Calculation of the optical conductivity for the Anderson impurity model using the slave boson technique

The optical conductivity of the Anderson impurity mode l has been calculated by emp l oying the slave boson technique and an expansion in powers of l i N, where N is the d egeneracy o f the f electron level . This method has been used to find the effective mass of the conduction electrons for temperatures above and below the Kondo tempera ture. For low temperatures, the mass enhancement is f ound to be large while a t high t emperatures, the mass enhancement is sma ll. The conductivity i s f ound to be Drude like with frequency dependent effective mass and scattering time for low independent effective mass and temperatures and scattering time f requency for high t emperatures. The behavior of both the effective mass and the conductivity is in qualitative agreement with experimental r esul t s .

HG 186.15-186.25-1

Coarse grained section with two different fine grained domains. Towards the left hand side the domain is dark and has no inclusions of coarse grains. The right hand side has some coarser materials.

HG 186.9-187.0 D.E. Thin Section

Coarse grained sample with grains varying from small to medium in size. They range from sub-angular to sub-rounded in shape. The sample is abundant in lineations and comet structures. Minor amounts of grain stacking are present. Inclusions of a clay rich, fine grained domain.

HG 291.40-291.55 Thin Section

Coarse grained sample with inclusions of finer grained sediment. Clasts are small to large in size and angular to sub-rounded in shape. Grain crushing is abundant in this sample, and lineations and minor grain stacks can also be seen.

HG 303.85-303.95

This is a dark grey, coarse grained sediment with inclusions of fine grained sand. Lineations and grains stacking are the most common features seen, along with grain crushing (mainly edge-to-edge). A few minor rotation structures can also be observed with comet structures.

HG 149.70-149.85

Brown sediment with clasts ranging from small to medium in size. Clast shape ranges from angular to rounded. Lineations and grain crushing are abundant throughout the sample. This sample also includes several inclusions of darker and fine grained domains. Comet structures can also be seen in some areas of the sample.

TVD #9 PB

Dark brown sediment (almost black), with a few clasts that are very well dispersed. The clasts range from small to medium in size. The clast shape ranges from sub-angular to rounded. The sample is mainly structureless. There are a few inclusions of a lighter domain. This domain contains more clasts than the darker one.

9 AUG B-2-B

This sample contains multiple domains. One domain is a fine grained greyish-brown ground mass, with some small clasts. Another domain is a dark grey, structure-less ground mass. Another domain is a light greyish-brown domain that is generally fine grained with clay inclusions.

WR-2

Dark brown sediment with clasts ranging from small to large in size. Clast shape ranges from angular to sub-rounded. The main domain mainly contains larger aggregates. There is one domain inclusion in this sample. It mainly contains small and medium sized clasts, and contains many lineations. Necking structures can be commonly seen in the main domain between larger aggregates. This sample also contains many elongated clasts and inclusions of clay material.

1544 BH17 NP 2014

Brown sediment with inclusions of a clay rich domain. Clasts range from small to medium in size and angular to sub-rounded in shape. Lineations can be commonly seen throughout the sample, along with water escape structures in the clay rich domain. Rotation structures, comet structures, and grain crushing are also present.