Incommensurate Magnetic Ordering from One-Dimensional Correlated Topological Bulk States

TL;DR

This paper presents a phenomenological model based on a topological 1-D Dirac Hamiltonian to explain incommensurate magnetic ordering in various correlated electron compounds and materials.

Contribution

It introduces a novel topological model that accounts for incommensurate wave vectors in complex materials using a 1-D Dirac Hamiltonian framework.

Findings

Successfully models incommensurate ordering wave vectors in multiple compounds.

Links topological properties to magnetic ordering phenomena.

Provides insights into bulk state emergence driven by fluctuations.

Abstract

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.