Effect of the next-nearest neighbor hopping on the stability and band structure of the incommensurate phases in the cuprates

Details Effect of the next-nearest neighbor hopping on the stability and band structure of the incommensurate phases in the cuprates Effect of the next-nearest neighbor hopping on the stability and band structure of the incommensurate phases in the cuprates

2006-09-19

arxiv.org/abs/cond-mat/0609479v2

phys. stat. sol. (b) 244, 2521 (2007)

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 5 figures

Scientific paper

10.1002/pssb.200674622

Using a spin-rotation invariant version of the slave-boson approach we investigate the relative stability and band structure of various incommensurate phases in the cuprates. Our findings obtained in the Hubbard model with next-nearest neighbor hopping $-t'/t\simeq 0.15$, as appropriate for the La$_{2-x}$Sr$_x$CuO$_4$ family, support the formation of diagonal (vertical) stripe phases in the doping regime $x=1/16$ ($x=1/8$), respectively. In contrast, based on the fact that a larger value $-t'/t=0.3$ expected for YBa$_2$Cu$_3$O$_{6+\delta}$ triggers a crossover to the diagonal (1,1) spiral phase at increasing doping, we argue that it might explain why the static charge order has been detected in YBa$_2$Cu$_3$O$_{6+\delta}$ only in the highly underdoped regime.

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