Date of Award

8-31-2017

Document Type

Open Access Thesis

Degree Name

Master of Science (MS)

Department

Physics, Applied

First Advisor

Stephen Arnason

Second Advisor

Bala Sundaram

Third Advisor

Rahul Kulkarni

Abstract

Hopping conductance between the sites in disordered systems is mapped to a random resistor network named Miller-Abrahams network. The conductance between two sites is in an exponential form depending on two parameters, the space separation and energy separation between sites. Our effort is focused on the visualization of the random resistor network. We find all the realizations for one electron hop and plot out the according random resistor networks. By comparing the random resistor network structures, we find that Coulomb interaction plays an important role in calculating the hopping conductance between sites. Furthermore, we rank the realizations by total energy and plot out its distribution. We find out that the total energy of all these realizations for one electron hop may follow a Gaussian distribution.

Comments

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