论文标题
动态电荷围栏效应和奴隶费米恩的方法
Dynamic charge Kondo effect and a slave fermion approach to the Mott transition
论文作者
论文摘要
莫特（Mott）过渡在强相关的物理学中起着关键作用，但其性质尚未完全理解。由于最近开发了Schwinger Boson方法的Kondo Grattice，我们在这项工作中提出了一种新型的奴隶费米昂算法来研究Mott的过渡。局部近似后，我们的方法产生了一个相图，在有限的库仑相互作用$ u $上，在平方晶格上，有限的库仑相互作用$ u $在有限的库仑相互作用$ u $时产生了相图，并且电阻率在量子宽度线周围显示出临界尺度的电阻率。我们认为，莫特过渡可能与局部变性dublon和holon状态的动态电荷围关系有关，从而在Doublon/Holon和Electron光谱上引起急剧的共鸣。一旦将抗铁磁相关性包括在内，将过渡推向$ u = 0 $，与精确的数值计算一致。我们的方法捕获了莫特过渡的一些基本特征，并提供了一个替代角度来查看这一重要问题。它可以扩展到研究其他相关的电子模型，并具有更复杂的局部相互作用。
Mott transition plays a key role in strongly correlated physics but its nature is not yet fully understood. Motivated by recent development of Schwinger boson approach for the Kondo lattice, we propose in this work a novel slave fermion algorithm to study the Mott transition. Upon local approximation, our method yields a phase diagram with a zero-temperature continuous (Mott) metal-insulator transition at finite Coulomb interaction $U$ for the half-filled one-band Hubbard model on a square lattice, and the resistivity exhibits a critical scaling around the quantum Widom line. We argue that the Mott transition may be associated with a dynamic charge Kondo effect of local degenerate doublon and holon states, causing sharp resonances on the doublon/holon and electron spectra. The transition is pushed to $U=0$ once intersite antiferromagnetic correlations are included, in agreement with exact numerical calculations. Our approach captures some essential features of the Mott transition and offers an alternative angle to view this important problem. It can be extended to study other correlated electron models with more complicated local interactions.
