Topological Luttinger liquids from decorated domain walls

Daniel E. Parker, Thomas Scaffidi, Romain Vasseur
2018 Physical review B  
We introduce a systematic construction of a gapless symmetry protected topological phase in one dimension by "decorating" the domain walls of Luttinger liquids. The resulting strongly interacting phases provide a concrete example of a gapless symmetry protected topological (gSPT) phase with robust symmetry-protected edge modes. Using boundary conformal field theory arguments, we show that while the bulks of such gSPT phases are identical to conventional Luttinger liquids, their boundary
more » ... ir boundary critical behavior is controlled by a different, strongly-coupled renormalization group fixed point. Our results are checked against extensive density matrix renormalization group calculations.
doi:10.1103/physrevb.97.165114 fatcat:lh5xdqiruneevehgofdfdnujzu