Fermions on Lifshitz Background
  We study a non-relativistic fermionic retarded Green's function by making use of a fermion on the Lifshitz geometry with critical exponent z = 2. With a natural boundary condition, respecting the symmetries of the model, the resultant retarded Green's function exhibits a number of interesting features including a flat band. We also study the finite temperature and finite chemical potential cases where the geometry is replaced by Lifshitz black hole solutions. 
Mohsen Alishahiha, M. Reza Mohammadi Mozaffar and Ali Mollabashi
hep-th