The effect of Hund's Coupling on one-dimensional Luttinger Liquids
  Two one-dimensional Luttinger liquid systems coupled by Hund's coupling are studied by the renormalization group and the non-abelian bosonization methods. It is found that the Hund's coupling is always relevant irrespective of the repulsive interaction between electrons within each chain.   The properties of the resulting strong coupling fixed point are discussed. 
Hyun C. Lee and S. -R. Eric Yang