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38670 results in Cambridge Textbooks

Page 1029 of 1934

  • 10 - Magnetic Behavior of Solids

  • Efthimios Kaxiras, Harvard University, Massachusetts, John D. Joannopoulos, Massachusetts Institute of Technology
  • Book:
    Quantum Theory of Materials
    Published online:
    05 April 2019
    Print publication:
    18 April 2019, pp 480-528

  • Summary

    In this chapter we examine the magnetic behavior in different types of solids. Magnetic order in a solid, induced either by an external field or by inherent properties of the structure, may be destroyed by thermal effects, that is, the tendency to increase the entropy by randomizing the direction of microscopic magnetic moments. Thus, magnetic phenomena are typically observed at low temperatures where the effect of entropy is not strong enough to destroy magnetic ordering.

  • 4 - From Many Particles to the Single-Particle Picture

  • Efthimios Kaxiras, Harvard University, Massachusetts, John D. Joannopoulos, Massachusetts Institute of Technology
  • Book:
    Quantum Theory of Materials
    Published online:
    05 April 2019
    Print publication:
    18 April 2019, pp 161-226

  • Summary

    Up to this point we have treated electrons in solids as essentially independent particles and solved the appropriate single-particle Schrödinger equations, exploiting only the symmetries imposed by the presence of the crystal lattice of ions. Given the strong and long-range interaction between electrons, that is, the Coulomb repulsion, and the fact that they are indistinguishable particles, we would expect a more complicated behavior, including some degree of correlation in the motion of these interacting particles. Thus, a better justification for the single-particle picture is required. We provide a comprehensive justification in this chapter.

Page 1029 of 1934