Distorted Perovskite with e_g^1 Configuration as a Frustrated Spin System
T. Kimura, S. Ishihara, H. Shintani, T. Arima, K. T. Takahashi, K., Ishizaka, and Y. Tokura

TL;DR
This paper investigates the complex spin and orbital ordering in distorted perovskite manganites with an $e_g^1$ configuration, revealing how structural distortions induce frustrated interactions leading to unique antiferromagnetic states.
Contribution
It demonstrates how GdFeO$_3$-type distortions in $R$MnO$_3$ induce anisotropic interactions, resulting in novel sinusoidal and E-type antiferromagnetic orders.
Findings
Identification of frustrated spin systems in distorted perovskites
Correlation between structural distortion and magnetic ordering
Discovery of unique sinusoidal and E-type antiferromagnetic states
Abstract
The evolution of spin- and orbital-ordered states has been systematically investigated for a series of insulating perovskites MnO (=La,Pr,Nd,...). MnO with a large GdFeO-type distortion is regarded as a frustrated spin system having ferromagnetic nearest-neighbor and antiferromagnetic (AF) next-nearest-neighbor (NNN) interactions within a MnO plane. The staggered orbital order associated with the GdFeO-type distortion induces the anisotropic NNN interaction, and yields the unique sinusoidal and -type ("up-up-down-down") AF ordered states in the distorted perovskites with configuration.
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