Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites

Abstract

The double exchange model describing the coupling between conduction electrons and localized magnetic moments is relevant for a large family of physical systems including manganites. Here we reveal that the one dimensional double exchange model with an incommensurate magnetic elliptical spiral is a topological insulator with a Chern number $2\mathbb{Z}$ in the two dimensional space with one physical dimension and one ancillary dimension spanned by the Goldstone mode of the spiral. Moreover, the electronic states can be localized for a strong local exchange coupling. The topological protected edge states are responsible for the pumping of electron charge, and give rise to multiferroic response. Our work uncovers hitherto undiscovered nontrivial topology and Anderson localization in the double exchange model with possible applications to perovskite manganites.

8 pages and 10 figures

References in corpus (6)

• Spin current and magneto-electric effect in non-collinear magnets
• Role of the Dzyaloshinskii-Moriya interaction in multiferroic perovskites
• Topological Anderson Insulator
• Mobility Edges in 1D Bichromatic Incommensurate Potentials
• Origin of the multiferroic spiral spin-order in the RMnO3 perovskites
• Incommensurate spiral order from double exchange interactions

Cited by in corpus (4)

• Topological Sliding Moiré Heterostructure
• Enhanced Superconductivity in Quasi-periodic Crystals
• Dimension transcendence and anomalous charge transport in magnets with moving multiple-$Q$ spin textures
• Quasiperiodic criticality and spin-triplet superconductivity in superconductor-antiferromagnet moire patterns