Luttinger Liquid Instabilities in n-component 1-D Lattice Fermionic Systems

We investigate phases and phase transitions of n-component 1-D lattice fermions models by DMRG and bosonization method. We consider models which are the deformation of SU(n) Hubbard model. For example, masses and interactions can be anisotropic. We examine the instabilities (phases) by studying which modes are gapped and what composite operators remain gapless. SU(n) Hubbard models have "spin" gapped phases and charge gapped/fully gapped phases. We find that the above phases are all robust under moderate deformation. For sufficiently large deformation, we explore the possible new phases such as p-wave pairs or "p-wave" trions.