Skip to main content
SpringerLink
Log in

A thorough investigation of the projector quantum Monte Carlo method using MPP technologies

  • Conference paper
  • First Online:
Applied Parallel Computing Computations in Physics, Chemistry and Engineering Science (PARA 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1041))

Included in the following conference series:

  • 214 Accesses

Abstract

The projector quantum Monte Carlo method is one of the most important numerical techniques in solid state physics to study the ground-state properties of many-electron systems. It can be applied to a variety of systems, but is most often used to study models for the recently discovered high-temperature superconducting compounds. We give a survey of the algorithm and discuss technical details and general problems that occur. Furthermore, we present a performance and error analysis for our implementation of the algorithm when applied to the 2-dimensional Hubbard model. It appears that massive parallelization can speed up and stabilize the final results, and more detailed studies will give rise to an improved parallel algorithm.

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

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. W. Negele and H. Orland, Quantum Many-Particle Systems, edited by Frontiers in Physics, (Addison-Wesly Publishing Company, 1987, p.400 ff.); M. H. Kalos, Phys. Rev. 128 (1962) 1791; M. H. Kalos, D. Levesque and L. Verlet, Phys. Rev. A 9 (1973) 2178.

    Google Scholar 

  2. W. v.d. Linden, Phys. Rep. 220 (1992) 53.

    Google Scholar 

  3. J. Hubbard, Proc. R. Soc. A 276 (1963) 238.

    Google Scholar 

  4. G. Sugiyama and S. E. Koonin, Ann. Phys. 168 (1986) 1.

    Google Scholar 

  5. H. F. Trotter, Prog. Am. Math. Soc. 10 (1959) 545; M. Suzuki, Prog. Theor. Phys. 56 (1976) 1454; M. Suzuki, J. Math. Phys. 26 (1985) 601; M. Suzuki, Phys. Rev. Lett. 146 (1990) 319.

    Google Scholar 

  6. J. Hubbard, Phys. Rev. Lett. 3 (1959) 77; J. E. Hirsch, Phys. Rev. B 28 (1983) 4059.

    Google Scholar 

  7. Connection Machine Model CM-5 Technical Summary, November 1993.

    Google Scholar 

  8. R. T. Scalletar, R. M. Noack and R. R. P. Singh, Phys. Rev. B 44 (1991) 10502.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Max-Planck-Institut für Plasmaphysik, Euratom Association, 85748, Garching bei München, Germany

    Peter Valášek

  2. Institut für Theoretische Physik, Technische Universität Dresden, Germany

    Ralf Hetzel

Authors
  1. Peter Valášek
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Ralf Hetzel
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Jack Dongarra Kaj Madsen Jerzy Waśniewski

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Valášek, P., Hetzel, R. (1996). A thorough investigation of the projector quantum Monte Carlo method using MPP technologies. In: Dongarra, J., Madsen, K., Waśniewski, J. (eds) Applied Parallel Computing Computations in Physics, Chemistry and Engineering Science. PARA 1995. Lecture Notes in Computer Science, vol 1041. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60902-4_55

Download citation

  • DOI: https://doi.org/10.1007/3-540-60902-4_55

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60902-5

  • Online ISBN: 978-3-540-49670-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation