论文标题
Mott-Hubbard相变，绝缘子统计中的间隙电子液体
Mott-Hubbard phase transition, gapped electron liquid in insulator stat
论文作者
论文摘要
在平均场方法的框架内，Hubbard和Falicov-Kimball模型中考虑了Mott-Hubbard相变，用于半填充职业。结果表明，静态Z_2字段用双电池在晶格上形成绝缘体状态，其强度取决于Hubbard的相互作用。 Z_2字段的均匀构型对应于无间隙旋转液态状态，即形成带有双电池的晶格的构型，对应于散布的费米昂液体，费米子在该磁场中移动。由于在绝缘子状态下存在静态场，因此间隙电子液体的形成与基塔耶夫模型中的无间隙Majorana旋转液体相似[1]。根据链，正方形和立方晶格的哈伯德相互作用的大小，计算频谱中的差距。所提出的方法使我们能够描述Mott-Hubbard相变和同一形式中的绝缘体状态，以针对不同模型的任意维度。
Within the framework of a mean-field approach the Mott-Hubbard phase transition is considered in the Hubbard and Falicov-Kimball models for half-filled occupation. It is shown that a static Z_2-field forms an insulator state on the lattice with a double cell, its strength is determined by the Hubbard interaction. An uniform configuration of the Z_2-field corresponds to a gapless spin liquid state, the configuration, at which the lattice with a double cell is formed, corresponds to a gapped fermion liquid, fermions move in this field. Due to the presence of a static field in an insulator state, a formation of a gapped electron liquid is similar to the gapless Majorana spin liquid in Kitaev's model [1]. A gap in the spectrum is calculated depending on the magnitude of the Hubbard interaction for the chain, square and cubic lattices. The proposed approach allows us to describe the Mott-Hubbard phase transition and the insulator state within the same formalism for an arbitrary dimension for different models.
