We have theoretically studied the thermoelectric effect in layered conductors with a quasi-two-dimensional electron energy spectrum of an arbitrary form in a quantizing magnetic field at low temperatures. Giant quantum oscillations of thermoelectric field versus the inverse magnetic field have been predicted, which will facilitate the experimental study of quantum oscillatory effects. Thermoelectric force in a layered conductor is shown to depend periodically upon the angle between the magnetic field direction and the normal to the layers. This orientation effect arises from the quasi-two-dimensional character of the charge carriers energy spectrum and is representative of layered conductors. Key words: thermoelectric field, layered conductor, quantum oscillations PACS: 72.15.JfLayered structures with sharply anisotropic metal type electrical conductivity have been intensively studied recently. The strong anisotropy of the kinetic coefficients of such conductors is attributed to the quasi-two-dimensional character of the energy spectrum for charge carriers. The dependence of the energy of conduction electrons on their momentum depends weakly on the momentum projection p z = pn along the normal n to the layers and can be represented in the form of a rapidly converging seriesHere a is the separation between layers, is the Planck constant. The maximum values ε max k at the Fermi surface decrease significantly with increasing k so that ε max 1 = ηε F ε F where the parameter of the quasi-two dimensionality η characterizes the anisotropy of the charge carriers spectrum.In many-layered conductors of organic origin placed in a strong magnetic field H Shubnikov-de Haas oscillations have been observed [1]. This points to the presence of closed sections of the Fermi surface and to the fact that charge carriers mean lifetime τ is large enough and an electron can perform many rotations with frequency Ω during τ . We shall assume that the Fermi surface has the form of a weakly corrugated cylinder, which is in a good agreement with experimental investigations of galvanomagnetic effects and Shubnikov-de Haas oscillations in many tetrathiafulvalene-based complexes with charge transport.In present paper we consider thermoelectric phenomena in layered conducting structures placed in a strong quantizing magnetic field H = (0, H sin ϑ, H cos ϑ). In the quasi-classical approximation, when the interval between quantized energy levels of charge carriers is much less than the Fermi * The paper submitted to the Proceedings of the conference "Statistical physics 2005: Modern problems and new applications" (August 28-30, 2005, Lviv, Ukraine).

The propagation of electromagnetic waves in layered conductors at the presence of an external magnetic field is investigated theoretically. At certain orientations of a magnetic field concerning the layers of the conductor the collisionless absorption is absent and weakly damping collective modes can propagate even under the strong spatial dispersion. In a short-wave limit the existence of electromagnetic waves with frequencies near the cyclotron resonances is possible at an arbitrary orientation of the wave vector with respect to an external magnetic field. We have obtained the spectrum of waves with the frequencies near the cyclotron resonances of high order with regard to the Fermi-liquid interaction of the electrons. : 72.15.Nj, 72.30.+q Experimental studies of galvanomagnetic phenomena in a large family of tetrathiafulvalene based ion-radical salts of the form (BEDT − TTF) 2 X (X stands for a set of various anions) indicate that these layered compounds possess the metal type electrical conductivity. This permits to describe electron processes in such conductors based on the well-developed concept of quasiparticles, analogous to conduction electrons in metals. Observation of Shubnikov-de Haas magnetoresistance oscillations prove that the approximation of free path time τ in these layered conductors can be sufficient for charge carriers to manifest their dynamic properties. Their cyclotron frequency Ω may significantly exceed τ Key words: layered conductors, Fermi liquid, cyclotron waves PACS

The Hall effect in organic layered conductors with a multisheeted Fermi surfaces was considered. It is shown that the experimental study of Hall effect and magnetoresistance anisotropy at different orientations of current and a quantizing magnetic field relative to the layers makes it possible to determine the contribution of various charge carriers groups to the conductivity, and to find out the character of Fermi surface anisotropy in the plane of layers Gd, 75.70.Cn Galvanomagnetic phenomena in degenerated conductors placed in a strong magnetic field B, when cyclotron frequency of electrons ω B considerably exceeds their collision frequency 1/τ , are very sensitive to the form of the electron energy spectrum [1,2]. Experimental studies of the magnetoresistance anisotropy were successfully utilized as a simple spectroscopic method for the reconstruction of the Fermi surface (FS) topology. Investigations of the Hall effect provide important information about the charge carriers. In conductors with reduced dimensionality, the Hall effect manifests itself in the manner essentially different from the conventional metals. For example, in two-dimensional structures, the Hall field orthogonal to the current density on the magnitude of quantizing magnetic field has got a step like form [3,4]. At the same time, in quasi-isotropic conductors, at ω B τ 1, the orbital quantization of electrons in a magnetic field being taken into account does not essentially effect the magnitude of the Hall field.In uncompensated metals with closed FS (p) = F , the Hall field orthogonal to the current J, in collisionless limit (τ → ∞), has the following asymptotic formNec .The corrections to the Hall field, arising from the quantization of electron energy in the magnetic field, occur only in the following approximations in the small parameter γ = 1/ω B τ 1. Here e is the electron charge, c is the velocity of light in vacuum, N = N 1 −N 2 , N 1 is the number of electrons in a unit volume, and N 2 is the number of holes, whose velocity vector v = ∂ (p)/∂p is directed within the closed concavity of isoenergetic surface. In stationary electric E and magnetic fields, the drift velocity of charge carriers in a plane, orthogonal to the magnetic field, is identical to all conduction electronsSince the directions of motion along the closed orbits of charge carriers (p) = const, p B = pB/B = const in the electronic and hole state are different, the current density in collisionless