Disorder And Competition In Soluble Lattice Models
World Scientific Publishing Co Pte Ltd
Published on 1. August 1993
Book
Hardback
248 pages
978-981-02-1416-6 (ISBN)
Description
At present, existing literature on this subject matter can only be said to relate in minor areas to this work. Important concepts in statistical mechanics, such as frustration, localization, Lifshitz and Griffiths singularities, multicritical points, modulated phases, superselection sectors, spontaneous symmetry breaking and the Haldane phase, strange attractors and the Hausdorff dimension, and many others, are illustrated by exactly soluble lattice models. There are examples of simple lattice models which are shown to give rise to spectacular phase diagrams, with multicritical points and sequences of modulated phases. The models are chosen to enable a concise exposition as well as a connection with real physical systems (as dilute antiferromagnets, spin glasses and modulated magnets). A brief introduction to the properties of dynamical systems, an overview of conformal invariance and the Bethe Ansatz and a discussion of some general methods of statistical mechanics related to spontaneous symmetry breaking, are included in the appendices. A number of exercises are included in the text to help the comprehension of the most representative issues.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
ISBN-13
978-981-02-1416-6 (9789810214166)
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Schweitzer Classification
Persons
Author
Univ De Sao Paulo, Brazil
Univ De Sao Paulo, Brazil
Content
Dilute systems; lattice models with competing interactions; spin glasses; quantum lattice systems with competing interactions; a brief introduction to dynamical system; the theorems of Aubry; Bethe Ansatz and conformal invariance; unicity of phases, unicity in a sector, and spontaneous symmetry breaking.