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\title{Computational Studies of Thermoelectricity in Strongly Correlated
  Electron Systems}
\author{Gunnar P\'alsson}

\campus{New Brunswick}
\program{Physics and Astronomy}
\director{Professor Gabriel~B. Kotliar}
\approvals{5}
\copyrightpage
\submissionmonth{May}
\submissionyear{2001}

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\abstract{We compute transport properties of strongly correlated electron
systems with special attention to thermoelectric properties.  The transport
parameters are computed within the dynamical mean field theory using the
non-crossing approximation and iterated perturbation theory to solve the
dynamical mean field equations.  The results of our calculations compare
favorably with experiments on La$_{1-x}$Sr$_{x}$TiO$_{3}$.

In the second half of the thesis we develop a method for computing the
transport properties of strongly correlated materials using real bandstructure
data and self energy provided by extensions of the dynamical mean field theory
to real systems.  The method is tested on data for alkali and noble metals
using a simple functional form for self energies.  The method is also applied
to compute the transport parameters for a simple, multiorbital, t$_{2g}$ model
of the La$_{1-x}$Sr$_{x}$TiO$_{3}$ system and the results are compared to data
from plain LDA bandstructure calculations.}

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\acknowledgements{I am grateful to my adviser, Gabriel Kotliar for providing
guidance and direction for my research over the last few years.  Special
thanks go also to Sergej Y.~Savrasov whose help was crucial in bringing this
work to conclusion.

I would moreover like to thank Aram Mekjian, Joel Lebowitz, Mark Croft and
Sergej Savrasov for acting as members of my Ph.D. committee.

Thanks to my many friends here at Rutgers, Markus Raschke, Andrew Ho, Kevin
Chase, Venkateswara (Venky) Sarma Kancharla, Ken Ahn, Balakrishna Subramanian,
George Patani, Clifford Smyth, Thomas Walker, Ekkehard Lange, Victor Oudovenko
and Alexander Poteryaev for enjoyable, interesting, and at times fruitful
discussions.

Special thanks go to my good friends and compatriots, R�nar Helgi Andrason,
Hei�d�s Karlsd�ttir and their son Kristinn for making me feel at home on
Thursday nights.

To my parents in law, Harish and Kumud Chandra, and the rest of the family my
heartfelt gratitude for the warmth with which they have accepted me into their
hearts. 

Many thanks to my uncle Bjarni Magn�sson for numerous philosophical
discussions, stories, travelogues, poetry and general considerations for my
well being.

To my parents, �slaug Magn�sd�ttir and Ragnar Haraldsson, my love for helping
me stay grounded and miraculously extending the feeling of home across the
seven seas.

Finally my deepest love goes to my wonderful wife, Giti, whose loving care,
wit and wisdom has been an endless source of inspiration and confidence, (and
whose talent for nonsensical blathering has never failed to pick up my
spirits).


}

\dedication{I dedicate this thesis to my grandparents, the shipbuilder Magn�s
Bjarnason and his wife Ingibj�rg Halld�rsd�ttir; the farmer Kristj�n Sigur�son
and his wife A�albj�rg Vilhj�lmsd�ttir.  } 

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