Topological and trivial doamin wall states in interacting 1D lattice systems

Abstract

A domain wall occurs as a significant point whenever a spontaneous broken discrete symmetry exists in condensed matter systems . A recent paper reported that atomically-adjustable topological domain wall states can be manipulated in the c(2×2) chlorinated Cu(100) by using the tip of a scanning tunneling microscope (STM). But there was a mistake, where they failed to distinguish topological domain walls from trivial ones in interacting 1D lattice systems. For example, certain trivial domain walls were demarcated as topological ones. In this talk, we would like to discuss why the domain wall states are trivial and how to make them topologically. Our finding would be useful to investigate topological domain walls in interacting discrete lattice systems