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Frustrated systems: Ground state properties via combinatorial optimization

  • Heiko Rieger
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 501)

Abstract

An introduction to the application of combinatorial optimization methods to ground state calculations of frustrated, disordered systems is given. We discuss the interface problem in the random bond Ising ferromagnet, the random field Ising model, the diluted antiferromagnet in an external field, the spin glass problem, the solid-on-solid model with a disordered substrte and other convex cost flow problems occurring in superconducting flux line lattices and traffic flow networks. On the algorithmic side we present a concise introduction to a number of elementary algorithms in combinatorial optimization, in particular network flows: the shortest path algorithm, the maximum-flow algorithms and minimum-cost-flow algorithms. We also take a glance at the minimum weighted matching and branch-and-cut algorithms.

Keywords

Spin Glass Ground State Property Negative Cycle Short Path Distance Residual Network 
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 1998

Authors and Affiliations

  • Heiko Rieger
    • 1
  1. 1.HLRZ c/o Forschungszentrum JülichJülichGermany

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