论文标题
一维空间调制的无旋转费用模型中的拓扑结尾状态
Topological end states in a one-dimensional spatially modulated interaction spinless fermion model
论文作者
论文摘要
理论上通过精确的对角线化和密度矩阵重新归一化组方法研究了空间调制相互作用对一维相互作用无旋转费米的量子相变的影响。我们的计算表明，定期调制的相互作用可以将无旋转费用系统推向拓扑电荷密度波状态。拓扑状态由Quasiparticle端状态和分数量化的$ E/2 $结束费用编码，其特征在于浆果阶段和Chern编号。准粒子能光谱作为调制相互作用周期的函数似乎是一个令人惊叹的分形结构。对于准周期病例，也可能发生拓扑相变。总而言之，空间调制的互动可能是实现相互作用拓扑阶段的新的简单而优雅的途径。
The effect of spatially modulated interaction on quantum phase transition in one-dimensional interacting spinless fermion system is theoretically investigated by exact diagonalization and density matrix renormalization group method. Our calculations show that the periodically modulated interaction can drive the spinless fermion system into topological charge density wave state. The topological state is encoded by quasiparticle end states and the fractional quantized $e/2$ end charges, and characterized by Berry phase and Chern number. The quasiparticle energy spectra as a function of modulated interaction period appears a stunning fractal-like structure. For the quasi-periodic case, the topological phase transition can also occur. In a word, the spatially modulated interaction can be a new simple and elegant avenue towards realizing to interacting topological phases.
