Journal Title

Physical Review E

Publication Date

10-2015

Abstract

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.

Subjects

Quantum mechanics; Quantum Physics

Publication Information

Physical Review E, 2015, Volume 92, Issue 4, 1-9.

© 2015 American Physical Society

Archived version is the final published version.

DOI

10.1103/PhysRevE.92.042115

Peer-Reviewed

Yes

Document Type

Journal Article

Included in

Physics Commons

Share

COinS