Coulomb-glasses and generic SK-models

Coulomb-glasses and generic SK-models

Comparison of Coulomb-gap scaling behavior

LAP Lambert Academic Publishing ( 2011-10-12 )

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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.

Book Details:

ISBN-13:

978-3-8465-2484-8

ISBN-10:

3846524840

EAN:

9783846524848

Book language:

English

By (author) :

Hannes Schenck

Number of pages:

96

Published on:

2011-10-12

Category:

Other