Skip to main content
SpringerLink
Log in

Spectral and dispersion properties of pair soliton states in a quasi-one-dimensional anisotropic antiferromagnet withS=1/2

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

By solution of the Schrödinger equation in the continuum approximation, it is shown analytically that there exist excited eigenstates of the quasi-one-dimensional Ising antiferromagnet with spinS=1/2 in the form of spatially localized quantum states. Computer modeling of a discrete model of interacting solitons with allowance for the symmetry of the solutions gives eigenvalues of the Sturm sequence that differ from the solutions of the continuum approximation. The spectral and dispersion properties of the nonlinear bound states of lowest energy and the selection rules in resonance transitions in an external magnetic field applied parallel to and perpendicular to the axis of magnetic anisotropy are calculated.

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. M. Mekata and K. Adachi,J. Phys. Soc. Jpn.,44, 806 (1978).

    Google Scholar 

  2. J. Villain,Physica (Utrecht) B,79, 1 (1975).

    Google Scholar 

  3. H. Shiba,Prog. Theor. Phys.,80, 466 (1980).

    Google Scholar 

  4. H. Shiba and K. Adachi,J. Phys. Soc. Jpn.,50, 3278 (1981).

    Google Scholar 

  5. H. C. Fogedby,Theoretical Aspects of Mainly Low Dimensional Magnetic Systems, Springer Verlag, Berlin (1980).

    Google Scholar 

  6. L. D. Landau and E. M. Lifshitz,Quantum Mechanics: Nonrelativistic Theory, 2nd ed., Pergamon Press, Oxford (1965).

    Google Scholar 

  7. S. N. Martynov, in:Physical Properties of Magnets [in Russian], L. V. Kirenski Physics Institute, Siberian Branch, USSR Academy of Sciences (1990), pp. 34–43.

  8. J. P. Boucher, G. Rius, and Y. Henry,Europhys. Lett.,4(9), 1073 (1987).

    Google Scholar 

  9. H. Kikuchi and Y. Ajiro,J. Phys. Soc. Jpn.,58, 2531 (1989).

    Google Scholar 

Download references

Authors
  1. S. N. Martynov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

L. V. Kirenski Physics Institute, Siberian Branch, USSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 91, No. 1, pp. 112–119, April, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Martynov, S.N. Spectral and dispersion properties of pair soliton states in a quasi-one-dimensional anisotropic antiferromagnet withS=1/2. Theor Math Phys 91, 405–409 (1992). https://doi.org/10.1007/BF01019832

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01019832

Keywords

Search

Navigation