2001/09/21 by G. B. Martins, J. C. Xavier, Liliana Arrachea +3 · 1 citation
Mathematics · Physics and Astronomy · #Algorithm #Computer science #Constructive #Magnetic confinement fusion research #Mathematical analysis #Mathematics #Physics #Physics of Superconductivity and Magnetism #Process (computing) #Quantum and electron transport phenomena #Sign (mathematics) #cond-mat.supr-con
paper · pdf · doi:10.1103/physrevb.64.180513
published as Phys Rev B 64, 180513(R) (2001) · 5 pages, 4 figures, to appear in PRB as a Rapid Communication
arxiv created 2001/09/21 · openalex publication_date 2001/10/22 · arxiv updated 2015/06/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Numerical calculations illustrate the effect of the sign of the next-nearest-neighbor hopping term t^\ensuremath' on the two-hole properties of the t\ensuremath-t^\ensuremath'\ensuremath-J model. Working mainly on two-leg ladders, in the \ensuremath-1.0<~t^\ensuremath'/t<~1.0 regime, it is shown that introducing t^\ensuremath' in the t\ensuremath-J model is equivalent to effectively renormalizing J, namely t^\ensuremath' negative (positive) is equivalent to an effective t\ensuremath-J model with smaller (bigger) J. This effect is present even at the level of a 2\ifmmode×\else\texttimes\fi2 plaquette toy model, and was observed also in calculations on small square clusters. Analyzing the transition probabilities of a hole pair in the plaquette toy model, it is argued that the coherent propagation of such hole pair is enhanced by a constructive interference between both t and t^\ensuremath' for t^\ensuremath'>0. This interference is destructive for t^\ensuremath'<0.