UC Riverside

Motivated by the experimental measurement of transport properties such as electrical and hall conductivity, thermopower and Nernst, I present a study of longitudinal and transverse transport in graphene for the dilute limit of impurities. The temperature and carrier density dependence in this system display a number of anomalous properties that can be related to three effects: 1) emergence of &ldquo chirality &rdquo, 2) vanishing density of states at the chemical potential in the ideal undoped (zero gate voltage) systems and 3) nature of scattering. In an attempt to theoretically understand these anomalous transport properties, I use the theory of quantum transport in a two-dimensional system with Unitary(lattice vacancy) and screened Coulomb(charge impurity in the underlining substrate) scatterers. I show for a system such as graphene, the type of scattering potential has a profound effect on all transport properties, even though both types of potentials induce low energy states that yield a finite density of states at zero energy. My results are compared with experimental data for both types of scatterer and I show for a single set of impurity parameters all transport properties can be reproduced to agree qualitative with the features observed in experimental data. Parts of this work have been submitted to Physical Review B and are currently in the review process.