The Role of Topology in Materials

  • Sanju Gupta
  • Avadh Saxena

Part of the Springer Series in Solid-State Sciences book series (SSSOL, volume 189)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Introductory

    1. Front Matter
      Pages 1-1
    2. Sanju Gupta, Avadh Saxena
      Pages 3-33
    3. Rossen Dandoloff
      Pages 35-50
  3. Condensed Matter Materials Physics

    1. Front Matter
      Pages 51-51
    2. Wei-Feng Tsai, Hsin Lin, Arun Bansil
      Pages 141-169
  4. Biology and Mathematics

    1. Front Matter
      Pages 171-171
    2. Joanna I. Sulkowska, Piotr Sułkowski
      Pages 201-226
  5. Soft Matter and Biophotonics

    1. Front Matter
      Pages 227-227
    2. Gareth P. Alexander
      Pages 229-257
  6. Back Matter
    Pages 291-297

About this book


This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. 

The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. 

In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure–property–function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.


Carbon Allotropes Topology Topological Defects, Vortices, Skyrmions Topological Insulators Dirac Materials Weyl Semimetals Topology of Knots Topological Soft Matter Topological Photonic Materials

Editors and affiliations

  • Sanju Gupta
    • 1
  • Avadh Saxena
    • 2
  1. 1.Department of Physics and AstronomyWestern Kentucky UniversityBowling GreenUSA
  2. 2.Theoretical DivisionLos Alamos National LaboratoryLos AlamosUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG, part of Springer Nature 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-76595-2
  • Online ISBN 978-3-319-76596-9
  • Series Print ISSN 0171-1873
  • Series Online ISSN 2197-4179
  • Buy this book on publisher's site
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