{"@context":"http://iiif.io/api/presentation/2/context.json","@type":"sc:Manifest","@id":"https://iiif.quartexcollections.com/portland/iiif/22eab816-2d50-4053-969a-63aa036bcd1e/manifest","label":"Dynamics of the transverse Ising model with next-nearest-neighbor","metadata":[{"label":"Title","value":"Dynamics of the transverse Ising model with next-nearest-neighbor interactions"},{"label":"Collection","value":["Physics Faculty Publications"]},{"label":"Relation","value":"phy"},{"label":"Author","value":"P. R. C. Guimaraes, J. A. Plascak, O. F. de Alcantara Bonfim, J. Florencio"},{"label":"Journal Title","value":"Physical Review E"},{"label":"Abstract","value":"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."},{"label":"DOI","value":"10.1103/PhysRevE.92.042115"},{"label":"Volume","value":"92"},{"label":"Issue","value":"4"},{"label":"Publication Date","value":"D:00 M:10 Y:2015"},{"label":"Publication Information","value":"Physical Review E, 2015, Volume 92, Issue 4, 1-9. © 2015 American Physical Society Archived version is the final published version."}],"description":"Dynamics of the transverse Ising model with next-nearest-neighbor interactions","sequences":[{"@type":"sc:Sequence","canvases":[{"@id":"https://iiif.quartexcollections.com/portland/iiif/22eab816-2d50-4053-969a-63aa036bcd1e/canvas/_1","@type":"sc:Canvas","label":"Dynamics of the transverse Ising model with 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