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Physica C Superconductivity

n-Leg ladders: dx2−y2 pairing and striped domain walls

Douglas J. Scalapino, Steven R. White

Published Nov 1, 2000• 3 citations
Publisher
DOI
10.1016/s0921-4534(00)00513-x

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Competition between stripes and pairing in a t−t′−J model

Steven R. White, Douglas J. Scalapino

As the number of legs $n$ of an $n$-leg, $t\ensuremath{-}J$ ladder increases, density-matrix renormalization group calculations have shown that the doped state tends to be characterized by a static array of domain walls and that pairing correlations are suppressed. Here we present results for a ${t\ensuremath{-}t}^{\ensuremath{'}}\ensuremath{-}J$ model in which a diagonal, single-particle, next-nearest-neighbor hopping ${t}^{\ensuremath{'}}$ is introduced. We find that this can suppress the formation of stripes and, for ${t}^{\ensuremath{'}}$ positive, enhance the ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-like pairing correlations. The effect of ${t}^{\ensuremath{'}}>0$ is to cause the stripes to evaporate into pairs and for ${t}^{\ensuremath{'}}<0$ to evaporate into quasiparticles. Results for $n=4$ and 6 $n$-leg ladders are discussed.

arXiv:cond-mat/9812187•Physical review. B, Condensed matter•Jul 1, 1999•184 citations
As the number of legs nnn of an nnn-leg, $t\ensuremath{-}J$ ladder increases, density-matrix renormalization group calculations have shown that the doped state tends to be characterized by a static array of domain walls and that pairing correlations are suppressed. Here we present results for a ${t\ensuremath{-}t}^{\ensuremath{'}}\ensuremath{-}J$ model in which a diagonal, single-particle, next-nearest-neighbor hopping ${t}^{\ensuremath{'}}$ is introduced. We find that this can suppress the formation of stripes and, for ${t}^{\ensuremath{'}}$ positive, enhance the ${d}_{{x}^{2}\ensuremath{-}{y}^{2}}$-like pairing correlations. The effect of ${t}^{\ensuremath{'}}>0$ is to cause the stripes to evaporate into pairs and for ${t}^{\ensuremath{'}}<0$ to evaporate into quasiparticles. Results for n=4n=4n=4 and 6 nnn-leg ladders are discussed.