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Long Time Dynamics of the Transverse Ising Model - Comparison With Data onLiTbF 4

Published online by Cambridge University Press:  01 January 1992

Surajit Sen ,
João Florencio Jr  and
Zhi-Xiong Cai
Surajit Sen
Affiliation:
Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824
João Florencio Jr
Affiliation:
Department of Physics, Pennsylvania State University, Altoona, PA 16601
Zhi-Xiong Cai
Affiliation:
Materials Science Division, Brookhaven National Laboratory, Upton, NY 11973
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Abstract

We use the continued fraction formalism (CFF) to obtain the zz- component of the dynamical spin pair correlations of a transverse Ising model (TIM) in 2D at T = ∞ for the first time. Our calculations suggest that the correlation function decays algebraically at long times as t−α , 1.5 < α < 2.2, which is slower than gaussian decay found for the corresponding dynamical correlation in 1D. The calculations suggest that the corresponding dynamical correlation in 3 D is also likely to exhibit a power law decay. Our results compare favorably with the neutron scattering data on LiTbF 4, for T > Tc, an induced moment ferromagnet.

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Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 291: Symposium O – Materials Theory and Modeling , 1992 , 337
Copyright
Copyright © Materials Research Society 1993

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References

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