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

为了以统一和系统的方式理解受挫系统（特别是在1D和2D中具有多自旋交换相互作用的量子磁体）中新的竞争相（矢量手性，自旋向列等），开发了一种基于（玻色子）有效哈密顿子的方法。本文从拓扑效应的角度重新讨论了磁化高原问题。指出在强磁场中可以实现具有拓扑有序的新型自旋液体型高原。

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.