论文标题
莫特（Mott
Mott transition in two-band fermion model with on-site Coulomb repulsion
论文作者
论文摘要
我们提供了两个带fermion模型的分析和数值解决方案，并在半填充时提供现场库仑。在限制生成频段和一个平坦频段的案例中，该模型分别减少到哈伯德和Falicov-kimball模型。我们已经表明，由于不同带的fermions与Monga K和K $+π$杂交，绝缘体状态出现了一半填充。这种杂交打破了每个频段中粒子数量的保存，莫特过渡是自发对称性破裂的结果。根据现场库仑排斥的大小以及链的宽度以及方形和立方晶格的宽度，计算频谱中的间隙。所提出的方法使我们能够描述哈伯德和falicov-kimball模型在同一机制的框架内的缝隙中的间隙形成，以实现系统的任意维度。
We provide analytical and numerical solution of the two band fermion model with on-site Coulomb at half filling. In limiting cases for generate bands and one flat band, the model reduces to the Hubbard and Falicov-Kimball models, respectively. We have shown that the insulator state emerges at half filling due to hybridization of fermions of different bands with momenta k and k$+π$. Such hybridization breaks the conservation of the number of particles in each band, the Mott transition is a consequence of spontaneous symmetry breaking. A gap in the spectrum is calculated depending on the magnitude of on-site Coulomb repulsion and the width of the band for the chain, as well as for square and cubic lattices. The proposed approach allows us to describe the formation of the gap in the fermion spectra in the Hubbard and Falicov-Kimball models within the framework of the same mechanism for an arbitrary dimension of the system.
