Incommensurate Magnetic Ordering from One-Dimensional Correlated Topological Bulk States

A phenomenological model accounts for the calculation of incommensurate ordering wave vectors (IC) in several Ce- and U-based f-electron itinerant compounds (CePtSn, CePdSn, CeNiSn, CeRhIn$_5$, URu$_2$Si$_2$, CeNiAsO, CeCu$_{(6-x)}$Au$_x$, UNi$_2$Al$_3$, CeCuSn) as well as in BSSCO, Rb$_2$ZnBr$_4$, MnSi and prototypical IC system Chromium metal. This model is justified by a many-body topological one-dimensional (1-D) Dirac Hamiltonian after center of mass transformation on a chiral set of momenta defined by a local expansion of crystallographic Bragg planes. Implications for the emergence of long range bulk states driven by fluctuations with this model are discussed.