class of equations is given. In this case, the operators corresponding to the equations are considered acting from the space of summable functions into the space of fractional integrals of the curvilinear convolution type. Examples of integro-differential equations solvable in a closed form are given.

     

A new mechanism of anomalous penetration of electromagnetic waves into a metal

The high-frequency phenomena occuring in metals have been considered taking into account the multi-channel mode of carrier reflection from a perfect boundary. As has been found, umklapp processes can bring about an anomalous transparency of metallic plates in a wide range of magnetic-field strengths and electromagnetic-wave frequencies.     

Shubnikov–de Haas Thermoelectric Field Oscillations in Layered Conductors in the Vicinity of a Topological Lifshits Transition

Journal of Experimental and Theoretical Physics - We have studied the response of a layered conductor with a quasi-two-dimensional electron spectrum and a multisheet Fermi surface (FS) formed by...     

Electron transport in multilayer structures in a strong magnetic field

A linear response of the electron system of multilayer conducting structures placed in a strong magnetic field to an external action in the form of an electric field and a temperature gradient is studied theoretically. It is shown that joint investigations of the magnetoresistance and the thermo-emf allows new important information on the structure of the electron energy spectrum to be obtained and the presence of Q1D sheets of the Fermi surface to be revealed. Presented at 5-th International Conference Solid State Surfaces and Interfaces, November 19–24, 2006, Smolenice Castle, Slovakia