论文标题
分数Chern绝缘子的具体示例
A Concrete Example of Fractional Chern Insulator
论文作者
论文摘要
我们提出了一个具体的示例，即Chern绝缘子的典型示例，其Fermion Hamiltonian包括跳跃和库仑的排斥相互作用术语。他们俩在方格上都是有限范围的。在相互作用的哈密顿式互动限制的强大耦合限制中，我们表明大厅的电导在填充$ 3/8 $的四倍降级地面状态方面的预期价值，将大厅电导分为$ 1/2 $。我们还提出了一个稍有不同的示例，其中出现了远距离的充电密度波，而Chern数字$ 1 $。
We present a concrete example of fractional Chern insulator whose fermion Hamiltonian consists of hopping and Coulomb repulsive interaction terms. Both of them are of finite range on the square lattice. In a strong coupling limit for the interaction Hamiltonian, we show that the Hall conductance is fractionally quantized to $1/2$ in the sense of the expectation value with respect to the four-fold degenerate ground state at the filling $3/8$. We also present a slightly different example in which there appears a long-range order of charge density wave with the Chern number $1$.
