Stripe Structures and the Berry-Phase Connection: Concept of Geometric Energy

Abstract

Electronic states of an $e_g$ electron are calculated in the system composed of two MnO${}_6$ octahedra with the inclusion of the Berry phase acquired by parallel transport. Based on this calculation, a comment is made on the controversy between ``Wigner-crystal'' and ``paired-stripe'' models for the the insulating charge-ordered manganese oxides.

4 pages, 2 figures

Cited by in corpus (4)

• Charge-orbital ordering and phase-separation in the two-orbital model for manganites: Roles of Jahn-Teller phononic and Coulombic interactions
• Orbital ordering phenomena in $d$- and $f$-electron systems
• Topological Scenario for Stripe Formation in Manganese Oxides
• The $E\otimes e$ Jahn-Teller Polaron in Comparison with the Holstein Polaron