论文标题

Mott Transition的关键终点处的Bethe-Salpeter方程

The Bethe-Salpeter equation at the critical end-point of the Mott transition

论文作者

van Loon, Erik G. C. P., Krien, Friedrich, Katanin, Andrey A.

论文摘要

电子之间强烈的排斥性相互作用会导致莫特金属绝缘体的转变。动态平均场理论(DMFT)用单粒子概念(例如光谱函数和准粒子的重量)解释了临界终点和磁滞区域。在这项工作中,我们重新考虑了两个粒子水平上金属 - 绝缘体过渡的临界终点。我们表明,非本地Bethe-Salpeter内核的相关特征值和特征值提供了磁滞区和Mott Transition的临界终点的统一图。特别是,它们同时解释了磁滞区域的热力学和DMFT方程的迭代稳定性。该分析为对相关材料中的相变深度转变铺平了道路。

Strong repulsive interactions between electrons can lead to a Mott metal-insulator transition. The Dynamical Mean-Field Theory (DMFT) explains the critical end-point and hysteresis region with single-particle concepts such as the spectral function and the quasiparticle weight. In this work, we reconsider the critical end point of the metal-insulator transition on the two-particle level. We show that the relevant eigenvalue and eigenvector of the non-local Bethe-Salpeter kernel provide a unified picture of the hysteresis region and of the critical end point of the Mott transition. In particular, they simultaneously explain the thermodynamics of the hysteresis region and the iterative stability of the DMFT equations. This analysis paves the way for a deeper understanding of phase transitions in correlated materials.

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