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Quasicrystals

Quasicrystals
Author: D. P. DiVincenzo
Publisher: World Scientific
Total Pages: 634
Release: 1999
Genre: Science
ISBN: 9789810241568

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Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student. In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.


Quasicrystals: The State Of The Art (2nd Edition)

Quasicrystals: The State Of The Art (2nd Edition)
Author: David Divincenzo
Publisher: World Scientific
Total Pages: 632
Release: 1999-11-16
Genre: Science
ISBN: 9814493902

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Quasicrystals: The State of the Art has proven to be a useful introduction to quasicrystals for mathematicians, physicists, materials scientists, and students. The original intent was for the book to be a progress report on recent developments in the field. However, the authors took care to adopt a broad, pedagogical approach focusing on points of lasting value. Many subtle and beautiful aspects of quasicrystals are explained in this book (and nowhere else) in a way that is useful for both the expert and the student.In this second edition, some authors have appended short notes updating their essays. Two new chapters have been added. Chapter 16, by Goldman and Thiel, reviews the experimental progress since the first edition (1991) in making quasicrystals, determining their structure, and finding applications. In Chapter 17, Steinhardt discusses the quasi-unit cell picture, a promising, new approach for describing the structure and growth of quasicrystals in terms of a single, repeating, overlapping cluster of atoms.


Luttinger Model

Luttinger Model
Author: Vieri Mastropietro
Publisher: World Scientific
Total Pages: 312
Release: 2014
Genre: Science
ISBN: 9814520721

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The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. In several respects it plays the same role in many-body theory as does the 2D Ising model in statistical physics. Interest in the Luttinger model has increased steadily ever since its introduction half a century ago. The present volume starts with reprints of the seminal papers in which it was originally introduced and solved, and continues with several contributions setting out the landscape of the principal advances of the last fifty years and of prominent new directions.


Superconductivity

Superconductivity
Author: G. P. Malik
Publisher: World Scientific
Total Pages: 248
Release: 2016
Genre: Science
ISBN: 9814733083

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Polaritons in Periodic and Quasiperiodic Structures

Polaritons in Periodic and Quasiperiodic Structures
Author: Eudenilson L. Albuquerque
Publisher: Elsevier
Total Pages: 359
Release: 2004-12-09
Genre: Science
ISBN: 0080539173

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In recent years there have been exciting developments in techniques for producing multilayered structures of different materials, often with thicknesses as small as only a few atomic layers. These artificial structures, known as superlattices, can either be grown with the layers stacked in an alternating fashion (the periodic case) or according to some other well-defined mathematical rule (the quasiperiodic case). This book describes research on the excitations (or wave-like behavior) of these materials, with emphasis on how the material properties are coupled to photons (the quanta of the light or the electromagnetic radiation) to produce “mixed waves called polaritons. · Clear and comprehensive account of polaritons in multilayered structures · Covers both periodic and quasiperiodic superlattices · Careful attention to theoretical developments and tools · Invaluable guide for researchers in this field · Shows developments from the basics to advanced topics


Quasicrystals

Quasicrystals
Author: Paul Steinhardt
Publisher: World Scientific
Total Pages: 536
Release: 1991-10-22
Genre:
ISBN: 9814566535

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This review volume provides the most up-to-date and authoritative description of research on icosahedral solids, which has advanced rapidly since the discovery of these unique materials in 1984. The present book, intended as a companion volume to the reprint volume on The Physics of Quasicrystals edited by P Steinhardt and S Ostlund, will be invaluable to graduate students and workers in the field as a comprehensive reference. Scientists in related fields can use it as a readable introduction to the important current problems in quasicrystals. The chapters have been written by many of the most prominent theorists and experimentalists on quasicrystals, both physicists and materials scientists, from around the world. Especially exciting are the details of the recent discovery of “perfect quasi-crystals”, new materials which promise to be an ideal form of quasiperiodic matter with little or no disorder. Other topics include: electron, X-ray and neutron quasi-crystallography, scanning tunneling microscopy studies, electronic transport experiments, quasicrystal faceting and statistical mechanics, growth rules and matching rules for quasicrystals, group theory and elasticity theory. Contents:Progress and Current Issues in Quasicrystals (D P DiVincenzo & P J Steinhardt)Order and Disorder in Icosahedral Alloys (P A Bancel); Neutron Scattering Approaches to Quasicrystals (Ch Janot & M de Boissieu)High-Resolution Electron Microscopy of Quasicrystals (K Hiraga)Scanning Tunneling Microscopy Studies of Quasicrystals (R S Becker & A R Kortan)(Quasi) Crystallography is Better in Fourier Space (N D Mermin)Matching Rules for Quasicrystalline Tilings (K Ingersent)Growth Rules for Quasicrystals (J E S Socolar)Continuous Atomic Surfaces (L S Levitov)Chiral Smectics as Quasicrystals (T C Lubensky et al.)Experimental Studies of Electronic Transport in Quasicrystals (K Kimura & S Takeuchi)Electronic Structure and Transport of Quasicrystals (T Fujiwara & H Tsunetsugu)Electronic-Structure and Total-Energy Calculation for Quasicrystals and Related Crystals (A E Carlsson & R Phillips)Faceting and Surface Roughening in Quasicrystals (T-L Ho)Random Tiling Models (C L Henley) Readership: Condensed matter physicists, crystallographers, materials scientists, metallurgists and mathematicians. keywords:Quasicrystal;Phason;Icosahedral Symmetry;Penrose Tilings;Random Tilings;Quasiperiodicity;Pinning;Fibonacci Lattice;Quasilattice;Quasicrystallography;Localization;Critical States “… timely and useful … I recommend this book to those in the field and to everyone interested in quasicrystals …” Marjorie Senechal Science


Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals

Aperiodic'97 - Proceedings Of The International Conference On Aperiodic Crystals
Author: Roland Currat
Publisher: World Scientific
Total Pages: 830
Release: 1999-01-29
Genre:
ISBN: 9814545228

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This book deals with various aspects of aperiodic crystals, quasicrystals, incommensurate crystals, composite crystals, modulated crystals and polytypes. It is mainly oriented towards crystallographic investigations and to the search for new theoretical and methodological methods aiming to model this state of matter and to understand the links between the structure and the properties. Basically multidisciplinary, the book covers many fields of aperiodic crystals, from materials science to mathematics.


Aperiodic Order: Volume 1, A Mathematical Invitation

Aperiodic Order: Volume 1, A Mathematical Invitation
Author: Michael Baake
Publisher: Cambridge University Press
Total Pages: 548
Release: 2013-08-22
Genre: Mathematics
ISBN: 1316184382

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Quasicrystals are non-periodic solids that were discovered in 1982 by Dan Shechtman, Nobel Prize Laureate in Chemistry 2011. The underlying mathematics, known as the theory of aperiodic order, is the subject of this comprehensive multi-volume series. This first volume provides a graduate-level introduction to the many facets of this relatively new area of mathematics. Special attention is given to methods from algebra, discrete geometry and harmonic analysis, while the main focus is on topics motivated by physics and crystallography. In particular, the authors provide a systematic exposition of the mathematical theory of kinematic diffraction. Numerous illustrations and worked-out examples help the reader to bridge the gap between theory and application. The authors also point to more advanced topics to show how the theory interacts with other areas of pure and applied mathematics.


Aperiodic Order

Aperiodic Order
Author: Michael Baake
Publisher: Cambridge University Press
Total Pages: 548
Release: 2013-08-22
Genre: Mathematics
ISBN: 0521869919

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A comprehensive introductory monograph on the theory of aperiodic order, with numerous illustrations and examples.