论文标题
量子电导率的量规不变性
Gauge Invariance of the Thermal Conductivity in the Quantum Regime
论文作者
论文摘要
量子状态中广泛使用的热传导的线性反应（LR）理论取决于尚未证实的假设，即相对于系统能量密度的量表，导热率是不变的。这个假设清楚地表明了Hardy对热量畅通运算符的表述[Phys。修订版132，168（1963）]。在这项工作中，我们严格证明了这一假设。我们的证据对核和电子子系统有效，不仅将最新的理论置于扎实的基础上，而且还可以超越广泛使用的Boltzmann运输方程（BTE）的范围，以在多体系统的LR框架内。
The widely used linear-response (LR) theory of thermal conduction in the quantum regime rests on the yet unproven assumption, that the thermal conductivity is invariant with respect to the gauge of the energy density of the system. This assumption manifests itself clearly in, e.g., Hardy's formulation of the heat-flux operator [Phys. Rev. 132, 168 (1963)]. In this work, we rigorously prove this assumption. Our proof, being valid for the nuclear and electronic subsystems, not only puts the state-of-the-art theory on solid grounds, but also enables going beyond the scope of the widely-used Boltzmann transport equation (BTE) within the LR framework for many-body systems.
