Defects, Disorder, and Localization

  • Ulrich Rössler
Part of the Advanced Texts in Physics book series (ADTP)


The crystalline order of a solid, characterized by the configuration {R n 0 } of all atoms with their equilibrium positions at lattice points, has been anticipated throughout this book so far. The essential consequence of the lattice periodicity, deriving from this configuration, is that all states be it of phonons, of electrons, or of magnons follow Bloch’s theorem with a modulus that repeats with the lattice period, e.g.
$$ \left| {{\psi _{nk}}\left( {r + R_n^0} \right)} \right| = \left| {{\psi _{nk}}\left( r \right)} \right|,\quad for\,all\;R_n^0 $$


Green Function Landau Level Impurity Potential Coherent Potential Approximation Host Atom 
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  1. 1.
    Yakov Ilyich Frenkel 1894 – 1954Google Scholar
  2. 2.
    Hans Albrecht Bethe *1906, Noble prize in physics 1967Google Scholar
  3. 3.
    E. E. Salpeter *1924Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Ulrich Rössler
    • 1
  1. 1.Institut für Theoretische PhysikUniversität RegensburgRegensburgGermany

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