A problem of the crossover from percolation to diffusion transport is considered. A general scaling theory is proposed. It introduces phenomenologically four critical exponents which are connected by two equations. One exponent is completely new. It describes the increase of the diffusion below percola-tion threshold. As an example, an exact solution of one dimensional lattice problem is given....

In this letter we clarify the role of heat flux in the hydrodynamic balance equations in 2D quantum wells, facilitating the formulation of an Onsager relation within the framework of this theory. We find that the Onsager relation is satisfied within the framework of the 2D hydrodynamic balance equation transport theory at sufficiently high density. The condition of high density is consonant wit...

A new derivation of the quantum Boltzmann transport equation for the Fermion system from the quantum time evolution equation for the wigner distribution function is presented. The method exhibits the origin of the time - irreversibility of the Boltzmann equation. In the present work, the spin dependent and indistinguishibility of particles are also considered.

Title of dissertation: THEORY OF GRAPHENE TRANSPORT PROPERTIES Qiuzi Li, Doctor of Philosophy, 2013 Dissertation directed by: Professor Sankar Das Sarma Department of Physics Graphene is of great fundamental interest and has potential applications in disruptive novel technologies. In order to study the novel phenomena in graphene, it is essential to understand its electron transport properties ...

In this study, we have theoretically investigated the effect of electron stopper layer on internal temperature distribution of high performance vertical cavity surface-emitting laser emitting at 1305 nm. Simulation software PICS3D, which self-consistently combines the 3D simulation of carrier transport, self-heating, gain computation and wave-guiding, was used. Simulation results show that chan...

This work demonstrates a first-principles-based approach to obtaining finite temperature thermal and electronic transport properties which can be employed model understand mesoscale structural evolution during electronic, magnetic, phase transitions. A computationally tractable was introduced estimate electron relaxation time its dependence. The is applied ${\mathrm{Ca}}_{3}{\mathrm{Ru}}_{2}{\m...

This work reports on a pioneering study of the electron transport in nanometer-thick Ir film supported by a DNA fiber, and the phonon transport sustained by the DNA itself. By evaluating the electrical resistivity (re)~temperature relation based on the Block-Grüneisen theory, we find the Ir film has weak phonon softening indicated by 7e15% Debye temperature reduction. The Ir film's intrinsic re...