发表机构
Shenzhen University; Quantum Science Center of Guangdong-Hongkong-Macao Greater Bay Area; The University of Hong Kong（深圳大学; 粤港澳大湾区量子科学中心; 香港大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在开放 Bloch 系统中提出 Lindblad 相位几何，通过环境诱导电流顶点产生新霍尔响应，即使 Berry 曲率效应为零也能实现有限霍尔电导。
AI 中文摘要
量子几何是 Bloch 系统中多种输运现象的基础。然而，当 Bloch 电子与环境耦合时，量子几何输运如何被修改，在很大程度上仍未被探索，尽管环境可以同时改变电子态和物理电流算符。在此，我们在保迹 Lindblad 动力学理论框架内，通过将物理速度定义为位置算符的 Liouvillian 时间导数，构建了直流线性响应理论。这一构造揭示了电流顶点中由环境诱导的贡献，其动量空间旋度产生了由 Lindblad 跳跃振幅（表征电子-环境耦合）编码的规范不变相位几何所支配的新霍尔响应。在耗散耦合的领头阶，该几何分别由非对角和对角跳跃振幅产生带间位移矢量和对角涡度霍尔响应。值得注意的是，即使传统 Berry 曲率反常霍尔效应完全消失，这两种机制也能产生有限的霍尔电导率。我们的工作确立了 Lindbladian 相位几何作为开放量子物质中横向输运的一个独立几何起源。
英文摘要
Quantum geometry underlies a wide range of transport phenomena in Bloch systems. How quantum-geometric transport is modified when Bloch electrons are coupled to an environment, however, remains largely unexplored, even though the environment can alter both the electronic state and the physical current operator. Here we formulate dc linear response within a trace-preserving Lindblad kinetic theory by defining the physical velocity as the Liouvillian time derivative of the position operator. This construction reveals an environment-induced contribution to the current vertex whose momentum-space curl generates new Hall responses governed by the gauge-invariant phase geometry encoded by Lindblad jump amplitudes, which characterize electron-environment coupling. To leading order in the dissipative coupling, this geometry gives rise to interband shift-vector and diagonal-vorticity Hall responses arising from off-diagonal and diagonal jump amplitudes, respectively. Remarkably, both mechanisms can produce a finite Hall conductivity even when the conventional Berry-curvature anomalous Hall effect vanishes identically. Our work establishes Lindbladian phase geometry as an independent geometric origin of transverse transport in open quantum matter.
