Diffusive Model

  • Franz Wegner
Chapter
First Online:
Part of the Lecture Notes in Physics book series (LNP, volume 920)

Abstract

In this chapter, tight-binding models in a d-dimensional space with random on-site and hopping matrix elements are introduced. As in the random matrix models of the preceding chapter, models of three different symmetries are distinguished. Again, the properties of these systems can be described by non-linear \(\sigma\)-models. In Sects. 22.2–22.5, the unitary case, which corresponds to the situation of broken time-reversal invariance, is discussed in some detail, whereas in Sects. 22.6 and 22.7, the properties of the systems obeying time-reversal invariance with and without spin conservation are considered.

Keywords

Saddle Point Hydrodynamic Limit Saddle Point Approximation Random Matrix Model Unitary Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Franz Wegner
    • 1
  1. 1.Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany

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