$\mathcal{PT}$-对称性作为共线反铁磁体中安德森局域化的有效时间反演对称性
$\mathcal{PT}$-symmetry as Effective Time Reversal Symmetry for Anderson Localization in a Collinear Antiferromagnet
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中文总结 AI 辅助
本研究证明$\mathcal{PT}$对称性在反铁磁体BaMn$_2$Bi$_2$中充当有效时间反演对称性，控制安德森局域化，其稳健性受交换和磁晶相互作用调控，而横向磁场显著削弱量子干涉。
中文摘要 AI 辅助
我们证明，在反铁磁体BaMn$_2$Bi$_2$中，$\mathcal{PT}$-对称性充当控制安德森局域化的有效时间反演对称性，而一般的时间反演对称性则被其长程磁有序所破坏。磁导率遵循由电荷载流子与磁矢量势的轨道耦合破坏时间反演对称性所确立的定律，然而，对称性破坏的程度受到稳定$\mathcal{PT}$相关子晶格的磁晶各向异性的定性调制。控制这些现象的量子干涉和跃迁幅度受到横向磁场的剧烈削弱，横向磁场容易使$\mathcal{PT}$相关的磁子晶格倾斜。因此，当$\mathcal{PT}$相关的织构被沿子晶格取向的纵向场微弱扰动时，局域化受到极小影响。$\mathcal{PT}$强制的简并性的稳健性因此由交换相互作用和磁晶相互作用控制，这与完整哈密顿量的精确$\mathcal{PT}$对称性形成对比，后者被任何有限场破坏。
英文摘要
We show that $\mathcal{PT}$-symmetry acts as the effective time-reversal symmetry governing Anderson localization in the antiferromagnet BaMn$_2$Bi$_2$, whereas the general time-reversal symmetry is broken by its long-range magnetic order. The magnetoconductance follows the laws established from breaking time-reversal symmetry throuhg the orbital coupling of charge carriers to the magnet vector potential, however, the degrees of symmetry breaking are qualitatively modulated by the magnetocrystalline anisotropy stabilizing $\mathcal{PT}$-related sublattices. The quantum interferences and hoping amplitudes governing the phenomena are drastically impaired by transverse magnetic fields, which readily cant $\mathcal{PT}$-related magnetic sublattices. Accordingly, when the $\mathcal{PT}$-related texture is weakly perturbed by longitudinal fields orienting along the sublattices, the localization is minutely affected. The robustness of the $\mathcal{PT}$-enforced degeneracies is thus governed by exchange and magnetocrystalline interactions, in contrast to the exact $\mathcal{PT}$-symmetry of the full Hamiltonian, which is broken by any finite field.
发表机构
- Aarhus University（奥胡斯大学）
- BAQIS（北京量子信息科学研究院）
- Japan Atomic Energy Agency（日本原子能机构）
- Jozef Stefan Institute（约瑟夫·斯特凡研究所）
- University of Ljubljana（卢布尔雅那大学）
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