论文标题
无序的二维电子气体的非线性Sigma模型与粒子孔不对称
Non-linear sigma model with particle-hole asymmetry for the disordered two-dimensional electron gas
论文作者
论文摘要
非线性Sigma模型是一种完善的理论工具，用于研究无序电子系统中的运输和热力学。相互作用系统的常规Sigma模型方法无法解释粒子孔不对称性。因此，它不适合研究对这种效果敏感的数量，例如热电运输系数。在这里，我们得出了针对二维相互作用系统定制的Keldysh非线性Sigma模型的最小扩展。我们认为，该模型可用于系统地研究相互作用和障碍对热电运输的综合作用。作为朝这个方向的第一步，我们使用该模型来分析热密度密度相关函数的结构，并计算与其静态部分的相互作用校正。对相关函数的动力学部分和热力传输系数的相互作用校正的计算将保留在未来的工作中。
The non-linear sigma model is a well-established theoretical tool for studies of transport and thermodynamics in disordered electronic systems. The conventional sigma model approach for interacting systems does not account for particle-hole asymmetry. It is therefore not suited for studying quantities that are sensitive to this effect such as the thermoelectric transport coefficient. Here, we derive a minimal extension of the Keldysh non-linear sigma model tailored for two-dimensional interacting systems. We argue that this model can be used to systematically study the combined effect of interactions and disorder on thermoelectric transport. As a first step in this direction, we use the model to analyze the structure of the heat density-density correlation function and calculate interaction corrections to its static part. The calculation of interaction corrections to the dynamical part of the correlation function and the thermodynamic transport coefficient is left for future work.
