Physical Review E
We study the effects of next-nearest-neighbor (NNN) interactions on the dynamics of the one-dimensional spin-1/2 transverse Ising model in the high-temperature limit. We use exact diagonalization to obtain the time-dependent transverse correlation function and the corresponding spectral density for a tagged spin. Our results for chains of 13 spins with periodic boundary conditions produce results which are valid in the infinite-size limit. In general we find that the NNN coupling produces slower dynamics accompanied by an enhancement of the central mode behavior. Even in the case of a strong transverse field, if the NNN coupling is sufficiently large, then there is a crossover from collective mode to central mode behavior. We also obtain several recurrants for the continued fraction representation of the relaxation function.
Quantum mechanics; Quantum Physics
Citation: Pilot Scholars Version (Modified MLA Style)
Guimaraes, P.R.C.; Plascak, J.A.; Bonfirm, O.F. de Alcantara; and Florencio, J., "Dynamics of the transverse Ising model with next-nearest-neighbor interactions" (2015). Physics Faculty Publications and Presentations. 59.