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

TL;DR

This paper investigates the electronic states of an eg electron in a MnO6 system considering Berry phase effects, providing insights into the debate between Wigner-crystal and paired-stripe models in charge-ordered manganese oxides.

Contribution

It introduces a geometric energy concept based on Berry-phase considerations to analyze electronic states in manganese oxide systems.

Findings

Electronic states are calculated with Berry phase effects included.

The study offers a perspective on the Wigner-crystal vs. paired-stripe controversy.

Highlights the role of geometric energy in charge ordering phenomena.

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.