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

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 $-t^{\prime }/t\simeq 0.15$, 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 $-t^{\prime }/t=0.3$ 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.

5 pages, 5 figures

References in corpus (4)

• Slave-boson approach to the metallic stripe phases with large unit cells
• Interplay between incommensurate phases in the cuprates
• Microscopic origin of diagonal stripe phases in doped nickelates
• Nodal-antinodal dichotomy and magic doping fractions in a stripe ordered antiferromagnet

Cited by in corpus (3)

• Unidirectional d-wave superconducting domains in the two-dimensional t-J model
• Magnetic ordering in the striped nickelate La5/3Sr1/3NiO4: A band structure point of view
• Stripes in cuprate superconductors: Excitations and dynamic dichotomy