Numerical study of the quantum valley Hall effect
  Under more consideration, it seems that bulk valley current mediated nonlocal resistance is inconsistent with Landau-Buttiker formalism. We believe Landau-Buttiker formalism is right and the declared bulk valley current mediated nonlocal resistance is questionable and the experimental signal should be attributed to other origins. 
S. K. Wang, Jun Wang, and Jun-Feng Liu
cond-mat.mes-hall