标题： 反厄米和厄米的反铁磁模型研究 显示英文标题

标题： Investigation of non-Hermitian and Hermitian models of Altermagnets

摘要： 绝缘的反铁磁体如MnTe表现出自旋构型，其中相反的自旋不仅反平行排列，而且相对于彼此旋转。 这是一种类似于反铁磁性但具有自旋倾斜的排列方式。 本研究调查了一个模型哈密顿量，该哈密顿量捕捉了此类系统的本质物理特性，包括关键相互作用，包括Dzyaloshinskii-Moriya项和传统交换项、相对论自旋-轨道耦合以及d波和g波序。 通过模拟能量耗散和放大复势引入非厄米动力学。 论文深入探讨了量子几何张量的行为以及在拓扑绝缘体区域内的量子反常霍尔效应的出现。 它还将范围扩展到涵盖非厄米金属反铁磁体，重点关注由对称性破缺的d波和g波序参数表征的相。 显示英文摘要

摘要： Insulating altermagnets like MnTe exhibit spin configurations where opposing spins are not only aligned antiparallel but also rotated relative to each other. This is an arrangement reminiscent of antiferromagnetism with a twist of spin canting. This study investigates a model Hamiltonian that captures the essential physics of such systems, incorporating key interactions including Dzyaloshinskii-Moriya and conventional exchange terms, relativistic spin-orbit coupling, and d-wave and g-wave orderings. Non-Hermitian dynamics are introduced through complex potentials that simulate energy dissipation and amplification. The paper delves into the behavior of the quantum geometric tensor and the emergence of the quantum anomalous Hall effect within the topologically insulating regime. It also broadens the scope to encompass non-Hermitian metallic altermagnets, focusing on phases characterized by symmetry-breaking d-wave and g-wave order parameters.