Skip to main content
SpringerLink
Log in

The spin 1/2 Heisenberg-star with frustration: Ground state and thermodynamics

  • Magnetism
  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We investigate a spin 1/2 Heisenberg antiferromagnet (AFM) H = J1 ∑ Ni =1 s0s i + J2HRs i describing a central spin which interacts with a surrounding medium hr. We present general relations for the eigen values, the eigen states and the spin correlation function and study the model in more detail for Hr being either a linear chain or a Lieb-Mattis AFM. Additional to the ground state properties we calculate the full thermodynamics in the case of Hr being a Lieb-Mattis AFM.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. H. Bethe,Z. Phys. 71, 205 (1931).

    Google Scholar 

  2. E. Lieb and D.C. Mattis,J. Math. Phys. 3, 749 (1962)

    Google Scholar 

  3. J. Richter and A. Voigt,J. Phys. A: Math. Gen. 27 1139 (1994).

    Google Scholar 

  4. H. Hellmann,Einführung in die Quantenchemie Leipzig, (1937). R.P. Feynmann,Phys. Rev. B,56, 340 (1939)

  5. J. Villain et al.,Phys. (Paris)41, 1263 (1980).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Magdeburg, D-3901, Magdeburg, Germany

    Andreas Voigt, Johannes Richter & Sven E. Krüger

Authors
  1. Andreas Voigt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Johannes Richter
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sven E. Krüger
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Voigt, A., Richter, J. & Krüger, S.E. The spin 1/2 Heisenberg-star with frustration: Ground state and thermodynamics. J Low Temp Phys 99, 381–383 (1995). https://doi.org/10.1007/BF00752313

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00752313

PACS numbers

Search

Navigation