Unifying and Geometric Theory for Competing Orders in Low-Dimensional Magnets and Bose Systems

点击翻译按钮获取中文摘要

An approach based on (bosonic) effective Hamiltonians has been developed in order to understand in a unifying and systematic manner the novel competing phases (vector-chiral, spin-nematic, etc.) in frustrated systems (specifically, quantum magnets with multiple-spin exchange interactions in 1D and 2D). The problem of magnetization plateaus has been revisited from the point of view of topological effects. It has been pointed out that a novel spin-liquid type plateaus with topological order may be realized in high magnetic fields.