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Symmetry and Symmetry-Breaking in Semiconductors

Fine Structure of Exciton States

  • Book
  • © 2018

Overview

  • Enables readers to gain detailed insight into creating effective Hamiltonians for semiconductors
  • Provides a theoretical framework for Zincblende- and for Wurtzite-type semiconductors
  • Gathers the group theory elements required to develop and calculate numerous symmetry-breaking problems in semiconductors
  • Enables readers to estimate the importance of particular symmetry-breaking effects in semiconductors

Part of the book series: Springer Tracts in Modern Physics (STMP, volume 279)

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Table of contents (8 chapters)

Keywords

About this book

This book discusses group theory investigations of zincblende and wurtzite semiconductors under symmetry-breaking conditions.  The text presents the group theory elements required to develop a multitude of symmetry-breaking problems, giving scientists a fast track to bypass the need for recalculating electronic states. The text is not only a valuable resource for speeding up calculations but also illustrates the construction of effective Hamiltonians for a chosen set of electronic states in crystalline semiconductors.

Since Hamiltonians have to be invariant under the transformations of the point group, the crystal symmetry determines the multiplet structure of these states in the presence of spin-orbit, crystal-field, or exchange interactions. Symmetry-breaking leads to additional coupling of the states, resulting in shifts and/or splittings of the multiplets. Such interactions may be intrinsic, as in the case of the quasi-particle dispersion, or extrinsic, induced by magnetic, electric, or strain fields. Using a power expansion of the perturbations these interaction terms can be determined in their parameterized form in a unique way. The hierarchic structure of this invariant development allows to estimate the importance of particular symmetry-breaking effects in the Hamiltonian. A number of selected experimental curves are included to illustrate the symmetry-based discussions, which are especially important in optical spectroscopy.

This text is written for graduate students and researchers who want to understand and simulate experimental findings reflecting the fine structure of electronic or excitonic states in crystalline semiconductors. 

Authors and Affiliations

  • Institut de Physique et Chimie des Matériaux de Strasbourg, UMR 7504, CNRS, Université de Strasbourg, Strasbourg, France

    Bernd Hönerlage

  • Institute of Physics, Czech Academy of Sciences, v.v.i, Prague 6, Czech Republic

    Ivan Pelant

About the authors

Prof. Dr. Bernd Hönerlage is emeritus at the University of Strasbourg and former senior researcher at the CNRS (France). His research focuses on ultrafast dynamics in bulk semiconductors and nano-objects, especially the non-linear optics and time resolved spectroscopy of bulk semiconductor material and nano-crystals. He has more than 30 years of teaching experience in condensed matter and nano-physics.

Prof. Dr. Ivan Pelant is senior researcher at the Institute of Physics of The Czech Academy of Sciences and Professor of Quantum Optics and Optoelectronics at Charles University, Prague (Czech Republic). His research focuses on optical properties of semiconductors, non-linear optics, nanostructures and nanophotonics.

Bibliographic Information

  • Book Title: Symmetry and Symmetry-Breaking in Semiconductors

  • Book Subtitle: Fine Structure of Exciton States

  • Authors: Bernd Hönerlage, Ivan Pelant

  • Series Title: Springer Tracts in Modern Physics

  • DOI: https://doi.org/10.1007/978-3-319-94235-3

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer Nature Switzerland AG 2018

  • Hardcover ISBN: 978-3-319-94234-6Published: 28 September 2018

  • Softcover ISBN: 978-3-030-06817-2Published: 11 February 2019

  • eBook ISBN: 978-3-319-94235-3Published: 19 September 2018

  • Series ISSN: 0081-3869

  • Series E-ISSN: 1615-0430

  • Edition Number: 1

  • Number of Pages: XV, 240

  • Number of Illustrations: 55 b/w illustrations

  • Topics: Solid State Physics, Semiconductors, Mathematical Methods in Physics

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