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

Marcin Raczkowski; Raymond Fresard; Andrzej M. Oles

doi:10.1002/pssb.200674622

paper

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

arXiv:cond-mat/0609479 · doi:10.1002/pssb.200674622

Abstract

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 $- t^{'} / t ≃ 0.15$ , 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 $_{6 + δ}$ 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 $_{6 + δ}$ only in the highly underdoped regime.

arXiv comment5 pages, 5 figures

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

Abstract

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