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Critical behaviour of the ising model in a transverse field

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Zeitschrift für Physik

Abstract

A theory for the critical behaviour of the Ising model in a transverse field is presented. The existence of a central component in the spectral density of the longitudinal spin relaxation function is shown to result self-consistently from decay into itself and energy-fluctuation diffusion mode. Estimates of the various quantities are made forT nearT c , the damping is seen to be temperature dependent. Our theory is appropriate for the caseΓJ whereΓ andJ are the magnitudes of the transverse field and the exchange interaction between the spins respectively. Its relevance to neutron scattering data on Van Vleck paramagnets is discussed.

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References

  1. Wang, Y.L., Cooper, B.R.: Phys. Rev.172, 539 (1968)

    Google Scholar 

  2. de Gennes, P. G.: Solid State Commun.1, 132 (1963)

    Google Scholar 

  3. Birgeneau, R.J., Als-Nielsen, J., Bucher, E.: Phys. Rev. Lett.27, 1530 (1971)

    Google Scholar 

  4. Kaminow, I.P., Damen, T.C.: Phys. Rev. Lett.20, 1105 (1968)

    Google Scholar 

  5. Cheung, T.H.: Phys. Stat. Sol. (b)58, 567 (1973)

    Google Scholar 

  6. Mori, H.: Progr. Theor. Phys. (Kyoto)34, 399 (1965)

    Google Scholar 

  7. Sears, V.F.: Can. J. Phys.47, 199 (1969)

    Google Scholar 

  8. Wilcox, R.M.: Phys. Rev.174, 624 (1968)

    Google Scholar 

  9. Huber, D.L., Tommet, T.: Solid State Commun.12, 803 (1973)

    Google Scholar 

  10. Rainford, B.D., Houmann, J.G.: Phys. Rev. Lett.26, 1254 (1971)

    Google Scholar 

  11. Mori, H., Kawasaki, K.: Progr. Theor. Phys. (Kyoto)27, 529 (1962)

    Google Scholar 

  12. Feder, J.: Solid State Commun.3, 2021 (1971)

    Google Scholar 

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Cheung, T.H. Critical behaviour of the ising model in a transverse field. Z. Physik 267, 251–256 (1974). https://doi.org/10.1007/BF01669444

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  • DOI: https://doi.org/10.1007/BF01669444

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