Showing papers by "Luciano Pietronero published in 1980"
TL;DR: In this paper, the electrical conductivity of a charged layer of graphite is calculated from first principles within a tight-binding framework, where the Fermi surface consists of circles around the $P$ points in the Brillouin zone.
Abstract: The electrical conductivity of a charged layer of graphite is calculated from first principles within a tight-binding framework. The Fermi surface consists of circles around the $P$ points in the Brillouin zone. In the neighborhood of these points we obtain analytical expressions for the electron-phonon coupling ${g}_{\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}{\stackrel{\ensuremath{\rightarrow}}{\mathrm{k}}}^{\ensuremath{'}}}$. The longitudinal and transverse phonons are shown to give exactly the same average contribution to scattering (contrary to the case of simple metals). In the high-temperature limit we obtain a conductivity (at $T=300$ K) that is about thrice that of copper. The significance of this result with respect to graphite intercalation compounds is discussed.
110 citations
TL;DR: In this article, the static and dynamical properties of a Frenkel-Kontorova model (generalized to arbitrary density of defects) are studied and a refined measurement of diffuse x-ray scattering for hollandite is presented and interpreted in detail with the above model.
Abstract: The static and dynamical properties of a Frenkel-Kontorova model (generalized to arbitrary density of defects) are studied. This system with a constant density of particles is intended to describe a one-dimensional ionic conductor. The dynamic properties are studied within a generalized free-rate theory in configurational space. (Note that this description does not allow for soliton-type transport.) For the case of a piecewise parabolic potential, analytical results are obtained for all the relevant quantities while for a sinusoidal potential numerical results are reported. A refined measurement of the diffuse x-ray scattering for hollandite is presented and interpreted in detail with the above model. This information is then used to compute the effective diffusion barriers and the conductivity that result in good agreement with experiments.
47 citations
TL;DR: In this paper, the authors derived exact expressions for the frequency dependent conductivity of a system whose dynamics is described by a Master Equation in which the transition ratesΓab can be functions of other dynamical variables.
Abstract: We derive explicit exact expressions for the frequency dependent conductivity of a system whose dynamics is described by a Master Equation in which the transition ratesΓab can be functions of other dynamical variables. We apply this method to study the hopping of particles in a lattice with the hopping rate modulated by an additional harmonic variable. The results of this model are related to the observed microwave conductivity of superionic conductors. In particular we show that the modulation of the hopping rate can produce a structure similar to the one observed in AgI type systems.
5 citations
TL;DR: In this paper, a microscopic calculation of the electrical conductivity of acceptor intercalation compounds of graphite is presented, where electron-phonon scattering has two contributions: scattering with the phonons of the graphite layers and scattering with modes of the charged intercalate molecules.
Abstract: We present a microscopic calculation of the electrical conductivity of acceptor intercalation compounds of graphite. In our model the electron-phonon scattering has two contributions:(a) Scattering with the phonons of the graphite layers; (b) scattering with the modes of the charged intercalate molecules. Specific results are derived for C 8 n AsF 5 and compared with experiments.
4 citations