TY - GEN
T1 - Long time dynamics of the transverse Ising model - comparison with data on LiTbF4
AU - Sen, Surajit
AU - Florencio,
AU - Cai, Zhi Xiong
PY - 1993
Y1 - 1993
N2 - 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 2 D 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 1 D. 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 LiTbF4, for T>Tc, an induced moment ferromagnet.
AB - 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 2 D 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 1 D. 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 LiTbF4, for T>Tc, an induced moment ferromagnet.
UR - https://www.scopus.com/pages/publications/0027307040
M3 - Conference contribution
AN - SCOPUS:0027307040
SN - 1558991867
T3 - Materials Research Society Symposium Proceedings
SP - 337
EP - 342
BT - Materials Theory and Modelling
PB - Publ by Materials Research Society
T2 - Proceedings of the Materials Research Society Symposium
Y2 - 30 November 1992 through 3 December 1992
ER -