Coulomb-glasses and generic SK-models

ISBN-13: 9783846524848 / Angielski / Miękka / 96 str.

Hannes Schenck

Opis

In this book two different disordered systems are studied: the SK-model (with its fermionic counterpart the fermionic Ising model ISGf) and the Coulomb-glass. Both models are known to exhibit a glass phase and a pseudo-gap around the Fermi-level, and the work will focus on different aspects of their pseudo-gaps. For the famous SK-model new numerical results using Replica Symmetry Breaking are obtained and a new fit routine is presented. The Coulomb-Glass (CbGl) is investigated by analytic calculations following work done by Müller and Pankov. By investigating these models this book gives detailed examples of a variety of mathematical tools used in modern theoretical solid state physics dealing with disorder. The Replica Symmetry Breaking scheme is applied for numerical calculations with a parallel algorithm, a discrete theory is transformed to continuous field theory allowing path-integral calculations and approximations like the locator approximation are used.

O autorze

Hannes Schenck was born in Berlin in 1985. He got his Master's degree from the University of New Mexico (Albuquerque) in 2009 and finished his Diploma in 2011 at the Julius-Maximilian Universität in Würzburg. He is currently working on his PhD at the Universität Köln.