Skip to main content

Solution of the Multifluxline Ground State Problem in Disordered Systems

  • Conference paper
Computer Simulation Studies in Condensed-Matter Physics XIII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 86))

  • 164 Accesses

Abstract

We present a numerical method to calculate exact ground states of multifluxline systems with quenched disorder, which is based on a minimum cost flow algorithm from combinatorial optimization. This method is applied to the N-line model with N fluxlines (FL) in a 2 or 3 dimensional environment of width L and height H with pure point disorder, hard-core repulsion and fixed boundary conditions. We find that the saturation roughness of the FL scales like w sat ∼ In L (for 2d and in dense limit for 3d).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.K. Ajuda, Network Flows: theory, algorithms, and applications (Prentice-Hall, 1993)

    Google Scholar 

  2. H. Rieger, Phys. Rev. Lett. 81, 4488 (1998)

    Article  ADS  Google Scholar 

  3. G. Schröder, T. Knetter and H. Rieger (to be published)

    Google Scholar 

  4. T. Halpin-Healy and Y.-C. Zhang, Phys. Rep. 254, 215 (1995)

    Article  ADS  Google Scholar 

  5. M. Alava, P. Duxbury, C. Moukarzel, and H. Rieger, Combinatorial Optimization and Disordered Systems, in Phase Transitions and Critical Phenomena, ed. by C. Domb and L.L. Lebowitz (Academic Press, New York, to be published)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Schröder, G., Knetter, T., Rieger, H. (2001). Solution of the Multifluxline Ground State Problem in Disordered Systems. In: Landau, D.P., Lewis, S.P., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics XIII. Springer Proceedings in Physics, vol 86. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-56577-9_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-56577-9_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41190-1

  • Online ISBN: 978-3-642-56577-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics