Mechanism of the reorientation of stripes in the cuprates
  Using the mean field theory in the slave-boson approach we analyzed the electron correlation effects in the stripe phases. One finds that a finite next-nearest neighbor hopping $t'$ plays an important role in the low doping regime, where it controls the crossover from the filled diagonal to half-filled vertical/horizontal stripes at doping $ x\simeq 1/16$. 
Marcin Raczkowski, Raymond Fresard, Andrzej M. Oles