Skip to main content

Decoupled-Cell Quantum Monte Carlo: How Should We Calculate the Energy?

  • Conference paper
Book cover Computer Simulation Studies in Condensed-Matter Physics VII

Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 78))

  • 169 Accesses

Abstract

An alternative and more general method for calculating the energy in a Decoupled Cell Monte Carlo simulation is presented. Examining this method on the one-dimensional XY model, the energy calculated from the cell energies is found to be well behaved in the low temperature limit, unlike the traditional energy calculation based on spin-spin correlations. In addition, the cell energies scale with the cell size, and thus can be extrapolated to infinite cell size to further remove errors arising from the finite size of the cell in the Monte Carlo.

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. S. Homma, H. Matsuda, and N. Ogita, Prog. Theor. Phys. 72 (1984), 1245.

    Article  ADS  Google Scholar 

  2. S. Homma, H. Matsuda, and N. Ogita, Prog. Theor. Phys. 75 (1986), 1058.

    Article  ADS  Google Scholar 

  3. S. Homma, K. Sano, H. Matsuda, and N. Ogita, Prog. Theor. Phys. Supp. 87 (1986), 127.

    Article  ADS  Google Scholar 

  4. S. Homma, H. Matsuda, N. Ogita, and K. Sano, J. Phys. Soc. Jpn. 62 (1993), 880.

    Article  ADS  Google Scholar 

  5. R. Creswick and C. Sisson, Mod. Phys. Lett. B 5 (1991), 907.

    Article  ADS  Google Scholar 

  6. R. Creswick and C. Sisson, In Quantum Monte Carlo Methods in Condensed Matter Physics ed. M. Suzuki, (World Scientific, 1993).

    Google Scholar 

  7. S. Katsura, Phys. Rev. 127 (1962), 1508.

    Article  MATH  ADS  Google Scholar 

  8. C. Sisson, Ph.D. dissertation (1993).

    Google Scholar 

  9. C. Sisson and R. Creswick, preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1994 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sisson, C.J. (1994). Decoupled-Cell Quantum Monte Carlo: How Should We Calculate the Energy?. In: Landau, D.P., Mon, K.K., Schüttler, HB. (eds) Computer Simulation Studies in Condensed-Matter Physics VII. Springer Proceedings in Physics, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-79293-9_24

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-79293-9_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-79295-3

  • Online ISBN: 978-3-642-79293-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics